This given figure carries onto themself at 360, 180, and 60 degrees respectively.
What does carrying a figure onto itself mean?If a rotation between 0° and 360° around the center of a figure in the plane may map the figure onto itself, the figure possesses rotational symmetry. From its starting point, the figure can be rotated and mapped onto itself. The symmetry is of order 4. As a result, the figure displays both rotational and line symmetry.
Given three figures those figures have rotational symmetry from their center point. The fixed point that the rotation revolves around in a figure or object with rotational symmetry is referred to as the center of rotation.
for figure 1
figure 1 does not have rotational symmetry on any given angles thus, its rotational symmetry would be 1 since it carries onto itself at 360°.
for figure 2
figure 2 has rotational symmetry at 180°. thus, its rotational symmetry would be 2 since it carries onto itself at 180° and 360°.
for figure 3
figure 3 has rotational symmetry at 60, 120, 180, and 240. thus, its rotational symmetry would be 6 since it carries onto itself at 60, 120, 180, 240, and 360°.
therefore, the given figures have 1, 2, and 6 rotational symmetry.
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The sixth-grade class is holding a week long fund-raiser. The class set a goal of raising $700. 0. So far they have raised $176. 95. Write an equation that can be used to solve for x, the amount of money the class still must raise to meet their goal
An equation that can be used to find the value of,x=$700.0 - $176.95.
What is an equation ?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
The statement is not an equation if there is no "equal to" sign in it.
According to our question-
x= $700.0 - $176.95
523.05
Hence, An equation that can be used to find the value of,x=$700.0 - $176.95.
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I just need help with number 9 in this picture if anyone could pls help!
7(3n + 2) - 3n - 5 i need to factor it tysvm!!
The answer to the Linear expression 7(3n + 2) - 3n - 5 is 18n + 11
What is a linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
From the expression 7(3n + 2) - 3n - 5
By expanding the bracket, we have
21n + 14 - 3n - 5
By collecting like terms, we have
21n - 3n + 14 - 3
18n + 11
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Cheese pizza was preferred by 40 students pepperoni pizza was preferred by 28 based on the results how many of the 340 students can be expected to prefer cheese pizza?
The number of students expected to prefer cheese pizza from the 340 students is 200 stduents.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Cheese pizza = 40 students
Pepperoni pizza = 28
The ratio of cheese and Pepperoni pizzas.
= 40:28
= 10:7
Now,
Cheese pizza = 10x
Pepperoni pizza = 7x
The number of expected students who prefer cheese pizza.
= (10x)/(17x) x 340
= 10/17 x 340
= 10 x 20
= 200
Thus,
The number of expected students preferring cheese pizza is 200.
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I really need help on this one too
The solution is Option C and Option D.
The exponential function is given by f ( x ) = 2 ( 3 )ˣ
The exponential function is given by f ( x ) = 800 / 4ˣ
What are the laws of exponents?
When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 7 , 19 , 31 , 43 }
The equation of line is y = 12x + 7
This is a linear equation
b)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 5 , 10 , 15 , 30 }
The equation is a quadratic equation
c)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 2 , 6 , 18 , 54 }
The equation is y = 2 ( 3 )ˣ
This is an exponential function
d)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 800 , 200 , 50 , 12.5 }
The equation is f ( x ) = ( 800 / 4ˣ )
This is an exponential function
Hence , the exponential equations are solved
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Find the volume of the cylinder to the nearest tenth. Use 3.14 for
4 in.
I
7 in.
in³
On solving the provided question we can say that - Height(h) = h; Radius(r) = r; Length(l) = l Volume of cylinder A(V)=Volume of cylinder B(v) => [tex]4\pi R^2H = \pi r^2h[/tex]
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
Cylinder A
Height(h) = H; Radius(r) = 2R; Length(l) = L
Cylinder A
Height(h) = h; Radius(r) = r; Length(l) = l
Volume of cylinder A(V)=Volume of cylinder B(v)
[tex]4\pi R^2H = \pi r^2h[/tex]
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A manufacturer tests 1200 computers and finds that 9 of them have defects. Find the probability that a computer chosen at random has a defect. Round your answer to the nearest hundredth.
Probability that computer chosen at random has defect is 0.0075.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes.
What is probability?It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12.
Total number of computers=1200
Total number of damage computers=9
Probability that question chosen at random has defect = 9/1200=0.0075
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(i) Six donkeys are each given 5 ml spoons of medicine three times each day.
Calculate the number of whole days a 2 L bottle of medicine will last.
pls I really need the answer
Hello there!
Answer:
33 days
Step-by-step explanation:
Every day you give 5 ml of medicine to 6 donkeys. So you spent 5 ml * 6 = 30 ml per day
1 L = 1000 ml
To find the answer you should volume of bottle divide by 30 ml per day:
1000 ml / 30 = 33.333...
It means that if will be possible to use the bottle 33 days but then it will be left
Find the length of the third side. If necessary, round to the nearest tenth
Answer:
Step-by-step explanation:
Let AB = 3 units , BC = 1 unit and AC = ? (TO BE CALCULATED)
By Pythagoras theorem:
(AC)²=(AB)²+(BC)²
therefore, (AC)²= 3²+1²
(AC)²=9+1
(AC)²=10
(AC) = √10 = 3.03 cm
30 PTS: Please help me
You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation? Define the domain and range of this function and describe reasonable values for each.
The function that will define the situation is y = 10x
The domain: {0, ∞)
The range: {0, ∞)
How to write the functionThe function that will define the situation is a linear function of the form
y = mx + c
definition of variable to suit the problem
y = output variable
m = slope
x = input variable
c = y intercept
The equation as described in the problem is represented using linear function as as follows
c = there is no condition defined here hence = 0
m = cost of per hour = $2.50
x = time in hours
y = amount paid in hours
y = 10x
The domain in this case is time from 0 to infinity {0, ∞)
The range is also {0, ∞)
there are no limitations to hep set the range and domain
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A utility pole is 5 ft high. A 8 ft cable is stretched from the top of the pole to a stake in the ground. How far is the stake from the pole?
The distance between the stake from the pole is 6.25 ft.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that a utility pole is 5 ft high. An 8 ft cable is stretched from the top of the pole to a stake in the ground.
The distance will be calculated as,
B² = H² - P²
B = √(8² - 6²)
B = √ ( 64 - 36 )
B = √39
B = 6.25 ft
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A company i expanding it building area from 18,000 quare feet to 25,380 quare feet. What i the percentage increae of the area of the building pace?
41% is the percentage increase of the area of the building pace.
What is percentage?When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.
Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.
A company is expanding it building area from 18,000 square feet to 25,380 square feet.
= (25,380 - 18,000)
= 7,380
Now,
= 7,380 / 18,000
= 0.41
the percentage increase of the area of the building pace: 0.41 / 100 = 41%
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Find the equation of the line. Write the answer in standard form.
Answer:
1.Given points are:-
(1,2)=(x1/,y1)
(3,4)=(x2,y2)
Now,from two point formula,
y-y1=(y2-y1)/(X2-X1)×(X-X1)
or,y-2=(4-2)/(3-1)×(X-1)
or,y-2=2/2×(X-1)
or,y-2=1(X-1)
or,y-2=X-1
or, X -1-y+2=0
or,X-y+1=0 is the req. eqn in standard form
2.Given points are:-
(2,5)=(x1, y1)
(3,7)=(x2,y2)
Now, from two point formula,
y-5=(7-5)/(3-2)×(X-2)
or,y-5=2/1×(X-2)
or,y-5=2(X-2)
or,y-5=2X-4
or,2X-y-4+5=0
or,2x-y+1=0 is the req. eqn in standard form.
c.do similarly
and*mark me brainliest
Answer:
see explanation
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
First obtain the equations in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
(1)
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (3, 4 )
m = [tex]\frac{4-2}{3-1}[/tex] = [tex]\frac{2}{2}[/tex] = 1 , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (3, 4 ) , then
4 = 3 + c ⇒ c = 4 - 3 = 1
y = x + 1 ( subtract y from both sides )
0 = x - y + 1 ( subtract 1 from both sides
- 1 = x - y , that is
x - y = - 1 ← in standard form
Use the same procedure for the next 2 questions
(2)
(x₁, y₁ ) = (2, 5 ) and (x₂, y₂ ) = (3, 7 )
m = [tex]\frac{7-5}{3-2}[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then
y = 2x + c ← is the partial equation
using the point (2, 5 ) to find c
5 = 2(2) + c = 4 + c ( subtract 4 from both sides )
1 = c
y = 2x + 1 ( subtract y from both sides )
0 = 2x - y + 1 ( subtract 1 from both sides )
- 1 = 2x - y , that is
2x - y = - 1 ← in standard form
(3)
(x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (3, 12 )
m = [tex]\frac{12-2}{3-5}[/tex] = [tex]\frac{10}{-2}[/tex] = - 5 , then
y = - 5x + c
using the point (5, 2 ) to find c
2 = - 5(5) + c = - 25 + c ( add 25 to both sides )
27 = c
y = - 5x + 27 ( add 5x to both sides )
5x + y = 27 ← in standard form
How many real solutions of 2x 3y 5 are possible?
The equation 2x + 3y = 5 has one real solution.
To find it, you can solve the equation for one of the variables (either x or y) and then substitute the result into the equation to find the other variable.
For example, you can solve for y to get y = (5 - 2x)/3, and then substitute this into the equation to get 2x + 3((5 - 2x)/3) = 5, which you can then solve for x. Doing this will give you x = 5/4, which means that the solution is (5/4, 5/3).
Linear equations are equations that involve two variables and can be expressed in the form ax + by = c, where a and b are constants and x and y are the variables. These equations have one real solution, which can be found by solving for one of the variables and then substituting the result into the equation to find the other variable. Once both variables are known, the solution to the equation is the point (x,y) that satisfies both equations.
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Using a number line, find both the intersection and the union of the following
intervals:
(-∞,2) and [0,∞)
The union of the intervals is (-∞,∞)
The intersection of the intervals is [0,2)
Hope this helped!
Let u = PQ be the directed line segment from P(0,0) to Q(9,12), and let c be a scalar such that c < 0. Which statement best describes cu?
A) the terminal point of vector cu lies in quadrant II
B) the terminal point of vector cu lies in quadrant III
C) the terminal point of vector cu lies in quadrant I
D) the terminal point of vector cu lies in quadrant IV
The terminal point of vector cu lies in quadrant III.
Option B is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
p = (0, 0) and Q = (9, 12)
u = PQ = (9 - 0, 12 - 0) = (9 , 12)
Now,
cu = (9c, 12c)
where c < 0
If c = -1
cu = (-9, -12)
The coordinates (-x, -y) lie in quadrant III.
(-9, -12) is in quadrant III.
Thus,
Vector cu lies in quadrant III.
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After 2+3/2-x+1/3x have been combined using the least common denominator of 6x, what is the numerator?
On solving the provided question, we can say that In light of this, the lowest common denominator of the equation is (x - 4)(x + 1)(x - 2) (x - 2)
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
equation is given as:
x2 — 3x — 4 = x2 — Ox + 8
x2 — 4x + x — 4 =
x(x — 4) + I(x — 4)
Factor out x - 4
(x + I)(x — 4) = x-2(x-4)
The common factor between the two sides of the equation is x – 4.
In light of this, the lowest common denominator is (x - 4)
(x + 1)(x - 2) (x - 2)
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I don't understand help
Volume of the triangle is 1420m³ given in the question.
What is Volume?There are various volumes for various geometric shapes. Cubes, cuboids, spheres, cylinders, cones, etc. are examples of common 3D shapes that we encounter on a daily basis.
Finding the volume is simple when dealing with shapes with a flat surface, like a cube or a cuboid. Cones, cylinders, and spheres are examples of curved shapes, and it is necessary to take into account both their curved surfaces' dimensions and their overall curvature. Possibly their diameters or radii
The term "irregular solids" refers to solids that lack precise measurements or shapes. A fixed formula that can be used to calculate the volumes of such solids is typically absent. It is possible to obtain these volumes in a variety of ways, one of which is the liquid displacement method, which is based on the Archimedes Principle.
Now volume triangle = area × height
⇒ 1/2 × 20 × 14.2 × 10
= 1420m³
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Analyze the function graph.
Select the best option to describe the function graph.
Linear Increasing
Linear Decreasing
Linear Constant
Nonlinear Increasing
Nonlinear Decreasing
The function graph is Linear Constant. Option C
What is the graph?We know that when we plot a graph, there would be the vertical and the horizontal axis. We can be able to deduce the nature of the graph when we look at how the graph is going.
In this case, we can see that the graph is flat. The flatness of the graph would show us that there is neither an increase nor a decrease in the function that we have in view. The increase or the decrease can be seen from the direction of the line that is drawn across the graph.
Hence, the fact that the line is flat on the graph shows that it is linear constant.
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You bought the meat for Saturday’s cookout a package of hotdogs cost 160 and a package of hamburgers cost five dollars you brought a total of eight packages of me and you spent $23. How many packages of hamburger meat did you buy?
The total number of hamburger meat he bought is 3.
Find the number of hamburger meat bought?Package of hot dogs cost $1.60 and package of hamburgers cost $5.
You bought total of 8 packages of a meat and you spent $23.
Therefore we have,
let
x = total number of package of hot dogs.
y = total number of package of hamburger.
Hence,
x + y = 8
1.60x + 5y = 23
multiply equation(i) by 5
5x + 5y = 40
1.60x + 5y = 23
Subtract equation(ii) from equation(i) we get
3.4x = 17
x = 17 / 3.4
x = 5
y = 8 - 5
y = 3
Therefore, total number of hamburger meat he bought is 3.
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How do you find the terminal point of a line segment?
To find the terminal point of a line segment, identify the starting point, measure the length and direction, and use these parameters to calculate the coordinates of the terminal point.
To find the terminal point of a line segment, first identify the starting point of the line. Then, measure the length of the line segment and the direction in which it is going. Finally, use a combination of the starting point coordinates, the length, and the direction to calculate the coordinates for the terminal point of the line.
1. Identify the starting point of the line.
2. Measure the length of the line segment and the direction in which it is going.
3. Use the starting point coordinates, the length, and the direction to calculate the coordinates of the terminal point.
4. The coordinates of the terminal point are the location of the line segment’s endpoint.
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When a space shuttle returns from a mission, the last part of its descent to the ground
must be between 17 degrees and 19 degrees with the horizontal (ZZ). If the pilot of
space shuttle Pioneer plans to descend from 11,700 feet (UH) at an angle of 18
degrees (ZZ) from the runway, determine the horizontal distance from the landing site
(ZU) at which the pilot must begin the descent.
Use the diagram to determine the measure of the sought side.
Answer:
please see the followings,
11700 ÷ tan 18 = ZU
Sport
Soccer
Jogging
Walking
Skiing
Football
Total
Hrs
5
20
10
5
10
50
Calculate the
portion for jogging
in degrees
[?]
20 hrs.
Total Sport Hours
The portion for walking in degrees when Soccer take 5 hours, Jogging take 20 hours, Walking take 10 hours, Skiing take 5 hours and Football take 10 hours of the total 50 hours of sport hours is 72 degrees.
Therefore the answer is 72°.
To calculate the portion of walking in degrees, we first need to find the total amount of time spent walking. In this case, it is 10 hours.
Next, we need to find the total amount of time spent on all sports, which is 50 hours.
Now we can calculate the portion of walking by taking the amount of time spent walking (10 hours) and dividing it by the total amount of time spent on sports (50 hours).
This gives us the fraction of time spent walking which is
10/50
= 1/5
Finally, we can convert this fraction to degrees by multiplying it by 360 (the number of degrees in a full circle).
So the portion of walking in degrees is
(1/5) × 360
= 72 degrees
--The question is incomplete, complete question is given below--
"Calculate the portion for walking in degrees when Soccer take 5 hours, Jogging take 20 hours, Walking take 10 hours, Skiing take 5 hours and Football take 10 hours of the total 50 hours of sport hours."
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I need help with this question. :Probability and Statistics thanks
The number of possible combinations of 4 digit codes would be 72.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, I am creating a 4 digit code with the numbers 1 to 10.
Now, From 1 to 10 there are (10 - 1 + 1 ) = 10 and we are taking 4 numbers at a time.
Therefore the number of combinations of 4 digit codes would be,
[tex]^9C_4\times2![/tex]. As the number consists of two digits.
= [9!/(9 -2)!×2!]×2!.
= 9!/7!.
= 72 possible ways.
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having trouble with this, can anyone help?
(equation needs to be put in y=mx+b form)
Check the picture below.
In δfgh, g = 64 cm, ∠f=131° and ∠g=47°. find the length of f, to the nearest centimeter.
The length of f = 66 centimeters
What is the sine rule for triangle?It is a law that express a relationship between side length of triangle and their opposite angles.
If ABC is triangle, then sine rule can be expressed as
BC/ sin A = AB /sin C = AC /sin B
How can we determine the length of f of the above triangle?Given, a triangle fgh where angle ∠ f = 131° and ∠g = 47°
also, side length, g = 64 cm
the remaining angle ∠ h = 180° - (131°+47°)
∠h = 2°
this is because angle sum of three angle for a triangle is 180 degrees.
what is the length of f?
we know that Δf g h has three side f g, g h and f h.
we denote the side f g = h, side g h = f and side f h = g
according to the sine rule for a triangle
h/ sin h = f /sin f = g /sin g
f/ sin f = g/ sin g
f / sin 131° = 64 / sin 47°
f = (64 × sin 131°) / sin 47°
f = 66 cm
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In right triangle ABC,b is the right angle and m2C -30°, If AC - 10, what is AB?
The value of AB after solving the triangle is 10√3.
Since angle C is the right angle in triangle ABC, we know that angle A = 90 - m2C = 90 - 30 = 60. And since triangle ABC is a right triangle, we can use the Pythagorean Theorem to find the length of the hypotenuse, AB.
The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. So in this case,
AB^2 = AC^2 + BC^2 = 10^2 + BC^2 = 100 + BC^2.We know that angle A is 60, so we can use the trigonometric function sine to find the value of BC/AB. We know that
sin(A) = BC/AB. So BC/AB = sin(60) = √3/2.We can then square both sides of this equation to get
(BC/AB)^2 = (√3/2)^2 = 3/4.Since we know that BC/AB = 3/4, we can substitute this value into the equation
AB^2 = 100 + BC^2 to get
AB^2 = 100 + (BC^2) = 100 + (3/4)AB^2.
Solving this equation for AB, we get AB = 10√3
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Does 12 20 and 16 form a Pythagorean triple?
No, 12, 20, and 16 do not form a Pythagorean triple. A Pythagorean triple is a set of three whole numbers, a, b, and c, such that a^2 + b^2 = c^2.
To determine if 12, 20, and 16 form a Pythagorean triple, we can substitute each number into the equation and solve for c.
Start by substituting 12 for a, 20 for b, and 16 for c:
12^2 + 20^2 = 16^2
144 + 400 = 256
544 ≠ 256
Since 544 does not equal 256, the numbers do not form a Pythagorean triple. We can also verify this by calculating the square of c to see if it is equal to the sum of the squares of a and b.
Start by substituting 12 for a, 20 for b, and 16 for c:
a^2 + b^2 = c^2
12^2 + 20^2 = c^2
144 + 400 = c^2
544 = c^2
Taking the square root of both sides:
√544 = √c^2
23.2 ≠ c
Since 23.2 does not equal c, the numbers do not form a Pythagorean triple.
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What is the answer to 2/3x=-36
the answer to your question is 36
What is the solution to the system of linear equations 3x 2y equals 14 5x y equals 32?
The solution to the system of linear equations 3x + 2y = 14 and 5x + y = 32 is (x, y) = (6, 10).
3x + 2y = 14
5x + y = 32
Subtracting 3x from both sides of the first equation:
2y = 14 - 3x
Substituting this into the second equation:
5x + (14 - 3x) = 32
Simplifying:
8x = 18
x = 18/8
x = 2.25
This x value is substituted into the first equation.:
2y = 14 - 3(2.25)
2y = 14 - 6.75y
= 7.25
The solution is (x, y) = (2.25, 7.25)
The solution to the system of linear equations 3x + 2y = 14 and 5x + y = 32 is (x, y) = (2.25, 7.25). To solve the system, we first subtracted 3x from both sides of the first equation and then substituted this into the second equation. After simplifying, we obtained a value of x, which we then substituted into the first equation to obtain a value of y. This gave us the solution (x, y) = (2.25, 7.25).
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