Answers
Here,
R = 7y-4
S = 2y+6
T = ?
now,
R-S=T
7y-4+2y+6
7y+2y-4+6
9y+2
again,
R+T
7y-4+9y+2
15y-2
Therefore,
RT = 15y-2
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a)The segment bisector of RT will be 4.5y+1.
b)The value of RT will be 9y+2.
What is a segment bisector?A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center. A line segment bisector divides a line segment into two equally sized pieces. It goes through the segments halfway. Line PQ in the image below serves as AB's bisector.
It is given that,
RS = 7y-4
ST = 2y+6
Lines or portions of lines that cut across the middle are known as segment bisectors. We designate the segments with segment marks when two segments are congruent. According to the midpoint formula, the midpoint for the endpoints (x₁,y₁) and (x₂,y₂) is ((x₁+x₂)/2,(y₁+y₂)/2).
We have to find the segment bisector of the RT.
RT = RS + ST
RT = 7y-4 + 2y+6
RT =9y+2
Thus, the value of RT will be 9y+2 and the segment bisector of RT will be 4.5y+1.
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Related Questions
3/7 to its decimal form and rounded to the nearest thousandth
Answers
Answer:
Decimal form: 0.4286
Step-by-step explanation:
The value of 3/7 in decimal form up to nearest thousands will be 0.4285.
A fraction 3/7 is given in the question.
We have to find it's decimal form and round-off it to nearest thousands.
What will be the value of 1/2 in decimal form rounded to units place ?
The value will be 0.5
To find the decimal form let's divide 3 by 7.
3 ÷ 7 = 0.428572
We have to round it to nearest thousands i.e., up to 4 places Right to decimal point.
The rounded value will be 0.4285.
thus , the decimal form of 3/7 will be 0.4285 rounded off to nearest thousands.
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A ball is thrown upward at an angle of 30° to the horizontal and lands on the top edge of a building that is 20 m away. The top edge is 5.0 m above the throwing point. How fast was the ball thrown? Use: sin30°=0.5 and cos30°=0.9
a. 20 m/s
b. 11 m/s
c. 52.3 m/s
d. 16 m/s
Answers
Answer:
The correct option is;
a. 20 m/s
Step-by-step explanation:
The given parameters are;
The angle at which the ball is thrown, θ = 30° to the horizontal
The horizontal distance of the top edge of the building where the ball lands from where the ball is thrown, x = 20 m
The height of the top edge of the building above the throwing point = 5 meters
Let "v" represent the speed with which the ball is thrown
We have;
The vertical component of the speed with which the ball is thrown, [tex]v_y[/tex] = v × sin(θ) = v × sin(30°) = v × 0.5 = 0.5·v
[tex]v_y[/tex] = 0.5·v
The horizontal component of the speed with which the ball is thrown, vₓ = v × cos(θ) = v × cos(30°) = v × 0.9 = 0.9·v
vₓ = 0.9·v
The kinematic equation of the motion is y = [tex]v_y[/tex]·t - (1/2)·g·t², where;
y = The vertical height reached = 5 metes
t = The time taken to reach the specified 5 m, height
g = The acceleration due to gravity = 9.8 m/s², we have;
Therefore, we have;
5 = 0.5·v·t - (1/2)·9.8·t²...(1)
Also, from the horizontal motion of the ball, we have the following kinematic equation of motion;
x = vₓ × t
Therefore, by substituting the known values, we have;
20 = 0.9·v × t
∴ v = 20/(0.9·t) = 200/(9·t)...(2)
Substituting the value of t in equation (1) gives;
5 = 0.5·v·t - (1/2)·9.8·t² = 0.5·(200/(9·t))·t - (1/2)·9.8·t²
∴ 5 = 0.5·(200/(9·t))·t - (1/2)·9.8·t² = 100/9 - 4.9·t²
4.9·t² = 100/9 - 5 = 55/9
t = √(55/(9 × 4.9)) ≈ 1.116766
The time taken to reach the specified 5 m height = t ≈ 1.116766 seconds
From equation (2), we have, v = 200/(9·t) = 200/(9 × 1.116766) ≈ 19.8987 m/s
The speed with which the ball is thrown = v ≈ 19.8987 m/s ≈ 20 m/s. to the nearest whole number.
The speed with which the ball is thrown is approximately 20 m/s
Answer:
The answer is:
a) 20 m/s
Hope it helps:D
A classroom is 11 m long, 8 m wide and 5.5 m high Find the sum of the areas of the four walls.
( please show the working out pleaseee)
Answers
Answer:
209 m²
Step-by-step explanation:
The class room has a measurement of 11 m long, 8 m wide and 5.5 m high. Hence the walls of the classroom would be 4, with the following measurements.
Wall 1: 11 m by 5.5 m, Wall 2: 8 m by 5.5 m, Wall 3: 11 m by 5.5 m and Wall 4: 8 m by 5.5 m
The area of wall 1 = 11 m * 5.5 m = 60.5 m²
The area of wall 2 = 8 m * 5.5 m = 44 m²
The area of wall 3 = 11 m * 5.5 m = 60.5 m²
The area of wall 4 = 11 m * 5.5 m = 44 m²
The sum of areas of the fall wall = area of wall 1 + area of wall 2 + area of wall 3 + area of wall 4
The sum of areas of the fall wall = 60.5 + 44 + 60.5 + 44 = 209 m²
Explain how to create an equation with infinity many solutions.
Answers
Example: 2(x+3) = 2x + 6
you need both sides of the equation to be equal to each other.
ex: 1 = 1
x = x
10 - x = -x + 10
this may not be what you're looking for and if it isn't just let me know
A line is perpendicular to y = 3x - 8
and intersects the point (2,2).
What is the equation of this
perpendicular line?
Answers
Since the line is perpendicular, we know that the slope is reciprocal and negative to the other one.
So,
y = -4x + b
We want to find the y-intersect (b) so substitute the intersected points and solve for it.
2 = -4(2) + b
2 = -8 + b
2 + 8 = b
10 = b
So the complete equation would be:
y = -4x + 10
1) Graph the quadratic function given in standard form and identify the key features. Include at least 5 points on your
graph.
y=-x²-2x +1
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
Just question one plz help ASAP
Answers
Answer:
14
Step-by-step explanation:
think of an event that might occur at three different speeds and describe it.
Answers
Answer:
tornado!
Step-by-step explanation:
sometimes tornados can start off slow and sometimes they can go really fast.
What is the expression shown
Answers
Answer:
There is nothing but your question and you should try on your own
Step-by-step explanation:
Answer:
N/A
Step-by-step explanation:
There is not context with this problem, therefore it cannot be solved.
PLEASE HELP
f(x) = x2. What is g(x)?
Answers
Answer: Choice C. g(x) = (3x)^2
To confirm this, plug in x = 1 and you'll find that:
g(x) = (3x)^2
g(1) = (3*1)^2
g(1) = (3)^2
g(1) = 3*3
g(1) = 9
Showing that (1,9) is on the red g(x) curve.
Explain it too and is it x method?
Answers
So Iam not sure either what the correct answer is but that’s what I got
What is 5 billion times 0
Answers
Answer:
0
Step-by-step explanation:
Anything multiplied by 0 is 0
|-4/5-1/10| + |-3/4+5/2|
A.) 9/10
B.) 53/20
C.) 7/4
D.) 17/10
Answers
Answer:
B.) 53/20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
|Absolute Value| makes any negative number positiveStep-by-step explanation:
Step 1: Define
|-4/5 - 1/10| + |-3/4 + 5/2|
Step 2: Evaluate
Subtract: |-9/10| + |-3/4 + 5/2|Add: |-9/10| + |7/4|Absolute Value: 9/10 + 7/4Add: 53/20BC = 17.89
DC = 16
with reference to the figure sin x=?
a.0.250
b. 0.447
c.0.894
d. 1
Answers
Answer:
c
Step-by-step explanation:
The value of sin x in the given right triangle is 0.894.
What sine of an angle?The sine of an angle is a trigonometric function that is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
Given is right triangle ABC, we need to find the value of sin x,
So, we see that the figure is divided into three similar triangles,
Namely,
Δ CDB ~ Δ BDA ~ Δ CBA,
Therefore, according to the definition of similarity,
We have,
CD / CB = BD / BA = 16/17.89
Therefore, BD / BA = 0.894
Also,
sin x = BD / BA
Therefore,
sin x = 0.894
Hence the value of sin x in the given right triangle is 0.894.
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20)
The perimeter of a triangle is given by the formula P= a + b + c Solved for b, this formula becomes b =
A
P+ a + c
B)
Р-а - с
P-a-c
р- а - с
Answers
Answer:
sin B sin C. When this equation is combined with the previous equation, we obtain the Law of. Sines. ... ас. B. FIGURE 4.5 Solving an. ASA triangle. Keep in mind that we must be given one of the three ratios to apply the ...
Work out the Value of the missing fraction 1/7+ ?=1/3
Answers
Step-by-step explanation:
1/7 + ? = 1/3
? = 1/3 - 1/7 = 7/21 - 3/21 = 4/21.
The missing fraction is 4/21.
(77) – 32
a. - 2
b. 16
C. 52
d. - 16
Answers
Answer:
b. 16 not sure its correct just trying to help out. :)
Step-by-step explanation:
PLEASE HELPP
What is the solution to the following system of equations?
x − 3y = 6
2x + 2y = 4
(-1, 3)
(3, -1)
(1, -3)
(-3, 1)
Answers
Answer:
The solution to the system of equations be:
[tex]x=3,\:y=-1[/tex]
Hece, option B is correct.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}x-3y=6\\ 2x+2y=4\end{bmatrix}[/tex]
Multiply x − 3y = 6 by 2: 2x-6y=12
[tex]\begin{bmatrix}2x-6y=12\\ 2x+2y=4\end{bmatrix}[/tex]
so
[tex]2x+2y=4[/tex]
[tex]-[/tex]
[tex]\underline{2x-6y=12}[/tex]
[tex]8y=-8[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x-6y=12\\ 8y=-8\end{bmatrix}[/tex]
Solve 8y = -8 for y
[tex]8y=-8[/tex]
Divide both sides by 8
[tex]\frac{8y}{8}=\frac{-8}{8}[/tex]
[tex]y=-1[/tex]
[tex]\mathrm{For\:}2x-6y=12\mathrm{\:plug\:in\:}y=-1[/tex]
[tex]2x-6\left(-1\right)=12[/tex]
[tex]2x+6=12[/tex]
subtract 6 from both sides
[tex]2x+6-6=12-6[/tex]
[tex]2x=6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
Therefore, the solution to the system of equations be:
[tex]x=3,\:y=-1[/tex]
Hence, option B is correct.
⚽ From Equation (i) we get :
x = 6 + 3y......[Equation (iii)]⚽ Now, Substitute the equation (iii) in equation (ii) we get :
→ 2(6 + 3y) + 2y = 4
→ 12 + 6y + 2y = 4
→ 8y = 4 - 12
→ 8y = -8
→ y = -8 ÷ 8
→ y = -1
⚽ Now Substituting value of y = -1 in equation (iii) we get :
→ x = 6 + 3y
→ x = 6 + 3(-1)
→ x = 6 + (-3)
→ x = 6 - 3
→ x = 3
Hence,the value of x = 3 and value of y = -1.Kira is on her way home in her car. Her drive is 30 miles long. She has finished one-third of the drive so far. How far has she driven?
Answers
Answer:
10 miles
Step-by-step explanation:
1/3 × 30 miles = 10 miles
Answer:
Step-by-step explanation:
30 * 1/3 = 10 :)
What is an equation of the line that passes through the points (1, 2) and (2, -1)?
Put your answer in fully reduced form.
Answers
Answer:
y = -x + 3
Step-by-step explanation:
The equation of a straight line is generally written as;
y = mx + b
where m is the slope and b is the intercept
To get the slope we use the slope formula
Mathematically, that is;
m = (y2-y1)/(x2-x1) = (-1-2)/2-1 = -3/1 = -1
To get the intercept we equate any of the points to the partial equation that we have;
From;
y = -x + b
2 = -1 + b
b = 1 + 2 = 3
So the equation is;
y = -x + 3
Here are two rectangles.
Complete this sentence:
The two rectangles are similar and the scale factor is __
Answers
Answer:
It is
Scale Factor = Ratio of Side Lengths
= 12/8 = 9/6 = 1.5.
Step-by-step explanation:
Hope this helped have an amazing day!
The two rectangles are similar and the scale factor is 3/2.
Given data:
The first rectangle is represented as ABCD
The second rectangle is represented as PQRS
Now, the dimensions of ABCD is 8 cm x 6 cm
The dimensions of PQRS is 12 cm x 9 cm
So, the scale factor is represented as k and the value of k is :
k = length of PQRS / length of ABCD
So, k = 12 / 8
k = 3/2
Hence , the similar rectangles have a scale factor of 3/2
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Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.
Answers
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
help!!
Find the solution of the system of equations
shown on the graph.
Answers
Answer:
(0,6)
Step-by-step explanation:
When a system of equations is graphed, the point at which the lines intersect is a solution to the system. Looking at the graph, we can see that the lines intersect at (0,6). Therefore, (0,6) is a solution to the system of equations.
TRAVEL It is about 350 miles from Ruidoso, New Mexico, to Abilene, Texas. Haruko has already driven 75 miles and made it to Roswell, New Mexico. She hopes to finish the rest of her trip, including stops, in 5 hours. Write an equation to find the average speed Haruko needs to drive to finish the rest of her trip in 5 hours.
Answers
Answer:
55 mph
Step-by-step explanation:
Given that:
Total miles of journey = 350 miles
Miles already driven = 75 miles
To cover the rest of the journey in 5 hours, the average speed of travel. Will be:
Recall:
Speed = (Distance left to cover ÷ budgeted travel time)
Distance left to cover : (total miles - distance already driven)
Average speed required = (350 - 75) / 5
= 275 / 5
= 55 mph
Express 0.000000000936 in
scientific notation.
9.36x10
Enter
Answers
Answer:
9.36 x 10^(-10)
Step-by-step explanation:
the diagram shows two parallel lines cut by a transversal. If the measure of < 3 = ( 7y + 15) and the measure of < 5 = ( 110 - 2y) , what is the measure of <4
Answers
Step-by-step explanation:
Angle 3 + Angle 5 = 180° (C-angles)
Therefore 7y + 15 + 110 - 2y = 180, 5y = 55, y = 11.
Angle 4 = Angle 5 (Z-angles)
Hence Angle 4 = 110 - 2y = 110 - 2(11) = 88°.
Help me on this math problem please! I’ve been stuck on it for 15 mins now
Answers
Answer:
Step-by-step explanation:
P = perimeter = 114
P =2 * length +2* width
P = 2(2x - 3) + 2(x)
114 = 4x-6 + 2x
114 = 6x -6
19 = x -1
20 = x
check it
2( 2x -3)+2x = ?
4x -6 +2x=?
6x -6 = ?
6(20)-6 =?
120-6 = 114
yep this is correct
Solve.
y= 2x - 6
4x – 2y = 14
Use the substitution method.
Answers
Answer:
y=2x-6. ---------(1)
4x-2y=14. --------(2)
substituting equation 2 in 1
4x-2(2x-6)=14
4x-4x+12=14
so it has no solution
Step-by-step explanation:
As you can see in the image below, the answer is no solution.
How many solutions exist for the given equation?
1/2(x+12) = 4x - 1
Zero
One
Two
Infinitely many
Answers
Answer:
1
Step-by-step explanation:
Answer:
One
Step-by-step explanation:
[tex] \frac{1}{2} (x +12) = 4x - 1 \\ \\ \frac{1}{2} x + \frac{1}{2} \times 12 = 4x - 1 \\ \\ \frac{1}{2} x + 6 = 4x - 1 \\ \\ 6 + 1 = 4x - \frac{1}{2} x \\ \\ 7 = \frac{8x - x}{2} \\ \\ 7 = \frac{7}{2} x \\ \\ 7 \times 2 = 7x \\ \\ x = \frac{7 \times 2}{7} \\ \\ x = 2[/tex]
So, there exist only one solution for the given equation.
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails and each large box has 450 nails. The contractor bought twice as many large boxes as small boxes, which altogether had 4200 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answers
Step-by-step explanation:
Let s represent the number of small boxes and l represent the number of large boxes.
We have 2s = l and 150s + 450l = 4200.
Therefore 150s + 450(2s) = 4200,
150s + 900s = 4200, 1050s = 4200, s = 4.
l = 2s = 2(4) = 8.
Hence there are 4 small boxes and 8 large boxes.
Have no idea how to do this lok
Answers
Answer:
that hard
Step-by-step explanation: