The equation of the perpendicular line will be x + y - 5 = 0. Then the correct option is B.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line passing through (-5, 6) and (-6, 5) will be given as,
(y - 6) = [(5 - 6) / (- 6 + 5)](x + 5)
y - 6 = (x + 5)
y = x + 1
The equation of the line that is perpendicular to the above line is given as,
y = - x + c
The equation of the line is passing through (3, 2)
3 = - 2 + c
c = 5
Then the equation of the perpendicular line will be given as,
y = -x + 5
x + y - 5 = 0
The equation of the perpendicular line will be x + y - 5 = 0. Then the correct option is B.
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The complete question is given below.
Use the dropdown to complete the following inequality. PLEASE HELP!!!
Answer:
a-b is greater than
Step-by-step explanation:
Find x.
Round to the nearest tenth.
7cm
7cm
10 cm
x = [? ]cm
Answer:
x = 4.9
Step-by-step explanation:
We can use the intersecting chords formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
7*7 = 10x
49 = 10x
Divide each side by 10
49/10=10x/10
4.9 = x
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Describe the error in graphing f(x) for the function, then graph it correctly.
(rough graph only)!
f(x) = (x – 4)(x + 1)?
Step-by-step explanation:
sorry tried but dont know
Find the slope of the line passing through the points (3, 4) and (8, -3).
Answer: -7/5
Step-by-step explanation:
Please help . Determine the type of triangle that is drawn below.
3a+2b
Help me please
I can’t do it
Answer:
Question is not clear
Step-by-step explanation:
Latisha plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, w, it will take Latisha before she can purchase her school pictures?
The number of weeks w is given by the equation w = 6 weeks
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.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of weeks be represented as w
The prints cost $108 plus any add-ons she wants to purchase
The amount saved by Latisha per week = $ 18
So , the total amount saved by Latisha for w weeks = 18w
Now , the equation will be
18w = 108 be equation (1)
On simplifying the equation , we get
Divide both sides of the equation by 18 , we get
w = 108 / 18
w = 6 weeks
Therefore , the value of w is 6
Hence , the number of weeks is 6 weeks
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The difference between a number and ten is thirteen. What is the number?
Answer:
The number is 23
Step-by-step explanation:
23-10=13
Please help me I’ll mark you brainly
On solving the provided question, we can say that - here in graph we have on solving equation [tex]2x^2+ 9y^2 \\[/tex] = [tex]8 + 9 = 17[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
from graph, x= 2
y = 1
[tex]2x^2+ 9y^2 \\[/tex]
[tex]8 + 9 = 17[/tex]
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Helpp!! Solve the system by graphing.
The solution of the system of equations:
y = 3x - 4
y = (-1/2)*x + 3
Is (2, 2).
How to solve a system of equations graphically?Here we have the following system of equations:
y = 3x - 4
y = (-1/2)*x + 3
To solve this graphically, we just need to graph both equations on the same coordinate axis, and find a point where these two graphs intercept.
Below you can see the graph of the system, and there you can see that the lines intercept at the point (2, 2), so that is the solution of the system.
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what is the unit rate for meters per second if a car travels 424 meters in 8 seconds
The unit rate for meters per second if a car travels 424 meters in 8 seconds is 53 meters per second.
How to find the unit rate?The unit rate meters per second can be determine using this formula
Unit rate meters per second = Number of meters / Numbers of seconds
Where:
Number of meters = 424 meters
Numbers of seconds = 8 seconds
Let plug in the formula
Unit rate meters per second = 424 meters / 8 seconds
Unit rate meters per second = 53 meters per second
Therefore we can conclude that the Unit rate meters per second is 53 meters per seconds.
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is -0.3 with the line over the 3, a rational, irrational number or integer?
Answer:
rational because the line over the three means the three repeats
decimal values that terminate or repeat are rational
Step-by-step explanation:
How many rectangular faces are in a right triangular prism?
Answer: A right triangular prism is a 3-dimensional geometric shape that has a triangular base and three rectangular faces that connect the base to the top. A rectangular prism has three pairs of rectangular faces that are congruent, these faces are perpendicular to each other and connected by edges.
So, in a right triangular prism there are 3 rectangular faces which are the lateral faces (the one that connects the base and the top)
A triangular prism also has 3 triangular faces which are the base faces
So in total, a right triangular prism has 3 rectangular faces and 3 triangular faces.
Step-by-step explanation:
A movie studio keeps 240 dresses in its wardrobe for historical films. Three-fifths of them can be used for movies that take place in the 1700s and 15% of them can be used for movies in the civil war era. A. What percent of the dresses are for films set in the 1700s? B. What percent of the dresses are for films not set in the 1700s? Explain how you found your answer. C. What percent of the dresses are for films set in the 1700s or during the civil war era? Explain how you found your answer. D. What percent of the dresses are not for films set during the civil war era? Explain how you found your answer.
A) The dresses for films set in the 1700s would be 60%.
B) The percentage of dresses that are not for films set in the 1700s is 40%.
C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.
D) The percentage of dresses that are not for films set during the civil war era is 85%.
What is a percentage?
The percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%". It is used to express a proportion of a number out of 100. It is useful in many applications such as finance, statistics, and other fields.
A. Three-fifths of the dresses can be used for movies that take place in the 1700s, which is 3/5 * 100 = 60%.
B. The percent of the dresses that are not for films set in the 1700s is 100% - 60% = 40%. This is found by subtracting the percentage of dresses that are used for 1700s movies from 100%.
C. The percent of the dresses that can be used for films set in the 1700s or during the civil war era is 60% + 15% = 75%. This is found by adding the percentage of dresses that can be used for 1700s movies and the percentage of dresses that can be used for civil war era movies.
D. The percent of the dresses that are not for films set during the civil war era is 100% - 15% = 85%. This is found by subtracting the percentage of dresses that are used for civil war era movies from 100%.
Hence,
A) The dresses for films set in the 1700s would be 60%.
B) The percentage of dresses that are not for films set in the 1700s is 40%.
C) The percentage of dresses that can be used for films set in the 1700s or during the civil war era is 75%.
D) The percentage of dresses that are not for films set during the civil war era is 85%.
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PLEASE HELP 30 POINTS
Cual es la amplitud de estos conjuntos de datos 12,16,48,64,36,48,12,32,y 48
Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
Answer:
10. Yes
11. No
12. Yes
13. Yes
14. No
15. No
Step-by-step explanation:
Use the vertical line test to determine whether or not a relation is a function. The vertical line test is when you draw a line through a relation and if that line intersects the relation more than ONCE, the relation is not a function.
10. Is a function, the vertical line only intersects the relation once.
11. Isn't a function, intersects the relation more than once.
12. Is a function, intersects the relation only once.
13. Is a function, only intersects the relation once.
14. Isn't the function, intersects the relation more than once.
15. Isn't a function, the relation intersects the function more than once.
Hope this helps.
S+S+S+S AND 4S I don't know it could someone help me who knows it is it equivalent or not equivalent
Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.
Are the given expressions equivalent expressions?It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.
Since the given expressions are; S + S + S + S and 4S.
S + S + S + S can be written by factorisation as;
S ( 1 + 1 + 1 + 1 ) = S (4)
= 4S.
On this note, it can be inferred that the two expressions given are equivalent expressions.
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Pacquiao has inherited P6,000 from the death of his Grandma . He would like to use this money to buy his mom Dionisia a new bicycle costing P7,000 2 years from now. Will Pacquiao have enough money to buy the gift if he deposits his money in an account paying 8 percent compounded semi-annually?
Pacquiao will have enough money (a future value of up to P7,000) to buy the gift if he deposits his money (P6,000) in an account paying 8 percent compounded semi-annually.
What is the future value?The future value is the compounded present value at an interest rate.
The future value can be determined using an online finance calculator, FV table, or FV formula.
N (# of periods) = 4 (2 years x 2)
I/Y (Interest per year) = 8%
PV (Present Value) = P6,000
PMT (Periodic Payment) = P0
Results:
Future Value (FV) = P7,019.15
Total Interest = P1,019.15
Thus, in 2 years' time, Pacquiao will have P7,019 enough to buy his mom a new bicycle.
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Two triangular faces of a rectangular pyramid each have an area of 7.8cm^2 and the other two faces each have an area of 16.5cm^2. If area of the base is 60cm^2, what is the total surface area of the pyramid
Answer:108.6
Step-by-step explanation:
HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!
Step-by-step explanation:
For the first term
[tex]\Rightarrow \dfrac{6}{5}=\dfrac{5+1}{5}\\\\\Rightarrow 5+\dfrac{1}{5}=5\dfrac{1}{5}[/tex]
(b)
[tex]\Rightarrow \dfrac{11}{7}=\dfrac{7+4}{7}\\\\\Rightarrow 1+\dfrac{4}{7}=7\dfrac{4}{7}[/tex]
(c)
[tex]\Rightarrow \dfrac{21}{4}=\dfrac{20+1}{4}\\\\\Rightarrow 5+\dfrac{1}{4}=5\dfrac{1}{4}[/tex]
(d)
[tex]\Rightarrow \dfrac{32}{7}=\dfrac{28+4}{7}\\\\\Rightarrow 4+\dfrac{4}{7}=4\dfrac{4}{7}[/tex]
(e)
[tex]\Rightarrow \dfrac{24}{9}=\dfrac{18+6}{9}\\\\\Rightarrow 2+\dfrac{6}{9}=2\dfrac{6}{9}[/tex]
(f)
[tex]\Rightarrow \dfrac{25}{6}=\dfrac{24+1}{6}\\\\\Rightarrow 4+\dfrac{1}{6}=4\dfrac{1}{6}[/tex]
A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
What is the density of the block?
Enter your answer in the box.
kg/m
Answer:
702
Step-by-step explanation:
A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
What is the density of the block?
Enter your answer in the box.
702
Answer:702
Step-by-step explanation:
We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.
Someone please just help me my grads are so bad please help me out
Answer:
7 is top answer bottom is 6, 5, and 5
Step-by-step explanation:
simple math but your welcome
can anyone help me out here? I will pay you 20 points
Answer:
The ordered pair that makes an equation true is called a solution
a)solution
b) not a solution
c) solution
d) solution
e)not a solution
f) not a solution
g) solution
h) not a solution
Step-by-step explanation:
The first number in an ordered pair is x, the second one is y
Plug in the numbers to x and y respectively
I'll give two examples so you know how to solve it
a) y=3x+1
-5=3(-2)+1
make sure you use pemdas (multiply first)
-5=-6+1
add
-5=-5
this is true (meaning it is a solution)
b) 6=3(-3) +1
6=-9+1
6 = -8
this is NOT true (not a solution)
If you have any questions feel free to ask
On the first day of spring, an ențire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The relationship between the elapsed time, t, in days, since the beginning of spring, and the total number of locusts, Nday (t), is modeled by the following function: Nday (t) = 300.(1.2)^t
Complete the following sentence about the weekly rate of change in the locust population.
Round your answer to two decimal places.
Every week, the number of locusts grows by a factor of
Answer:
3.58
Step-by-step explanation:
You want to know the weekly growth factor if the daily growth factor is 1.2.
7 daysThe weekly growth factor will be the growth factor over 7 days:
(1.2)^7 ≈ 3.58
Every week, the number of locusts grows by a factor of 3.58.
__
Additional comment
The exponential model is ...
number = (initial number)(growth factor)^t
The period of time associated with the growth factor is the units associated with t. Since 1 week = 7 days, the multiplier for 7 days is ...
weekly growth factor = (daily growth factor)^7
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If a man works for 8 hours a day, he can finish a job in 12 days. How many hours per day must he work to complete it in 10 days?
Answer:
9.6 hours
Step-by-step explanation:
12×8 would equal the amount of hours it takes to complete the job in 12 days so you simply divide that number by 10 which will give you 9.6h
Answer:
6.67 hour per day
Step-by-step explanation:
If
=8 hours a day = 12 days
then
= ? = 10 days
= 10/12 × 8hours per
= 6.67 hours per day.
PLEASE DON'T GUESS! I NEED THE CORRECT ANSWER!!!! THIS IS A TEST!!!!
Answer:
Option D "The graph on the left is..."
Step-by-step explanation:
because there's no graph that ever starts on 81 lol
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(0) = 2 B. g(-4) = -11 C. g(7) = -1 D. g(-13) = 20
A function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20
What is a function?A relation is a function if it has only One y-value for each x-value.
Given a a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45
and that g(0) = -2 and g(-9) = 6,
x=-20 then g(-20)=-5
x=-19 then g(-19)=-4
x=-18 then g(-18)=-3
x=-17 then g(-17)=-2
x=-16 then g(-16)=-1
x=-15 then g(-15)=0
x=0 then g(0)=-2
x=-9 then g(-9)=6
By observing this we can say that as x values are decreasing the function values are increasing and vice versa
So option D is correct
Hence, a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20
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Kaylah's cell phone has a mass of 58,000 centigrams What is the mass of her phone in grams? The mass of Kaylah's cell phone is ? grams.
The answer is 580 grams.
Can someone please help me with number 9.
9614 1404 393
Answer:
31.5 ft
Step-by-step explanation:
The length of the arc is the product of the radius of the circle, 11 ft, and the angle measure in radians. Arc PS has radian measure ...
(180° -16°)/180°×π = 41π/45
So, the length of arc PS is ...
s = rθ
s = (11 ft)(41π/45) = 451π/45 ft
s ≈ 31.5 ft