If the line containing the points (-2,10) and (7, 4) is dilated by a factor of 2, what is the
slope of the image?
ASAPPP NUMBER 2
Answers
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Explanation:
Let's compute the slope of the line through the two original points
m = (y2-y1)/(x2-x1)
m = (4-10)/(7-(-2))
m = (4-10)/(7+2)
m = -6/9
m = (-2*3)/(3*3)
m = -2/3
The slope is -2/3
-------------
Now apply the scale factor.
We'll multiply each coordinate of each point by 2
(-2,10) becomes (-4,20) after multiplying each coordinate by 2
(7,4) becomes (14,8) after multiplying each coordinate by 2
Let's find the slope of the line through (-4,20) and (14,8)
m = (y2-y1)/(x2-x1)
m = (8-20)/(14-(-4))
m = (8-20)/(14+4)
m = -12/18
m = (-2*6)/(3*6)
m = -2/3
We get the same slope. This isn't a coincidence. Dilating a set of points will preserve the slope of the line through those points.
If A and B are the two original points, and A' and B' are the dilated counterparts, then the slope of line AB is the same as the slope of line A'B'.
The scale factor doesn't affect the answer.
Related Questions
A pelican is flying 17 feet above sea level. Directly below the bird is a trout that is swimming 23 feet below
sea level.
What is the distance between the pelican and the trout?
A: -40 feet
B: -6 feet
C: 6 feet
D: 40 feet
Answers
Because if you do the math
Simplify: (55° +7s? + 3)+(75° – 5s?)
Answers
5x + 2 = 22 plzzzzzz hellpppp
Answers
Answer:
x=4
Step-by-step explanation:
subtract 2 from both sides---
5x + 2 - 2 = 22 - 2
simplify ---
5x=20
Divide both sides by 5 -----
5x/5 = 20/5
simplify -----
x-4
hope this helps :)
28 is 12 less than 4 times a number. Find the number
Answers
Answer:
10
Step-by-step explanation:
4x-12=28
4x = 40
x = 10 (Answer)
Find the area of the larger rectangle.
Answers
I'm guessing 90cm ?? I'm not sure
I need help! 50 points + brainliest
1 - Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.
x = ±3
x = 3
x = -3
x = ±9
2 - Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.
h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)
Answers
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]
And that:
[tex]h(x)=f(x)/g(x)[/tex]
And we want to now for which values of x is h(x) undefined.
So, by substitution:
[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
[tex]x^2-9=0[/tex]
Add 9 to both sides:
[tex]x^2=9[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
[tex]x=\pm 3[/tex]
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]
And we want to find:
[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]
So:
[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]
Distribute:
[tex]h(x)=3^x-3^{2x}+3^x[/tex]
Combine like terms:
[tex]h(x)=2(3^x)-3^{2x}[/tex]
Rewrite:
[tex]h(x)=2(3^x)-(3^x)(3^x)[/tex]
Factor out:
[tex]h(x)=3^x(2-3^x)[/tex]
So, our answer is C.
A snail is crawling straight up a wall. The first hour it climbs 16 inches, the second hour it climbs 12
inches, and each succeeding hour, it climbs only three-fourths the distance it climbed the previous
hour.
How far does the snail climb during the 7th hour? Round to the nearest inch.
a. 3 inches
b. 2 inches
c. 4 inches
d. 5 inches
I need help!!
Answers
Answer:
A. Three inches
Step-by-step explanation:
Exact amount is: 2.84765625
Can someone help me with this? It’s unit rates with price. Question: 6 feet of ribbon for $19.20
Answers
Answer:
OOPEEEEEEEEEEEEEEEE
Step-by-step explanation:
The answer is,
4.53
Convert the following mixed number into a improper fraction.5 1/2
Answers
Answer:
Step-by-step explanation:
[tex]\text{rule}=a+\frac{b}{c}=\frac{ac+b}{c}\\ \\ 5\frac{1}{2}=\frac{5(2)+1}{2}\\ \\ \frac{11}{2}[/tex]
Her pie plate is 9 inches across. What will the area of her pie be? Use 3.14 for pi.
Answers
Answer:
63.585 sq. inches
Step-by-step explanation:
r = 9in ÷ 2
A = π (4.5)²
A = 63.585 sq. inches
Radius of pie plate is 63.58 square inches
Area of circle:Given that;
Diameter of pie plate = 9 inches
Find:
Area of pie plate
Computation:
Radius of pie plate = 9/2 inches
Radius of pie plate = 4.5 inches
Area of circle = Area of pie plate
Area of pie plate = πr²
Area of pie plate = (3.14)(4.5)²
Radius of pie plate = 63.58 square inches
Find out more information about 'Radius'.
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Please help me! (Tangent Ratios) (30 points)
Answers
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
Is it a function or not a function?
Answers
Answer:
not a function
Step-by-step explanation:
Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.
Answers
Answer:
m = 7
Step-by-step explanation:
21 = m + 14
21 - 14 = m
m = 7
Please help I’ll make you a branliest!!!!!!!
Solve 3(x+2)>x
[xIx<-3]
[xIx>-3]
[xIx>-1]
[xIx<-1]
Answers
Answer:
2 answer is right
Step-by-step explanation:
I think
Mr. Phan fills a portion of his pool with water on Monday. Then on Tuesday, he fills the pool with water coming from a hose at a constant rate. The table shows the number of feet of water in the pool as a function of time on Tuesday. What is the rate of change of the function? Explain your reasoning. Time on Tues. Amount of Water after 9 am (hr) in Pool (ft) 0 11 1 17 2 23 Rate of Change 1 2 3 4 5 6 N
Answers
Answer: .6 ft. every hour
Step-by-step explanation: when you add the amount of feet added each hour you get .6 ft.
Function 2
ху
213
2
315
417
9
2
Consider the two functions. Which statement is true?
A)
Function 1 has a greater rate of change by 2
re
ning
:16
B)
Function 2 has a greater rate of change by 2
3
Function 1 has a greater rate of change by
2
Function 2 has a greater rate of change by
3
Answers
Answer:
b
Step-by-step explanation:
i think
Answer:
B
Step-by-step explanation:
please help! solve for x!
Answers
Answer:
x = 9
-1 + 14x = 12x + 17
Answer:
x = 9
Step-by-step explanation:
-1 + 14x = 12x + 17
Rearrange terms.
14x - 1 = 12x + 17
Add 1 to both sides of the equation.
14x - 1 + 1 = 12x + 17 + 1
Simplify.
14x = 12x + 17 + 1
14x = + 12x + 18
Subtract 12x from both sides of the equation.
14x - 12x = + 12x - 12x + 18
Simplify.
2x = + 12x - 12x + 18
2x = 18
18 ÷ 2 = 9
x = 9
What is the area of "triangle " XYZ to the nearest tenth of a square inch? Use special right triangles to help find the height. Show your work.
Answers
Answer:
That is a 30 60 90 triangle.
In such a triangle the "middle" size = short side * sq root (3)
height = 5 * sq root (3) = 8.6602540378
Area = (1/2) * 5 * 8.6602540378
Area = 2.5 * 8.6602540378
Area = 21.6506350946 square centimeters
Step-by-step explanation:
Answer:
A=24√3
Put In Decimal Form:41.5692193817^3
Step-by-step explanation:
4 Inches on short side, this means that the long side is 8 inches because the short side is always 1/2 the length of the long side, The medium side length is 4√3. So you need to take the short side and medium side and multiply them by 1/2, look below for how to do it.
A=1/2(4)(4√3)
2(12√3)
24√3
In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats are $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
Answers
Answer: Given:
4 shirts, 4 pairs of trousers , and 2 hats is $560
9 shirts, 9 pairs of trousers , and 6 hats is $1,290
1) Let x be the price of 1 shirt
Let y be the price of 1 pair of trousers
Let z be the price of 1 hat
2) 4x + 4y + 2z = 560
3) 9x + 9y + 6z = 1,290
4) (9x + 9y + 6z) / 3 = 1,290 / 3
3x + 3y + 2z = 430
5)
4x + 4y + 2z = 560
- (3x + 3y + 2z = 430)
x + y = 130
6) 3(x+y) + 2z = 430
3(130) + 2z = 430
390 + 2z = 430
2z = 430 - 390
2z = 40
z = 40/2
z = 20
7) x = price of 1 shirt; y = price of 1 pair of trousers ; z = price of 1hat
x + y = 130 ; z = 20
130 + 20 = 150
The price of 1 shirt, 1 pair of trousers, and 1 hat is $150.
So this is not impossible!
-chiyoku toga
Answer:
hey
Step-by-step explanation:
I need this asap very easy!!! Please serious answers please!! I will mark brainliest if right
Answers
Answer:
1. no
2. 36+196=232 c=441 Obtuse.
3. x is greater than 3, less than 21.
Step-by-step explanation:
1. no
2. 36+196=232 c=441 Obtuse.
3. x is greater than 3, less than 21. is the correct answer to the question
To the nearest square unit what is the area of the regular octagon shown below 26.6
Answers
the answer is
2341 square units
Answer:
B, the answer to your question is 2341 square units
Step-by-step explanation:
26.6*(22*8)= 176*4861.6
4861.6/2 is = to 2341 your answer
Solve it please
5 + x = 3(x - 7) + 6
Answers
Answer:
x=10
Step-by-step explanation:
x+ 5= 3x - 21 +6
x+5 = 3x - 15
20= 2x
The reason for this is you distribute the 3 giving you 5+x=3x-21+6.
Then add the 6 to make 5+x=3x-15
Add 15 on both sides to make 20+x=3x
Subtract x on both sides to be 20=2x
Divide both sides by 2 to make 10=x
Uhhhh someone plz help me I will give brainliest
Answers
Answer:
18
Step-by-step explanation:
3(4) + 3(2)
12 + 6 = 18
Find the real solution(s) of the following equation. n to the power of 3 =64
Answers
Answer:
n = 4
Step-by-step explanation:
To do this you would find the cube root of 64 which is 4.
n =4 will be the only solution of the following equation. n to the power of 3 =64.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an equation n to the power of 3 =64.
This equation can also be represent as:
n³ = 64
taking cube root of the Both sides
n = ∛64
n = 4
Therefore, the real solution of the following equation. n to the power of 3 =64 is n = 4.
Learn more about Mathematical operations here:
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The answer is x = 7
Problem is I don’t how to get there
Answers
Answer:
x=7
Step-by-step explanation:
okay so you can see that there is a isocales triangke so that means the other base angle has to be 8x
then you know that the dioganels are perpendicular to each other
so then you know that 8x+5x-1+90=180
13x-1=90
13x=91
x=7
hope that helps
2/3 x 4/5? or any other way of solving this
Answers
Why was a book in the frying pan on the stove (5.3) puzzle time grade 6
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Can someone please help me. WILL MARK YOU BRAINLIEST!!
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Answer:
A. y > -3 All real numbers greater than -3
Step-by-step explanation:
I need help please help with this question I will give brainliest this is a major grade so no joking around please
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Answer:
A
Step-by-step explanation:
The transformation that describes reflection over the x-axis is (x,-y)
5. Use the Distributive Property to rewrite the expression in its equivalent form 24x-18 6 ANSWER