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rewona [7]
3 years ago
12

The line represented by 2y = x + 8 is dilated by a scale factor of k centered at the origin, such that the image of the line has

an equation of y - 12x = 2. What is the scale factor?
Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer:

k=\frac{1}{2}

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

If two lines are similar, then the lines are parallel

Lines parallel have the same slope

so

we have

Line A

2y=x+8

isolate the variable y

y=0.5x+4 ----> equation A

The slope of the line A is m=0.5

The y-intercept of the line A is b=4

Line B

y-\frac{1}{2}x=2

isolate the variable y

y=\frac{1}{2}x+2 ----> equation B

The slope of the line B is m=0.5

The y-intercept of the line B is b=2

Remember that

The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B

so

4k=2

solve for k

k=\frac{1}{2}

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Match each trig function to a ratio. cos (A) =
soldi70 [24.7K]

Answer:

Cos A = x/z

Step-by-step explanation:

You need to memorize the definitions of all the trig functions and then these types of problems become easy!   OK?

Cos = adjacent side/hypotenuse

Cos A = x/z

7 0
3 years ago
The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1.
Natasha2012 [34]

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 =  2

              ------------

                   14

PR = PQ + QR

PR = 8 + 4

PR = 12

5 0
3 years ago
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Given that sin(x)= 7/11, find cos(90-x)
marta [7]
Yes indeed it is 7/11
6 0
3 years ago
Simplify: 5/4 times 22/45
Finger [1]
5/4 x 22/45

110/ 180

11/18
6 0
3 years ago
PLZZZZZ HELP ME Find the sum
mario62 [17]

Answer:

27 \frac{2}{3}

Step-by-step explanation:

Ok, so first substitute x for 4 in

"g(x) = 5x + 1", and x for 3 in

"k(x) = 2/x + 2x". Now you got:

g(4) = 5(4) + 1

k(3) = 2/(3) + 2(3)

Now you can solve each individually.

g(4) = 5 × 4 = 20

20 + 1 = 21

g(4) = 21

k(3) = 2 × 3 = 6

6 + 2/3 = 6 2/3

k(3) = 6 2/3

g(4) + k(3) = 21 + 6 2/3 = <u>27 2/3</u>

Hope this helps :)

7 0
2 years ago
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