Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?

HELP NEEDED, GIVING BRAINLIEST!

Nataly_w [17]

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Step-by-step explanation:

Given

Dilation: D : (x,y) => (4x,4y)

And Vertices

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

Applying dilation on all vertices

$A ( 2, 1 ) => A'(4*2, 4*1) => A'(8,4)\\B ( 4, 1 ) = > B' (4*4 ,4*1) = > B'(16,4)\\C(4,-3) => C' (4*4 , 4*-3) => C'(16, -12)$

To find the scale factor,

As we are multiplying each vertex coordinate by 4, the dilation factor is 4.

Moreover,

$\frac{A'}{A} = \frac{(8,4)}{(2,1)} = (4,4)$

Hence the scale factor is 4.

So,

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Keywords: Dilation, Scale factor

Learn more about dilation at:

#LearnwithBrainly

4 0

3 years ago

PLEASE HELP MEEE ASAP

lys-0071 [83]

Step-by-step explanation:

first of all, g(x) has only negative functional result values (y) except for 0.

and a square is always positive.

so, the only possible right answers are the ones that include a minus ("-") sign.

the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).

so, which equation turns an x = 1 into an y = -3 ?

therefore, the right answer must be D.

g(x) = -3x²

it works for both points :

-3 = -3×1² = -3 correct

-3 = -3×(-1)² = -3×1 = -3 correct

8 0

3 years ago

The sales tax on a surfboard is $12. What is the percent of sales tax?

Rudik [331]

X= sales tax %

Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)

Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
=5 %

The sales tax is 5%.

Hope this helps! :)

8 0

3 years ago

Find the tangent of both angle A and angle B. Ignore what the picture says the numbers are the same.

Elena-2011 [213]

For the angle A we have:
tan (A) = C.O / C.A
tan (A) = 10/24
Simplifying we have:
tan (A) = 5/12
For angle B we have:
tan (B) = C.O / C.A
tan (B) = 24/10
Simplifying we have:
tan (B) = 12/5
Answer:
The tangent of angles A and B is given by:
tan (A) = 5/12
tan (B) = 12/5

4 0

4 years ago

Sally did some counting look at her work explain why you think sally counted this way 177,178,179,180,190,200,220,211,212,213,21

dimulka [17.4K]

<span>The first and last four numbers each have a difference of one between them. The fifth number has a difference of 10 between it and the previous number. The middle number has a difference of 20 between itself and the two numbers that surround it. Counting in this way could have been a result of a lot of things to count, and spot checking along the way (when the numbers have a difference of 1).</span>

8 0

4 years ago