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3 years ago

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60 POINTS PLEASE HELP!!!What is the transformation of A(6, 4) when dilated by a scale factor of ½, using the origin as the cente

r of dilation?

1 answer:

USPshnik [31]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

Multiply each of the coordinates by the dilation factor:

A' = (1/2)A = 1/2(6, 4) = (3, 2)

Point A gets transformed to point A'(3, 2), matching choice B.

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What function translates the function f(x) = to the right 2 units and up 10 units?<br><br> g(x)= |

Mandarinka [93]

Answer:

g(x) = | x - 2 | + 10

Step-by-step explanation:

given g(x) then g(x± h ) is a horizontal translation of g(x)

• if h > 0 then a move to the left of h units

• if h < 0 then a move to the right of h units

here the move is 2 units to the right, then

g(x) = | x - 2 |

given g(x) then g(x) + c is a vertical translation of g(x)

• if c > 0 then a move up

• if c < 0 then a move down

here the move is 10 units up , then

g(x) = | x - 2 | + 10

8 0

1 year ago

line AB passes through points A(-6,6) and B(12,3) if the equation of the line is written in slope intercept form

Paul [167]

Y=(-1/6)x+5
m=(y2-y1)/(x2-x1)
m=(3-6)/(12-(-6))
m=(-3)/(18)
m=-1/6
y=mx+b
y=(-1/6)x+b
6=(-1/6)(-6)+b
6=1+b
b=5
y=(-1/6)x+5

7 0

3 years ago

Can someone help me <br> Please and thank you!!

Arada [10]

Answer:

im pretty sure the answer is 150

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

Find the sum of 1/6and 7/12 in lowest terms.

disa [49]

Answer:3/4

Step-by-step explanation:

Multiply 1/6 by 2 to get 2/12 and then add that to 7/12 and get 9/12

If you simplify that you end up with 3/4

6 0

3 years ago

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67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

<u>2) Determine the y-intercept</u>

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

3 years ago