Answer:


Step-by-step explanation:
Answer is given above with explanations .
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Answer:
c
Step-by-step explanation:
Old coordinate
As center of dilation is origin the scale factor only multiplied with B
So
new coordinate
B'
- 1/2(2,-6)
- (2/2,-6/2)
- (1,-3)
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1 3-8 5
Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3) (I used point B here)
5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span> 5 5 5
Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span> 5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span> 5</span>
Answer:
<h2>
11.125</h2>
Step-by-step explanation:

To raise a product to a power, raise each factor to that power

To raise a fraction to a power, raise the numerator and denominator to that power

Any expression divided by itself equals 1

Any expression multiplied by 1 remains the same

Calculate the product

Write all numerators above the common denominator

Add the numbers

Divide

Hope this helps..
Best regards!!