Start by adding 2 to both sides to get 3r^2 = 48. then divide both sides by 3 to get r^2 = 16. square root both sides to get r = 4.
Answer:i wish i can help but good luck getting the answer :}
Step-by-step explanation:
The coordinate of point N after the dilation is N' = (-8/3, 8/3)
<h3>Dilation of coordinates</h3>
Dilation is a transformation technique for changing the size of an object using a scale factor.
Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:
N' = (2/3(-4), 2/3(4))
N' = (-8/3, 8/3)
Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)
Learn more on scale factor here: brainly.com/question/10253650
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To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.
It should look like this: 8/100 (hint: per-cent means per-hundred).
Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.
Our proportional fractions are:
20/x = 8/100.
To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).
This product equation should look like this:
20 x 100 (when simplified, we get 2000).
Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).
This product equation should look like this:
8x.
Now that we've cross-multiplied, set our two products as an equation.
8x = 2000.
To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).
8x / 8 = x
2000 / 8 = 250.
x = 250
Your final answer is:
8% of 250 is 20.
I hope this helps!
The answer is math+math=math
