Plot the image of point D under a dilation about point P with a scale factor of 1/3
1 answer:
Answer:
(if point P is (0,0))
(4,3)
Step-by-step explanation:
I do not know how to take a picture of a plot diagram but I will try to do my best in explaining
I am going to treat the grid as a plot diagram where P is the origin, and D is (12,9)
If you are doing a dilation with the origin as the center, you can use formula
Where t is the scale factor
The first step is to plug in the numbers appropriately
Then, multiply 12 by 1/3 and 9 by 1/3
Your answer is (4,3)
Hope this helps, again I am so sorry it is confusing, if you have ANY questions please feel free to ask.
Have a nice day! :)
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9514 1404 393
Answer:
14.3%
Step-by-step explanation:
We assume this question is asking for the annual interest rate for an amortized loan that would produce the same total repayment amount as if 8% simple interest were added to the $4900 loan amount. There is no formula for that, but there are a number of apps and spreadsheets that can calculate it. In the attached, we have use a graphing calculator.
The APR is about 14.3%.
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A = P(1 +rt) = $4900(1 +0.08·4) = $6468
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In the attachment, we show the value of r (in percent) that would make the payment amount A be $134.75. We have done this by casting the problem in the form f(r) = 0 and looking for the x-intercept of f(r).
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<em>Additional comment</em>
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We found the graphing calculator solution to be much quicker, though in that case we actually had to know the formula to use to calculate the payment. The payment formula is built into the spreadsheet.
Answer:
24 cm
Step-by-step explanation:
Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.
Area of the shaded region (square) =
To find: the perimeter of the star
Solution:
Area of the shaded region (square) =
Area of square =
As each equilateral triangle has side lengths that are the same as the side length of the square,
length of side of the star = 3 cm
Perimeter is the sum of lengths of the sides.
Perimeter of star = sum of 8 sides of the star
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