Answer:
a.
Step-by-step explanation:
seen that before
Let the sides of the polygon (which is a triangle, by the way) be x, y and z. The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.
Letting f be the scale factor, f(18 cm) = 12 cm. Then f=2/3.
The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.
In each case we have 3 side lengths but no angles. We can use Heron's formula to obtain the area in each case. Look up Heron's formula. In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second.
The area of the first triangle would be
A18 = sqrt( 9(9-x)(9-y)(9-z) )
whereas
A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.
Then the ratio of the areas of the 2 triangles is
sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
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sqrt( 9(9-x)(9-y)(9-z) )
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation:
A = x^2 + 9x - 36. This factors into A = (x + 12)(x - 3). We can assume that the length of the parallelogram is x + 12 and that the width is x - 3.
Note that if x = 3 the area becomes zero. So: x must be greater than 3, so that the (x - 3) factor is positive.
Example: If x = 4, then the dimensions of the parallelogram are 4 + 12, or 16, and 4 - 3, or 1.
Answer:
B, and W are correct i think
Step-by-step explanation:
Answer:
k determines how many units up or down the parent function will be translated.
Step-by-step explanation:
y=f(x)+k, where k>0 ——> the parent function will be translated up k units
y=f(x)+k, where k<0 ——> the parent function will be translated down k units
