A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:
or
Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
Read more about dilations at:
brainly.com/question/13176891
You will know that it is greater than 10 because it goes into 621 more than 10 times
Answer:
x = 50
Step-by-step explanation:
<em><u>The first step is to subtract 6 from both sides:</u></em>
- 6 - 6
___________
= -12.5
<u><em>The fraction </em></u><u><em>, is really just </em></u>
<u><em>:</em></u>
= -12.5
<em><u>Multiply both sides by -4:</u></em>
x = 50
Answer:
The center of this circle is found at (4, -2) and the radius is 6.
Step-by-step explanation:
The equation for a circle in standard for is ( x – h)² + ( y - k)² = r². In this equation, (h, k) is the center of the circle and r is the radius.
From the given equation, ( x – 4)² + ( y + 2)² = 36, h is already subtracted from x, so h = 4, but the k is not subtracted, so (y + 2) = [y - (-2)], and we see that k is -2. Therefore, the center of the circle is (4, -2) and 36 = r². By taking the square root of 36, we find that r = 6.
The center of this circle is found at (4, -2) and the radius is 6.
Answer:
420 Square Units
Step-by-step explanation:
7*12*5 = 420 units
