<h2>
Answer</h2>
After the dilation
around the center of dilation (2, -2), our triangle will have coordinates:



<h2>Explanation</h2>
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor
. Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:













Now we can finally draw our triangle:
Answer:
Number of coupons sent to Existing members = 33
Step-by-step explanation:
Number of coupons sent out = 231
Let :
6 times as many to potential members = 6 * X = 6X
while existing members = X
therefore 6X + X = 231
7X = 231
therefore X = 231 / 7 = 33
so existing members = 33
while potential members = 6 * 33 = 198
This one was though, but I think it might be y= -1/12x - 53/12.
Hope I helped!
A.(2,3)
B.(5,5)
C.(7,3)
D.(5,2)
Can someone help meh. Trying to reach Ace tank.
Answer: 800 feet²
Step-by-step explanation:
Lets remove the brackets from the function's expression
A(x) = -2x²+80x
So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max
As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)
Lets find X1 and X2
x(80-2x)=0
x1=0 80-2*X2=0
x2=40
So Xmax= (0+40)/2=20
So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²