Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
Step-by-step explanation:
< PQS is exterior angle of the triangle
So,
2X = X + 58
X=58
m < P = 58
m <P QR = 180 - ( 58 + 58 ) =, 64
m < P QS = 116
$9.99 is 15% if $66.60 which totals up to $76.59.
Answer a-$10.05 estimate
Answer:
The y intercept and the slope are given in the equation. y=mx+b is slope-intercept form. mx is the slope and b is the y intercept. so in y=3x-5, 3x is the slope and -5 is the y intercept (what y is when x is zero).
Step-by-step explanation:
