a. The center of the circle will be the coordinate point of the marked point inside the circle.
center: (3,-5)
The radius is the distance between the center and any point on the circle.
radius: 4 units
b. standard form for circles: (x-h)²+(y-k)²=r² where (h,k) is the center
standard form: (x-3)²+(y+5)²=16
c. Simplify equation in standard form to get general form.
(x-3)²+(y+5)²=16
x²-6x+9+y²+10y+25=16
general form: x²+y²-6x+10y+18=0
Hope u find this useful!
Answer:
<h2>
</h2>
Step-by-step explanation:
If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answer:
8
Step-by-step explanation:
All the factors of 8 and 16 are 1;2;4;8
The scale factor of the dilation is 2
