Answer:
h = 7, k = -1
Step-by-step explanation:
After 7 units left,
The function f(x) maps onto f(x+7)
g(x) = f(x + 7)
g(x) = 2(x + 7) - 1
g(x) = 2(x + h) + k
h = 7, k = -1
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
(x - h)^2 + (y -k)^2 = r^2
(h,k) is the center and r is the radius.
(x + 2)^2 + (y + 8)^2 = 16
Answer:
n = 4
Step-by-step explanation:
4(2n + 3) = 44
Expand the brackets.
4(2n) + 4(3) = 44
8n + 12 = 44
Subtract 12 on both sides.
8n + 12 - 12 = 44 - 12
8n = 32
Divide both sides by 8.
(8n)/8 = 32/8
n = 4