Answer: y = (x +2)² + 5
<u>Step-by-step explanation:</u>
y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>
Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)
y = a(x - h)² + k
9 = a(0 - (-2))² + 5
9 = a(0 + 2)² + 5
9 = a(2)² + 5
<u>-5 </u> <u> -5 </u>
4 = a(4)
<u>÷4 </u> <u> ÷4 </u>
1 = a
Next, plug in "a" and the vertex (h, k):
y = a(x - h)² + k
y = 1(x +2)² + 5
y = (x +2)² + 5
Answer:
10π
Step-by-step explanation:
RULE: The angle measure of the central angle is congruent to the measure of the intercepted arc.
RULE: Central Angle = Arc length
Given:
Arc length (20 π) = central angle (180)
we know 180 degrees is a straight line, thus a semi-circle is created. This would be the diameter.
1/2 diameter is the radius. 20π/2 is the radius.
10π
Answer:
(A.) x = y - 4
Step-by-step explanation:
All you need to do is subtract the 4 from both sides, giving you the final equation as x = y - 4.
