X equals 125 and y equals 55
Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
Answer:
A beach ball is a sphere, so we will need to know how to find the volume of a
sphere. V = 4Pi * (r ^ 3 / 3)
We have the diameter, but not the radius. To find the radius, it is half of the
diameter.
10÷2=5 Now let's plug it in.
4T(5³/3) Let's solve.
4pi = 12.56
5³= 125
125÷3= 41.67 (repeating 6) 41.67x12.56=523.3752
523.33 cubic inches is the volume of
air contained inside the beach ball. The reason I picked that answer is because a repeating 6. So we should expect for
we rounded up to 41.67, when there was
the answer to be a couple decimals lower
from the answer we got. Tell me if this helps!!