You have a rectangular yard that measures 16 feet long 14 feet wide. It is covered in grass except for the center, where there i
1 answer:
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Answer:
Step-by-step explanation:
x-intercepts are when the curve intercepts the x-axis, so when y =0.
Therefore, to find the x-intercepts, substitute y = 0 and solve for x.
The vertex is the turning point: the minimum point of a parabola that opens upward, and the maximum point of the parabola that opens downward. As a parabola is symmetrical, the x-coordinate of the vertex is the midpoint of the x-intercepts.
Equation:
Therefore, the x-intercepts are x = 0 and x = 2
The midpoint of the x-intercepts is x = 1, so the x-coordinate of the vertex is x = 1
Equation:
Therefore, the x-intercepts are x = -5 and x = 4
The midpoint of the x-intercepts is x = -0.5, so the x-coordinate of the vertex is x = -0.5
Equation:
Therefore, the x-intercepts are x = 0 and x = 3
The midpoint of the x-intercepts is x = 1.5, so the x-coordinate of the vertex is x = 1.5
The volume of the sphere in cubic inches is option D) 1767.1
<u>Step-by-step explanation</u>:
Given,
The diameter of the sphere = 15 inches
The radius of the sphere, r = diameter/2
=15/2
r =7.5 inches
The volume of the sphere = 4/3 πr^3
⇒ 4/3 π(7.5)^3
⇒ 4/33.14
421.86
⇒ 1766.25 cubic inches
⇒ 1767 cubic inches (approximately)