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balu736 [363]
3 years ago
10

A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving th

e answer in terms of π. A) 10π in2 B) 25π in2 C) 50π in2 D) 96π in2
Mathematics
1 answer:
Natali [406]3 years ago
7 0
When a sphere is cut by a plane which passes through the center, it will create a circle that has the same diameter of the sphere.

To represent this area, you will use the formula for finding area of a circle.

A= pi x r^2
Pi x 5^2
A = 25 x pi or choice B
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What is an equation of the line that passes through the points (0, 3) and (5,-3)?
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Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

y = m\cdot x + b (Eq. 1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

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If we know that (x_{1},y_{1}) = (0,3) and (x_{2},y_{2})=(5,-3), the following system of linear equations is constructed:

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The solution of the system is: b = 3, m = -\frac{6}{5}. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is y = -\frac{6}{5}\cdot x +3.

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Step-by-step explanation:

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