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jonny [76]
2 years ago
15

Find the x-intercept of the line whose equation is 8x + 2y = 4. 04 02 1/2

Mathematics
1 answer:
bezimeni [28]2 years ago
4 0

Answer:

1/2

Step-by-step explanation:

The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.

8x + 2y = 4

8x + 2(0) = 4

8x = 4

x = 4/8

x = 1/2

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The diameter of the attic is 18ft and its height is 18ft. What's is the volume of the space in the attic
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I attached an image with the complete question.

Answer:
volume of attic = 1526.04 ft³

Explanation:
Volume of cone can be calculated using the following rule:
Volume = \frac{1}{3} * area of base * height
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We are given that:
π = 3.14
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Volume = \frac{1}{3} * 3.14 * (9)^2 * (18) = 1526.04 ft³

Hope this helps :)

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3 years ago
A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circ
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Answer:

The center of the circle is C(x,y) = (2, 3).

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y) (1)

Where:

C(x,y) - Center.

R_{1} (x,y), R_{2} (x,y) - Location of the endpoints.

If we know that R_{1} (x,y) = (-2,10) and R_{2} (x,y) = (6,-4), then the location of the center of the circle is:

C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)

C(x,y) = (-1, 5) + (3, -2)

C(x,y) = (2, 3)

The center of the circle is C(x,y) = (2, 3).

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