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katrin [286]
3 years ago
12

What is the approximate area, in square feet, of a circle with a diameter of 6 feet?

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

PI×(RADIUS) 2

Step-by-step explanation:

RADIUS = 6/2 = 3 FEET

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Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).
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The equation of the line is y=\frac{1}{4}x-\frac{29}{7}

Explanation:

The equation of the line is perpendicular to y=-14 x-8

The equation is of the form y=mx+b where m=-14

<u>Slope:</u>

The slope of the perpendicular line can be determined using the formula,

m_1 \cdot m_2=-1

-14 \cdot m_2=-1

       m_2=\frac{1}{14}

Thus, the slope of the line is m=\frac{1}{14}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the slope m=\frac{1}{14} and the point (2,-4), we get,

y+4=\frac{1}{14}(x-2)

Simplifying, we get,

y+4=\frac{1}{14}x-\frac{1}{7}

     y=\frac{1}{14}x-\frac{1}{7}-4

     y=\frac{1}{4}x-\frac{29}{7}

Thus, the equation of the line is y=\frac{1}{4}x-\frac{29}{7}

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3 years ago
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Fynjy0 [20]
Make the fractions improper:
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2 years ago
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Beth poured the same amount of juice into 1010 glasses. She used 22 quarts of juice. How much juice is in each glass?
lozanna [386]
22qt/1010gl=11/505 qt/glass
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**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?
Alborosie
We analyze the linear function to find that it has equation y=x.  Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting y=x into the given equation:

x^2+x^2=36

2x^2=36

x^2 = 18

x = \pm 3\sqrt{2}

Hence, x = 3\sqrt{2} or -\sqrt{2}, so there are both positive and negative values for x.
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3 years ago
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Paladinen [302]
The answer is <span>B.The statement is true, but the inverse is false.

An acute angle is less than 90 degrees when talking about the terminal side. It inverse would be 360 - 43 = 317 degrees </span>
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