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1 year ago

Write an equation for a circle with center (-2, 8) and radius 9.

Mathematics

1 answer:

Zanzabum1 year ago

5 0

The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.

<h3>What is an equation of a circle?</h3>

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

Write an equation for a circle with a center (-2, 8) and a radius of 9.

Then the equation will be

(x + 2)² + (y − 8)² = 9²

(x + 2)² + (y − 8)² = 81

Learn more about the equation of a circle here:

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or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

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Step-by-step explanation:

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2 years ago

there are 72 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/8 of the remaining house

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Step-by-step explanation:

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3 years ago

Molly was on a long 136 mile road trip. The first part of the trip there was lots of traffic, she only averaged 16 mph. The seco

Mazyrski [523]

Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

$d=136$

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$v_1=16$

The second part of the trip there was no traffic so she could drive 44 mph;

$v_2=44$

She traveled for a total of 5 hours;

$t=5$

let x represent the time in traffic when she traveled at 16 mph

$t_1=x$

the time the traffic is clear would be;

$t_2=t-t_1=5-x$

Recall that distance equals speed multiply by time;

$d=v_1t_1_{}_{}^{}+v_2t_2$

substituting the values;

$136=16x+44(5-x)$

solving for x;

$\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}$

So;

$\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}$

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

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1 year ago

Which angle is congruent to p

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2 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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Normal probability distribution

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In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .