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ryzh [129]
3 years ago
5

What is the equation of a circle that has a center at (-4, 10) and a radius of 8?

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

Answer:

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (-4, 10)

This means that x_0 = -4, y_0 = 10.

Radius of 8:

This means that r = 8. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-4))^2 + (y - 10)^2 = 8^2

(x + 4)^2 + (y - 10)^2 = 64

The equation of the circle is (x + 4)^2 + (y - 10)^2 = 64, third option is correct.

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Arte-miy333 [17]
One way to go about this is to first list everything we know in the form of variables. This will make it easier to see how these numbers correlate instead of trying to remember formulas to plug these numbers into.

TimeA = 2.4h (time of Car A to travel)
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SpeedA = SpeedB + 22mph (Speed of Car A<span>)
</span>SpeedB = SpeedA - 22mph (Speed of Car B<span>)
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We are looking for SpeedA. How can we find this? Well, we know that speed multiplied by time is equal to distance, so let's start there.

SpeedA * 2.4h = x
<span>(SpeedB + 22mph) * 2.4h = x
</span>(2.4h * SpeedB) + 52.8miles = x

We also know that:
SpeedB * 4h = x

Since both of these equations are equal to x, we can combine them:
SpeedB * 4h = x = <span>(2.4h * SpeedB) + 52.8miles
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SpeedB = 52.8/1.6 mph = 33 mph

<span>SpeedA = SpeedB + 22mph = 33mph + 22mph = 55mph
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Therefore, Car A was traveling at 55mph.
3 0
3 years ago
HELP!!!! <br><br> -5 3/4 - 3 1/2 = ?
umka21 [38]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Three consecutive integers have a sum of 78. find the inte
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