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cupoosta [38]
3 years ago
9

What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

Step-by-step explanation:

if center=(h,k)

radius=r

eq. of circle is (x-h)^2+(y-k)^2=r^2

given eq. is (x-5)^2+(y+2)^2=16=4^2

comparing

center =(5,-2)

radius r=4

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Find the value of each variable<br> x= <br> y=<br> z=
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Answer:

Step-by-step explanation:

A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.

Finding z

z^2 + z^2 = (24√2)                    Combine the left

2z^2 = 24^2 * 2                         Divide both sides by 2

2z^2/2 = 24^2/2

z^2 = 24^2                                 Take the square root of both sides

√z^2 = √24^2

z = 24

Finding x and y

The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.

Tan 60 = opposite over adjacent

sqrt(3) = Perpendicular / z                      Multiply both sides by z

z*sqrt(3) = perpendicular

The above calculation tells us the perpendicular is 24

z*sqrt(3) = 24                                           Divide by sqrt 3

z = 24/√3

z = 24/1.73

z = 8√3

Finding x

Use Pythagoras to determine x

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576 + 192 = x^2

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1 year ago
Solve for e.<br> 9e+4=-5e+14+13e9e+4=−5e+14+13e<br> e=
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Answer:

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Step-by-step explanation:

9e+4=-5e+14+13e

Combine like terms

9e+4=14+8e

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e +4 = 14

Subtract 4 from each side

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