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Vlad [161]
3 years ago
15

Find the center of the circle with the following equation

Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

center is (1,-5)

the radius is 4

Step-by-step explanation:

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The width of a rectangle is 9 in. shorter than its length. The area of the rectangle is 252 in². What is the length of the recta
erastovalidia [21]

Answer:

the length of the rectangle is, 21 in.

Step-by-step explanation:

Area of the rectangle(A) is given by:

A=lw           .....[1]

where,

l is the length of the rectangle

w is the width of the rectangle.

As per the statement:

The width of a rectangle is 9 in. shorter than its length.

⇒w = l-9

It is also given that:

The area of the rectangle is 252 in².

⇒A = 252  in².

Substitute in [1] we have;

252 = l(l-9)

⇒252 = l^2-9l

⇒l^2-9l -252 = 0

Factorize this equation:

Split the middle term;

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⇒l(l-21)+12(l-21)=0

⇒(l-21)(l+12)=0

By zero product property we have;

l-21 =0 and l+12 =0

⇒l = 21 and l = -12

Since, length cannot be in negative

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3 years ago
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Len [333]

Answer:

51°

Step-by-step explanation:

Reference angle (θ) = ?

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Apply SOH, which is;

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θ = 51° (neatest whole degree)

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