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Bingel [31]
3 years ago
10

Given the center of a circle as ( 1, -1 ) and a point on the circle at (4 , 2). Write the equation of the circle. *

Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

(x − 1)² + (y + 1)² = 18

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

The center is (1, -1), so plugging that in:

(x − 1)² + (y + 1)² = r²

A point on the circle is (4, 2), so plugging that in:

(4 − 1)² + (2 + 1)² = r²

18 = r²

Therefore, the equation is:

(x − 1)² + (y + 1)² = 18

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dezoksy [38]

Answer:

y = 5.4x + 23.5

Step-by-step explanation:

Since the service charges $23.50 for every hour, you have to multiply x by 23.5 like this: 23.5

There is a flat fee of $23.50, so you have to add 23.5 on top of that like this: 5.4x + 23.5

All of this has to add up to y; 5.4x + 23.5 = y

5 0
2 years ago
A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of
liberstina [14]

Answer:

x = $3, or x = $11


Step-by-step explanation:

The equation given is P(x)=-2(x-3)(x-11)

where

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  • x is the app price

<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>

P(x)=-2(x-3)(x-11)\\0=-2(x-3)(x-11)\\0=(x-3)(x-11)

<em>It means (x-3) = 0  OR  (x-11) = 0</em>

So, x = 3, or 11

7 0
3 years ago
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College Math!!! I did the first half of the question, I just need the bottom half of it.
ella [17]

Answer:

-49

Step-by-step explanation:

\int _{-5}^{-2}\:\left(8\:w\left(r\right)-3\right)dr = \int _{-5}^{-2}\:8\:w\left(r\right)dr -3 (-2 -(-5)) = 8 \int _{-5}^{-2}\:\:w\left(r\right)dr -9 =8(-5) -9 = -49

7 0
3 years ago
-4x + 1 = -11 <br>how do i solve this​
svp [43]

Answer:

3

Step-by-step explanation:

- 4x + 1 = - 11

- 4x = - 11 - 1

- 4x = - 12

x = - 12 / - 4

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5 0
3 years ago
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