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Mars2501 [29]
2 years ago
13

What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?

Mathematics
1 answer:
Vadim26 [7]2 years ago
4 0

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

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4 0
3 years ago
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What is the solution to the following system of equations?
Mrac [35]

Answer:

<h2>x = 3, y = -1 ⇒ AB</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x-3y=6&\text{multiply both sides by (-2)}\\2x+2y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+6y=-12\\2x+2y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad8y=-8\qquad\text{divide both sides by 8}\\.\qquad\qquad y=-1\\\\\text{Put the value of y to the first equation:}\\\\x-3(-1)=6\\x+3=6\qquad\text{subtract 3 from both sides}\\x=3

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Part 1:"The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet
Nostrana [21]

Answer:

PART 2:

Total cost is 1198.8

Colored glass=

540/ 108

clear glass=

216/108

materials=

10.8/108

Frame=

432/108

PART 3

The window would be 4.5 ft tall and 6 ft wide

Colored glass =

135/27

clear glass =

54/27

frame =

108/27

materials=

2.7/27

ADD

135+108+54+2.7= 299.7

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3 years ago
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In the data set below, what is the mean absolute deviation?
lbvjy [14]

Add the numbers and divide by 5 to get a mean of 6.4

8 - 6.4 = 1.6

4 - 6.4 = -2.4

7 - 6.4 = 0.6

8 - 6.4 = 1.6

5 - 6.4 = -1.4

Add the absolute value of each: 1.6 + 2.4 + 0.6 + 1.6 + 1.4 = 7.6

Divide by 5 = 1.52

1.5

3 0
2 years ago
Find the exact value of each trigonometric function for the given angle θ.
irina [24]

Answer:

[rad] 2.41

Step-by-step explanation:

Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):

cot^-1(-√5/2)

And we should get 2.41 as our answer!

3 0
2 years ago
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