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Katyanochek1 [597]
3 years ago
13

The solution to x2 – 10x = 24 is

Mathematics
2 answers:
Law Incorporation [45]3 years ago
3 0
X^2 - 10x - 24 = 0
(x - 12)(x + 2) = 0
x - 12 = 0 or x + 2 = 0
x = 12 or x = -2
Sedbober [7]3 years ago
3 0

answer:

C. 12 or -2

hope this helps! :o)

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
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Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

Solve for <em>r: </em>

<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

Finally, add:

r^2=34

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

(x-7)^2+(y-2)^2=34

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