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mario62 [17]
3 years ago
9

Find the center and radius of the circle having the equation: x2 - 10x + y2 - 2y + 15 = 0

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

Step-by-step explanation:

hello :

(x² - 10x) + (y² - 2y) + 15 = 0

(x² - 10x+25-25) + (y² - 2y+1-1) + 15 = 0

(x² - 10x+25)-25 + (y² - 2y+1)-1 + 15 = 0

(x-5)²+(y-1)² = 11

the center is (5;1) and radius √11

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Step-by-step explanation:

The diagram shows that the one triangle can be divided into two equal right triangles.  Because of this, you can use the Pythagorean Theorem to solve this problem.  a and b are the two sides of the angles, and c is the hypotenuse.

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3 years ago
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zysi [14]

Answer:

The difference in slopes of f(x)\ and\ g(x) is = 3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

Step-by-step explanation:

Given equation:

f(x) =2x - 2

g(x) =5-x

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

y=mx+b

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We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -2-5=-7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

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3 years ago
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