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vazorg [7]
3 years ago
10

What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250? A) 9 units B) 12 units C) 15 units D) 18 units

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

D

Step-by-step explanation:

To find the radius of the circle with equation x2 + y2 – 14x + 10y = 250, convert the equation into vertex-form (x - h)² + (y-k)² = r². Convert by completing the square for x² - 14x and y² + 10y.

Complete the square by dividing each term -14x and 10y in two. Then square each.

-14/2 = -7 and -7² = 49

10/2 = 5 and 5² = 25

The equation becomes x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.

We simplify the equation into (x-7)² + (y + 5)² = 324.

324 is the value of radius squared. Take the square root to find the radius.

√324 = 18

The radius is 18 units.

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PSYCHO15rus [73]
You would be correct on that answer because for each hour it travels 200 miles so you would multiply 200 times h
6 0
3 years ago
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Eduardwww [97]

Answer:

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Step-by-step explanation:

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A. Dylan's

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3 0
3 years ago
write the equation of a line that is parallel to y = - 3/2 x -1 and that passes through the point (4,6)​
maria [59]

Answer:

Step-by-step explanation:Given Equation of line has slope m=-3/2

So the line passing through (4,6) has the same slope because both are parallel

From slope intercept form we have

y-y1=m(x-x1)

y-6=-3/2(x-4)

y-6=-3/2x +3/2(4)

y=-3/2x+12

2y=-3x+24

3 0
3 years ago
Given the following functions f(x) and g(x), solve (f+g)(3) and select the correct answer bellow f(x)=6x+3. G(x)=x-7
Likurg_2 [28]

Answer:

17

Step-by-step explanation:

I would just solve them individually for 3 and then add them together. f(x)=6(3)+3 = 21 and g(x)= 3-7= -4

(f+g)(3) = 21-4= 17

5 0
3 years ago
Drag a description to match each equation.
AnnZ [28]

Given:

The descriptions and equations. The equations are

y=4x

y=x+4

To find:

The correct description for each equation and match them.

Solution:

We know that, "+" is used for more and "×" is used for times.

Additive: y is 4 more than x.

y=x+4

Additive: x is 4 more than y.

x=y+4

Multiplicative: y is 4 times x.

y=4x

Multiplicative: x is 4 times y

x=4y

Therefore, the correct description for the equation y=4x is "Multiplicative: y is 4 times x " and the correct description for the equation y=x+4 is "Additive: y is 4 more than x. "

4 0
3 years ago
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