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3 years ago

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:

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]

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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

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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:

Step-by-step explanation:

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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. "

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