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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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The answer would be 1/2

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3 years ago

If 70 is decreased by 50%, what is the new amount

Serga [27]

Answer:

Step-by-step explanation:

70 × 0.5 = 35

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3 years ago

Read 2 more answers

Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

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2 years ago

Show two ways to multiply 2/15 x 3/20. Then tell wich way is easier and justify your choice

Radda [10]

The easier way to multiply 2/15 by 3/20 will simply be by multiplying the numerators and denominators.

In order to multiply 2/15 x 3/20, we can simply multiply the numerator and the denominator. This will be

= 2/15 × 3/20

= 6/300

= 1/50

Also, in order to multiply the fractions, we can change them to decimal first. This will be:

= 2/15 × 3/20

= 0.133 × 0.15

= 0.01995

In conclusion, multiplying the numerators and denominators is easier and faster.

Read related link on:

brainly.com/question/25328409

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2 years ago

Help this is due tomorrow

Helen [10]

-4.4(s - 2) + 6.9s = 14.8

Distribute -4.4 into the parenthesis:

-4.4s + 8.8 + 6.9s = 14.8

Combine like terms:
2.5s + 8.8 = 14.8

Subtract 8.8 from both sides of the equation:

2.5s + 8.8 - 8.8 = 14.8 - 8.8

2.5s = 6

Divide both sides by 2.5:

2.5s/2.5 = 6/2,5

s = 2.4

s =

6 0

2 years ago