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2 years ago

Which of the following answer choices is an equation for the circle with a center of (-2, 3) and a radius of 3?

Mathematics

1 answer:

mamaluj [8]2 years ago

5 0

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 2, 3) and r = 3 , then

(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL

x² + 4x + 4 + y² - 6y + 9 = 9 ( subtract 9 from both sides )

x² + y² + 4x - 6y + 4 = 0 → A

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Where is the opposite of 8 located on a number line?

Rus_ich [418]

A) to the left of 0

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3 years ago

Read 2 more answers

Your bank balance decreased by $9.54 on Monday, and you made a $17.23 deposit on Tuesday. On Wednesday, you spent $4.67 from you

QveST [7]

Answer: $9.54 +$17.23 = $26.77

$26.77. - $4.67= $22.10

$22.10 - $19.50 = $2.60

2.60+ $10.75 = $13.35

Step-by-step explanation:

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2 years ago

20y-10x=5 in slope intercept form can you explain the steps

Studentka2010 [4]

Given:

The equation is

$20y-10x+5$

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

$y=mx+b$

Where, m is slope and b is the y-intercept.

We have,

$20y-10x=5$

We need to isolate y. Add 10x on both sides.

$20y-10x+10x=5+10x$

$20y=5+10x$

Divide both sides by 20.

$\dfrac{20y}{20}=\dfrac{5+10x}{20}$

$y=\dfrac{5}{20}+\dfrac{10x}{20}$

$y=\dfrac{1}{4}+\dfrac{x}{2}$

$y=\dfrac{1}{2}x+\dfrac{1}{4}$

Therefore, the slope intercept form of the given equation is $y=\dfrac{1}{2}x+\dfrac{1}{4}$ .

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2 years ago

The equation of line v is y = -x + 9. Line w, which is perpendicular to line v, includes the

Oduvanchick [21]

Answer:

y=x+1

Step-by-step explanation:

In order to find the slope that is perpendicular to a given line, you have to take the fraction form (-1/1), flip it (1/-1), and give it an opposite sign (1/1). Now since we now know our slope we can draw y=x to find what do we have to add. Since y=x crosses (2,2), we know we have to add 1 to the equation in order to bring it to (2, 3).

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2 years ago

Find two consecutive integers such that the smaller integer is six more than twice the larger integer

ZanzabumX [31]

Let the integers be x and x+1.

x = 6 + 2(x + 1)

x = 6 + 2x + 2

x = -8

Hence, the integers are -8 and -7.

8 0

2 years ago