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2 years ago

What is the equation of a circle with a center of (-2, -1) and radius of √2?

Mathematics

2 answers:

sasho [114]2 years ago

8 0

Answer: Answer is 2 can I get brainliest pls

Step-by-step explanation: Have a good one

lesantik [10]2 years ago

3 0

Answer:

(x + 2)² + (y + 1)² = 2

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, - 1) and r = $\sqrt{2}$ , thus

(x - (- 2))² + (y - (- 1))² = ( $\sqrt{2}$ )², that is

(x + 2)² + (y + 1)² = 2 ← equation of circle

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Write the linear function for the given function values.<br> f(-2)=9 and f(6)=7

BigorU [14]

Answer:

$y = -\frac14x + 8.5$

Step-by-step explanation:

Hello!

A linear function is written in the form of $y = mx + b$ , where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

<h2>Slope</h2>

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

$\frac{9 - 6}{-2 - 6}$
$\frac{2}{-8}$
$-\frac14$

The slope is -1/4.

<h2 /><h2>Y-intercept</h2>

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

$y = mx + b$
$9 = -\frac14(-2) + b$
$9 = 0.5 + b$
$8.5 = b$

<h2>Equation</h2>

We can find the equation by simply plugging in all the values that we found.

Equation: $y = -\frac14x + 8.5$

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Step-by-step explanation:

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