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Leni [432]
3 years ago
8

Which equation represents a circle whose center is located at (- 6, 2) and whose radius is sqrt(10) units?

Mathematics
1 answer:
azamat3 years ago
7 0

Answer:

{(x  + 6)}^{2}  +  {(y - 2)}^{2}=10

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r, is

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

From the question, the center of the circle is located at (-6,2) and the radius is

r =  \sqrt{10}

We substitute the center and radius to get:

{(x -  - 6)}^{2}  +  {(y - 2)}^{2}  =  {( \sqrt{10} })^{2}

Simplify to obtain:

{(x  + 6)}^{2}  +  {(y - 2)}^{2}=10

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Please write an equation
Katen [24]

Answer:

y = \frac{3}{4} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = \frac{5-2}{4-0} = \frac{3}{4}

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = \frac{3}{4} x + 2 ← equation of line

4 0
2 years ago
The product of two consecutive integers is 90. Which equation can be used to find the two integers?
joja [24]
Two consecutive integers would be x and x+ 1
if you multiply them you have x(x + 1) = x^2 + x
if you want the product to equal 90 you get x^2 + x = 90
The first option is correct.
3 0
3 years ago
Please help!!<br> find h(8)-f(-7)
kari74 [83]
Close all yours tabs
6 0
3 years ago
Can some one help me im confused
LekaFEV [45]
1) first one....90-27=63°
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so...go for it !!!
4 0
3 years ago
Read 2 more answers
One number is 14 more than another. the sum of two numbers is 20. find the numbers.
patriot [66]

The number is 6 because 14+6=20 and 6 is less than 14. Hope this helps.

4 0
3 years ago
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