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kirill115 [55]
3 years ago
13

Which equation represents a circle with a center at -3, -5) and a radius of 6 units?

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

(x+3)²+(y+5)² = 36

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given

Centre (-3, -5)

a = -3 and b = -5

radius r = 6units

Substitute

(x-a)²+(y-b)² = r²

(x-(-3))²+(y-(-5))² = 6²

(x+3)²+(y+5)² = 36

hence the required equation is (x+3)²+(y+5)² = 36

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yaroslaw [1]

step-by-step.

x

3

+10=15

Step 1: Simplify both sides of the equation.

1

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x+10=15

Step 2: Subtract 10 from both sides.

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x+10−10=15−10

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x=5

Step 3: Multiply both sides by 3.

3*(

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Answer:

x=15

8 0
3 years ago
Your college roommate receives a pay raise at her part-time job from $9 to $11 per hour. She used to work 25 hours per week, but
Fynjy0 [20]

Answer:

d. backward sloping.

Step-by-step explanation:

The roommate receives a pay raise at her part-time job from $9 to $11 per hour and now decides to work 20 hours per week instead to 25 hours per week.

We can see that her rate is decreasing, so her labor supply curve is backward sloping or also called backward bending.

It is mostly found that worker's labor supply curve, slopes upward when they get lower wages and the curve bends backward when they get higher wages because a worker tends to work less when his wage rate rises.

6 0
3 years ago
Find the midpoint of the segment having endpoints (0 ,1/8) and (-4/5 ,0)
kvasek [131]

Answer:

Mid point of the given end points = (\frac{-2}{5},\frac{1}{16} )

Step-by-step explanation:

Given the end points of the line segment are :

(0, \frac{1}{8}) & (\frac{-4}{5},0)

We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)

mid point = (\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )

now put the value of x₁ = 0

x₂ = \frac{-4}{5}

y₁ = \frac{1}{8}

y₂ = 0

mid point = (\frac{0-\frac{4}{5} }{2},\frac{\frac{1}{8}+0 }{2})

                = (\frac{-2}{5},\frac{1}{16} )

That's the final answer.

3 0
3 years ago
ricardo has 2 cases of video games with the same number of games in each case. he give 4 games to his brothers.ricardo has 10 ga
BARSIC [14]
His brothers have 4 games
He had 10 games
So in total there are 14 games
And if there are 2 cases and each one had the same amount, then in each one there would be 14÷2=7

In each case, there are 7 games.
8 0
3 years ago
Solve the equation below 8x - 2 (x + 5) = 2 (x - 1)
Genrish500 [490]

Answer:

x = -3

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8 0
3 years ago
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