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natali 33 [55]
3 years ago
13

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

Mathematics
1 answer:
harina [27]3 years ago
8 0

Answer:

The answer to your question is:

             (x - 5)² + (y + 4)² = 10²     or         (x - 5)² + (y + 4)² = 100

Step-by-step explanation:

Data

Center (5, - 4)

Point ( -3 , 2)

Formula

d = √ ((x2- x1)² + (y2 - y1)²)

(x - h)² + (y - k)² = r²

Process

Radius

d = √ ((-3 - 5)² + (2 + 4)²)

d = √ ((-8)² + (6)²)

d = √ 64 + 36

d = √100

d = 10 units

Circle

                           (x - 5)² + (y + 4)² = 10²

                             (x - 5)² + (y + 4)² = 100

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Crank

Answer:

D. b = r+z

Step-by-step explanation:

Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;

b-r+r = z+r

Since -r+r = 0, substitute:

b+0 = z+r

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Hence option D is correct

6 0
3 years ago
What is the slope of the line?
Basile [38]

Answer:

\boxed { \frac{1}{2} }

Step-by-step explanation:

We can find the slope by using rise over run.

Given the coordinate points that are part of the graph.

(1,4) \\ ( - 1,3)

m =  \frac{ 4 - 3}{1 - ( - 1)}  \\ m =  \frac{1}{1 + 1}  \\ m =  \frac{1}{2}

Therefore the slope is 1/2.

3 0
3 years ago
Read 2 more answers
Jack’s shipping company has to transport boxes of industrial nuts and industrial bolts to its clients. Each box of industrial nu
Ipatiy [6.2K]

Answer:

The correct option is B.

Step-by-step explanation:

Let the boxes of nuts be x and the boxes of bolts by y.

The weight of nut box is 100 kg and the weight of bolt box is 200 kg.The maximum weight the company’s cargo container can hold is 24,000 kilograms.

100x+200y\leq 24000

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The company needs to transport a minimum of 160 boxes per cargo container.

x+y\geq 160                             .... (2)

Plot the above inequalities on the coordinate plane.

The related equations are

x+2y=240                        .... (3)

x+y=160                           .... (4)

The x-intercept of equation 3 is (240,0) and the y-intercept is (0,120).

The x-intercept of equation 4 is (160,0) and the y-intercept is (0,160).

Check the inequality by (0,0).

0+2(0)\leq 240

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This statement is true, therefore the shaded region of inequality (1) contains (0,0).

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This statement is false, therefore the shaded region of inequality (2) does not contains (0,0).

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4 0
3 years ago
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