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rusak2 [61]
3 years ago
11

PLEASE HELP 3. what is the source of the line that contains the coordinate points (8, -3) and (-2, 7)

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

9514 1404 393

Answer:

  -1

Step-by-step explanation:

The slope of a line between two points is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -(-3))/(-2 -8) = 10/-10

  m = -1

The slope of the line is -1.

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24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
kykrilka [37]

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this question, we have that:

(x + 15)^2 + (y - 9)^2 = 25

Comparing both equations:

x - x_0 = x + 15

x_0 = -15

And

y - y_0 = y - 9

y_0 = 9

The center is (-15,9).

For the radius:

r^2 = 25

r = \sqrt{25} = 5

The correct answer is given by option a.

8 0
3 years ago
What is the greatest common factor of 12 and 30?<br> 2<br> 3 <br> 6 <br> 12
Helga [31]

Answer:

6

Step-by-step explanation:

because you list the prime factors of each number then multiply those factors both numbers have in common

6 0
3 years ago
Read 2 more answers
Carly’s bake shop requires 3.5 hours of labor to produce one cake and 2 hours of labor to produce one pie, and the shop has a ma
lyudmila [28]

Step-by-step explanation:

3.5 hours for 1 cake means 3.5 hours per cake.

similar : 2 hours for 1 pie means 2 hours per pie.

so, if there are e.g. 3 pies, they take 3×2 = 6 hours.

therefore the general constraint is

3.5x1 + 2x2 <= 70

I think the names "x1" and "x2" are confusing when writing this inequality.

I prefer to use x and y.

and then it would look like

3.5x + 2y <= 70

6 0
2 years ago
I’m so confused! Can someone help me with this? Please and thank you!
ludmilkaskok [199]

Answer:

D.

Step-by-step explanation:

1) the domain is x∈[0;+∞);

2) the solution is:

\sqrt{x}\leq 10; \ => \ x\leq 100;

3) finally, the solution with the domain is:

x∈[0;100].

7 0
2 years ago
What does it mean to square a number? Provide an example to support your answer.
shutvik [7]

Answer:

When squaring a number it is essentially taking a number and multiplying it by itself. For example, 5^2 is 5×5 (=25).

5 0
3 years ago
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