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hoa [83]
2 years ago
6

What is the solution to the system of equations? Use any method you like, but be sure to show all work.

Mathematics
1 answer:
Len [333]2 years ago
6 0
2x + y = -3
x - 2y = -4

2x + y = -3
2x - 4y = -8
----------------
5y = 5
y= 1

2x + y = -3
2x + (1) = -3
2x = -4
x = -2

Solution: x = -2, y = 1
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Answer:

For the first one, just make sure the sides add up correctly and include the sides it gives. The prism will be 9x1x8 = 82 inches cubed.

Step-by-step explanation:

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The following information is known about a loan. Time = 8 years Interest rate = 14% Principal = $1,010 What is the total amount
nadya68 [22]

❤ <em>Hey There!! ❤</em>

<em>The answer is below!!</em>

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Step-by-step explanation:

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3 years ago
Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
lys-0071 [83]

Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
  • Draw a radius that is perpendicular and a bisector through the chord
  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
  • You should get something that looks like  the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.

Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

The 24 inch chord is 5 inches from the center of the circle.

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1 year ago
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