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Temka [501]
2 years ago
15

What is the solution to the system of equations below?

Mathematics
2 answers:
Nutka1998 [239]2 years ago
6 0
Answer: (-6,8)
Explanation:
natima [27]2 years ago
4 0
A) (-6,8)
i used the substitution method
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I don’t understand Please help!
AlekseyPX

Answer:

The answer is water.........

5 0
3 years ago
Joe went to the store and bought 4 cans of peanuts for $7.80 .What is the constant of proportionality? (explain what you do to s
Irina-Kira [14]

Answer:

84

Step-by-step explanation:

3 0
2 years ago
What is -18.278-(6.8)
Nastasia [14]

your answer would be -25.078

i hope this helps.!

5 0
3 years ago
9: Part A The diameter of a circle is 63 centimeters. ​Find its circumference. ​Use π=3.14. ​ A 31.5 centimeters B 98.91 centime
BaLLatris [955]
Part A:
The circumference of the circle is 197.92.

Explanation:
The formula for circumference of a circle is C=2 πr. If you insert the numbers, it would be C=2 x 3.14 x 31.5. Hence, the answer is 197.92.

Part B:
The area is 3117.25 square cm.

Explanation:
The formula for area of a circle is A= πr ². Inserting the numbers, it is A=3.14 x 31.5 ². Therefore the answer is 3117.25 cm ².
6 0
3 years ago
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
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