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Shalnov [3]
3 years ago
5

What is the degree of f?

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

The degree is 4, because it has 4 zeros.


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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
It's urgent I need help quick pls help me
Stella [2.4K]

Answer:

11

Step-by-step explanation:

16 - 4\sqrt{5} + 4\sqrt{5} - 5

= 16 - 5

= 11

5 0
3 years ago
Help me with solving multi-step equations...13x + 2 = 4x + 38
svet-max [94.6K]
1 Subtract 22 from both sides
13x=4x+38-213x=4x+38−2

2 Simplify 4x+38-24x+38−2 to 4x+364x+36
13x=4x+3613x=4x+36

3 Subtract 4x4x from both sides
13x-4x=3613x−4x=36

4 Simplify 13x-4x13x−4x to 9x9x
9x=369x=36

5 Divide both sides by 99
x=\frac{36}{9}x=
​9
​
​36
​​

6 Simplify \frac{36}{9}
​9
​
​36
​​ to 44
x=4x=4
3 0
3 years ago
Read 2 more answers
I need help trying to do regular divison
Over [174]

The divsion is the one basic sign in mathmatics. And division express by different sign. example, by long division, and fraction sign( / )  

The answer of division problem is quotient.

that means, 6/3=2

The answer two is the quotient.

6 0
3 years ago
Mhanifa please help with this I want to pass! I will mark brainliest! I will report random answers
vlada-n [284]

Answer:

Questions 1 and 3 already answered

<h3>Q2</h3>

<u>Angles 1 and 3 are corresponding angles and therefore have same value:</u>

  • 4x = 112
  • x = 112/4
  • x = 28°
4 0
2 years ago
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