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irinina [24]
3 years ago
12

a rectangle has a length that is 5 inches grater than is width and is area is 104 square inches, The equation (x+5) x=104 repres

ent the situation, where x represents the width of the retangle
Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

width = 8 inches; length = 13 inches

Step-by-step explanation:

(x + 5)x = 104

x^2 + 5x - 104 = 0

(x - 8)(x + 13) = 0

x - 8 = 0 or x + 13 = 0

x = 8 or x = -13

Since the width of a rectangle cannot be a negative number, we discard the answer x = -13.

x = 8

The width is 8 inches.

The length is 8 + 5 = 13.

The length is 13 inches.

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In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

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3 years ago
2. What is the equation of the line that passes through (4, -5) and (6, -9)?
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Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning.
lisabon 2012 [21]

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Step-by-step explanation:

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Read 2 more answers
Jim and Martha are standing together at the corner of a rectangular field. Jim walks diagonally across the field. Martha gets to
IgorC [24]

Answer:

Matha - Jim = 200 feet.

Step-by-step explanation:

<em><u>Jim's distance</u></em>

J = sqrt(w^2 + L^2)

  • w = 300
  • L = 400

J = sqrt(300^2 + 400^2)

J = sqrt(900 + 1600)

J = sqrt(2500)

J = 500

<em><u>Martha's distance</u></em>

M = 300 + 400

M = 700 Feet

Answer

M - J = 700 - 500 = 200

Jim walks 200 feet less than Martha.

7 0
3 years ago
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