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ikadub [295]
3 years ago
13

Create a list of steps, in order, that will solve the following equation 1/4(x+5)^2-1=3

Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

Add 1 to each side

Multiply each side by 4

Take the square root of each side

Subtract 5 from each side

Combine terms

Step-by-step explanation:

1/4(x+5)^2-1=3

Add 1 to each side

1/4(x+5)^2-1+1=3+1

1/4(x+5)^2=4

Multiply each side by 4

4*1/4(x+5)^2=4*4

(x+5)^2=16

Take the square root of each side

sqrt((x+5)^2)=±sqrt(16)

x+5 = ±4

Subtract 5 from each side

x+5-5 = -5  ±4

x = -5  ±4

Combine terms

x = -5+4       x = -5-4

x = -1            x = -9

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Answer: The base of the ladder to the base of the wall is 4.4 ft

Step-by-step explanation: Please refer to the attached diagram.

If the ladder which measures ten feet is placed against the wall, it's going to tilt at a diagonal. This means the foot of the ladder would lie some distance away from the foot of the wall.

The wall is at a perpendicular with the ground. This also means that we have a right angled triangle. Two sides are known, according to the diagram. One is the hypotenuse (the side which is facing the right angle) which is ten feet, and the other is one of the remaining two sides which is nine feet.

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