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Elena L [17]
3 years ago
7

The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
7 0

Answer:

1.05 inches

Step-by-step explanation:

As the  stretch varies directly  with the amount of weight it means that a decrease in weight result in a proportional decrease of stretch.

stiks02 [169]3 years ago
7 0

Answer:

The spring will stretch 1.05 inches.

Step-by-step explanation:

The amount a spring will stretch varies directly with the amount of weight attached to the spring.

Let the spring stretches x inches when 40 pound is attached.

we get the following relation;

\frac{2.1}{80} =\frac{x}{40}

=> 80x=2.1\times40

=> 80x=84

x = 1.05 inches

Hence, the spring will stretch 1.05 inches.

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Dafna11 [192]
<h3>Answer:  PC = 5</h3>

================================================

Work Shown:

AB+BC+CD = AD .... segment addition postulate

BC+BC+CD = AD ... replace AB with BC (since AB = BC)

BC+BC+BC = AD ... replace CD with BC (since BC = BC)

3*BC = AD .... combine like terms

3*BC = 12 .... replace AD with 12

BC = 12/3 .... divide both sides by 3

BC = 4

For right triangle PBC, the legs are BP = 3 and BC = 4. We can use the Pythagorean Theorem to find that the hypotenuse is PC = 5

The steps are shown below

(BP)^2+(BC)^2 = (PC)^2

3^2+4^2 = (PC)^2

9+16 = (PC)^2

25 = (PC)^2

(PC)^2 = 25

PC = sqrt(25)

PC = 5

The other parts of the diagram seem to be thrown in as a distraction.

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F(x) =4x2 + 8x -5 factor completely
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An equation of a line with a slope of - 2 and a y-intercept of 2.5 is a
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