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Agata [3.3K]
3 years ago
8

HELP ME PLEASE!!!!!!!!!!!GIVING BRAINLIEST!!!!!!​

Mathematics
2 answers:
poizon [28]3 years ago
5 0

B. y = \frac{1}{2} x + 1

Aleonysh [2.5K]3 years ago
3 0

Answer:

y = (1/2)x + 1  <---- Answer B

Step-by-step explanation:

In form y = mx + b, m is the slope and b is the y-intercept.

The y-intercept always has an x-coordinate of zero, swe are really asking what is the y-coordinate where the line intercepts the y-axis. Look at the picture. The coordinates where the line intercepts the y-axis are (x, y) = (0, 1).

So the y-intercept is 1.    

b = 1

The slope is the rise (or fall) of the graph as it goes left to right.

We see it goes <u>up</u> 2 units (from y=1 to y=3) in the same interval where it goes to the right 4 units (from x=0 to x=4). So, the rise/run = +2/4 = 1/2.

m = 1/2

Just substitute the values we found for b and m back into "y=mx+b"

y = (1/2)x + 1  <---- Answer B

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A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 120 ft high. Approximate the required work by a
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Exercise (a)

The work done in pulling the rope to the top of the building is 750 lb·ft

Exercise (b)

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Step-by-step explanation:

Exercise (a)

The given parameters of the rope are;

The length of the rope = 50 ft.

The weight of the rope = 0.6 lb/ft.

The height of the building = 120 ft.

We have;

The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;

ΔW₁ = 0.6Δx·x

The work done for the second half, ΔW₂, is given as follows;

ΔW₂ = 0.6Δx·x + 25×0.6 × 25 =  0.6Δx·x + 375

The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375

∴ We have;

W = 2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750

The work done in pulling the rope to the top of the building, W = 750 lb·ft

Exercise (b)

The work done in pulling half the rope is given by W₂ as follows;

W_2 =  \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5

The work done in pulling half the rope, W₂ = 562.5 lb·ft

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brainliest please? :)

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