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2 years ago

What is the x-intercept of y=6x-7

Mathematics

2 answers:

Gnoma [55]2 years ago

8 0

Hello!

The x-intercept of y = 6x - 7 is 1.167.

Hope this helps! ☺♥

ANEK [815]2 years ago

5 0

Answer:
first: solve for X, you can easily do that by plugging in 0 for Y
y*0=6x-7
so in turn
0=6x-7
then you add 7 to each side to get 6x on it's own
0+7=6x-7+7
The sevens cancel out getting
7=6x
divide by 6 on both sides to cancel it out and get X on it's own
7/6=6x/6
the sixes cancel out and your left with
7/6=x
so the x-intercept is (7/6, 0)

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Step-by-step explanation:

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Does anyone know the answer?

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a. θ = 30°

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Step-by-step explanation:

Draw a free body diagram for each scenario (see attached figure). The body has four forces acting on it:

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Normal force perpendicular to the incline
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Remember that friction opposes the direction of motion. So when the body is sliding up, friction points down the incline. And when the body is sliding down, friction points up the incline.

Now apply Newton's second law to each scenario, first in the normal direction, then in the parallel direction.

For sliding up, sum of the forces normal to the incline:

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Sum of the forces parallel to the incline:

∑F = ma

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Substituting the expression for normal force:

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Now for sliding down, sum of the forces normal to the incline:

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And sum of the forces parallel to the incline:

∑F = ma

P₂ + f − mg sin θ = 0

P₂ + Nμ − mg sin θ = 0

Substituting the expression for normal force:

P₂ + mgμ cos θ − mg sin θ = 0

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P₁ − mgμ cos θ − mg sin θ = 0

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P₁ + P₂ − 2 mg sin θ = 0

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Plugging in the values:

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