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Sedaia [141]
3 years ago
13

If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?

Mathematics
1 answer:
ANEK [815]3 years ago
6 0

Answer:

r=4

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

y-(3)=-1(x-(-9))

Simplify:

y-3=-(x+9)

Distribute:

y-3=-x-9

Add 3 to both sides. So, our equation is:

y=-x-6

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

r=-(-10)-6

Evaluate for r. Distribute:

r=10-6

Subtract:

r=4

So, the value of r is 4.

And we're done!

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Natalka [10]
You didn't include the formula.

Given that there is no data about the mass, I will suppose that the formula is that of the simple pendulum (which is only valid if the mass is negligible).

Any way my idea is to teach you how to use the formula and you can apply the procedure to the real formula that the problem incorporates.

Simple pendulum formula:

Period = 2π √(L/g)

Square both sides

Period^2 = (2π)^2 L/g

L = [Period / 2π)^2 * g

Period = 3.1 s
2π ≈ 6.28
g ≈ 10 m/s^2

L = [3.1s/6.28]^2 * 10m/s^2 =2.43 m

I  hope this helps you.
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3 years ago
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5 0
2 years ago
Determine the value of x?
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6 0
2 years ago
60 EXTRA POINTS!!!! I need help with writing an inequality for a graph. It is below. :)
ch4aika [34]

Answer:

The answer to your question is:   y ≥ - x + 6  and   y ≥ x - 4

Step-by-step explanation:

Look of a pairs of points for each graph

Line 1                                                  Line 2

A(0, 6)     B (5, 1)                                 C (7,3)               D(5, 1)

m =  (1- 6) / (5- 0)                               m = (1 - 3) / (5 - 7)  

m = -5/5 = -1                                      m = -2 / -2 = 1

Find  the line equation for each slope   (y - y1) = m (x - x1)

(y - 1) = -1 (x - 5)                                 (y - 1) = 1 (x - 5)

y - 1 = -x + 5                                       y -1 = x - 5

y = -x + 5 + 1                                       y = x - 5 + 1

y = -x + 6                                           y = x - 4

Inequality

y ≥ - x + 6                                          y ≥ x - 4

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