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masya89 [10]
2 years ago
10

Julie was given a new map of New Hampshire to calculate some distances. The scale is 1 inch = 50 miles. How far is Conway from L

ittleton?
Mathematics
1 answer:
Aloiza [94]2 years ago
7 0

Answer:

Conway is 312.50 miles from Littleton

Step-by-step explanation:

Given

Scale: 1\ in = 50\ mi

See attachment

Required

Distance between Conway and Littleton

The scale distance between Conway and Littleton is 6.25 inches.

So, the actual distance is calculated as:

1\ in = 50\ mi

Multiply both sides by 6.25

6.25 * 1\ in = 50\ mi * 6.25

6.25\ in = 312.50\ mi

<em>Hence, Conway is 312.50 miles from Littleton</em>

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Use two points from the graph to check if they are constant. In this case let’s use (0,50) & (2,58)

To find slope you have to do the following.

y2-y1 / x2-x1

Plug in the values, 58-50/2-0
This gives you 4.

When you use two other points, in this case (10,90) (20,130) you get a slope of 4.

This means the slope is 4.

We are trying to get an equation of y=mx+b.
We have slope already which is 4. So now we plug in y=4x + b

Now we need to find b. There is an equation to solve for b. Which is b=y1-m(x1)

But b is the y-intercept so there is already a B which is 50

So the table IS a linear equation and the equation is y=4x+50.
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Step-by-step explanation:

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If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
muminat

Answer:

The expression represents JL is<u> 3x - 2</u>.

Step-by-step explanation:

Given:

JM = 5x – 8 and LM = 2x – 6.

Now, to find expression represents JL.

JM = JL + LM

<em>Subtracting both sides by LM we get:</em>

JM - LM = JL.

JL = JM - LM

Now, putting the expression to get JL:

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JL=5x-8-2x+6

JL=3x-2.

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