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4 years ago

Find the equation of the line graphed below. Write the equation in the form y=mx+b and identify m and b.

Mathematics

1 answer:

TEA [102]4 years ago

6 0

Answer:

m = 1/2 and b = 1.

Step-by-step explanation:

The y intercept (b) is at y = 1 so we have

y = mx + 1 so b = 1

The m is the slope of the line.

The graph passes through the point (4, 2)

From the graph, the slope = 2/4 = 1/2.

So it is y = 1/2x + 1.

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A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rov

miskamm [114]

Using a system of linear equations, the distance between points A and B is 6000 cm

Initial speed = 4cm/sec

Time taken = Distance / speed

Let ; distance = d

To time :

t = d / 4
4t = d ______(1)

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

Learn more : brainly.com/question/14000187

6 0

3 years ago

Read 2 more answers

A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s

mojhsa [17]

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

$\tan( \alpha ) = \frac{34}{122}$

$\alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57$

3 0

3 years ago

The speed you are going determines the distance you travel before coming to a complete stop after pressing the brake.

notka56 [123]

Answer: A and D

Step-by-step explanation:

4 0

3 years ago

I'm gonna cry I don't get this

snow_tiger [21]

Answer:

d=14

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

so the answer is d=14

6 0

2 years ago

Read 2 more answers

Tia is planning a sailing party for her friends. The boat rental is $150 plus an

mars1129 [50]

Answer:

16 people

Step-by-step explanation:

First subtract the cost of the rental from the amount of money:

$400-$150 = $250

Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:

$250/$15 = 16.67

Since you can't have 0.67 of a person she can have 16 people go with her.

This can also be modeled by this inequality:

$150 + 15x \leqslant 400$

4 0

3 years ago