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3 years ago

A line is shown in the graph below.

Mathematics

1 answer:

Kay [80]3 years ago

5 0

Answer:

-3/2

Step-by-step explanation:

One can read off the slope of the given line directly from the graph. As x increases by 3, y increases by 2. Thus, the slope of the given line is

m = rise / run = 2 / 3

Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:

-1 3

Slope of perpendicular line = ------------ = - -----

2/3 2

This matches the first of the given possible answer choices.

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What is -87 + (-971)=

MrMuchimi

Answer:

-1058

Step-by-step explanation:

8 0

3 years ago

The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as

lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

Circumference of circle (C) = $2\pi r$ {where r is radius of circle}

= $2 \times \pi \times 8$ {given r = 8 inches long}

= $16 \pi$

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents $\frac{25}{60}$ which is $\frac{5 }{12}$ of the circumference, that means;

The length of arc from time 12:00 to 12:25 = $\frac{5}{12}\times \text {Circumference of circle}$

= $\frac{5}{12} \times 16 \pi$

= $\frac{20}{3} \pi$ = 6.67 $\pi$

Now, assuming value of $\pi$ = 3.14; so 6.67 $\pi$ = $6.67 \times 3.14$ = 20.9 inches (in nearest tenth)

Hence, the tip of the minute hand travels 20.9 inches.

5 0

3 years ago

An item is regularly priced at $85 . it is on sale for 60% off the regular price. how much (in dollars) is discounted from the r

Alex_Xolod [135]

100% - 60% = 40%
40% = 85
1% = 85 / 40
100% = 85/ 40 × 100
100% = $ 212.5.

6 0

3 years ago

An empty truck and a fully loaded truck Are next to each other at a traffic light when the light turned green the lighter truck

Ksenya-84 [330]

<span>C) Newton's second law : Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.</span>

4 0

3 years ago

What is the slope of the line that passes through the points (2, 2), and (4,2)

vfiekz [6]

Answer:

There is no slope. $m=0$

Step-by-step explanation:

$m=\frac{rise}{run}=\frac{2-2}{4-2}=\frac{0}{2}=0$

(2, 2) and (4,2) makes a horizontal line. All horizontal lines on a graph have no slope.

6 0

4 years ago