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alexandr402 [8]
3 years ago
10

What is the slope of the line that passes through the points (1,7) and (-4,-8)?

Mathematics
2 answers:
frozen [14]3 years ago
7 0

Answer:

D) 3

Step-by-step explanation:

Given: The line passes through the points (1, 7) and (-4, -8)

Here we have to use formula to find the slope.

Slope (m) = (y2 - y1)/(x2 - x1)

Here x1 = 1, y1 = 7, x2 = -4 and y2 = -8

Now plug in these values in the above formula, we get

slope = (-8 - 7) / (-4 - 1)

= -15/-5

slope (m) = 3

Therefore, the slope of the line is 3.

Answer: D) 3

Hope you will understand the concept.

Thank you.

Aleksandr [31]3 years ago
5 0

Answer:

D. 3

Step-by-step explanation:

To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.

All we can do now is insert the values of the points into the equation.

-8-7/-4-1=m

-15/-5=m

3=m

Thus, the slope is 3.

Hope this helps!

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Find the perimeter of a polygon with vertices at A(0, 1), B(4, 4), C(7, 0), D(3, -3), E(-4, -4). Round your answer to the neares
wlad13 [49]

It's interesting that areas from coordinates are much simpler than perimeters from coordinates.  It's almost like math is telling us area is more fundamental than length.

p = AB+BC+CD+DE+EA

We use the Pythagorean theorem, square root form, on all the sides.  We can skip a lot of the square roots because most of these are the hypotenuse of a 3/4/5 right triangle.

B-A=(4-0, 4-1)=(4,3) so length AB=5

C-B=(7-4,0-4)=(3,-4), so again  BC=5

D-C=(3-7, -3-0)=(-4,-3) so again CD=5

E-D=(-4-3, -4 - -3) = (-7, -1).  Ends our streak.  DE=√(7²+1²)=√50=5√2.

A-E=(0 - -4,1 - -4)=(4,5) so EA=√(4²+5²)=√41.

Three of five were 3/4/5.

p = 5+5+5+5√2+√41 = 15+5√2+√41

I hate to ruin a nice exact answer with an approximation.

p ≈ 28.474192049298324

Answer: 28.47, last choice

8 0
3 years ago
Determine a rational number that is located between -2 1/4 and -2.8
Kipish [7]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
How do you solve 6<_2g?
horrorfan [7]
Divide both sides by 2 to isolate variable g. 

You're left with 6 / 2 < g which equals 3 < g. 
3 0
3 years ago
Julian is trying to decide on a future career. He has narrowed down his choices to orthodontist, sound engineering technician, p
Alenkasestr [34]

Percentage is the way to represent the part of a whole in a fraction of 100.The greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

<h3>Given-</h3>

In the given table we have to find out the percent of the increase in the number of each job to find out the greatest one.

<h3>Percentage</h3>

Percentage is the way to represent the part of a whole in a fraction of 100.

1-Orthodontist-

In 2006 the total number of orthodontists was 9206.

In 2016 the total number of orthodontists was 10214

Percent of increase in this job is,

p_{1} =\dfrac{10214-9206}{9206}\times100

p_{1} =10.94%

Hence, percent of the increase in this job is 10.94 present.

2-Sound engineer technician-

In 2006 the total number of Sound engineer technicians was 16125

In 2016 the total number of Sound engineer technicians was 17864

Percent of increase in this job is,

p_{2} =\dfrac{17864-16125}{16125}\times100

p_{2} =10.78%

Hence, percent of the increase in this job is 10.78 percent.

3-Police officer-

In 2006 the total number of Police officers was 648982

In 2016 the total number of Police officers was 719041

Percent of increase in this job is,

p_{3} =\dfrac{719041-648982}{648982}\times100

p_{3} =10.79%

Hence, percent of the increase in this job is 10.79 percent.

4- Editor-

In 2006 the total number of Editors was 122273

In 2016 the total number of Editors was 124135

Percent of increase in this job is,

p_{2} =\dfrac{124135-122273}{122273}\times100

p_{4} =1.52%

Hence, percent of the increase in this job is 1.52 percent.

Hence, the greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

Learn more about the percentage here;

brainly.com/question/21230679

4 0
3 years ago
All sides of the building shown above meet at right angles. If three of the sides measure 2 meters, 7 meters, and 11 meters as s
Svetach [21]

Answer:

Perimeter= 40 units

Step-by-step explanation:

Ok

We are asked to look for the perimeter.

We have some clue given.

All at right angle and some sides are given it's full length.

We have the bae to be 11 unit

The height to be 7 unit.

What this mean is that taking either the base or the height should sum up to either 11 or 7 respectively.

Let's go for the other side of the height.

Let's take all the vertical height and sum it up to 7 because the right side is equal to 7.

So we have 7+7+11

But it's not complete yet.

We are given a dimension 2.

And the 2 is in two places so it's total 2*2= 4

The two is for a small base .

The base is actually an extra to the 11 of the other base.

So summing up

We have 2*11 + 2*7 + 2*2

Perimeter= 22+14+4

Perimeter= 40 units

3 0
3 years ago
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