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hram777 [196]
3 years ago
7

A line passes through the points (-4,5) and (4,1).

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Hey there!

Use the slope formula.

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

Plug in the points. (-4,5) and (4,1)

m= (1-5)/(4-(-4)

m= -4/4+4

m=-4/8

m=-1/2

To find the y-intercept, first plug it into the the point slope. You just need one set of points for this, I will use (4,1)

y-y1=m(x-x1)

y-1= -1/2(x-4)

y-1=-1/2x+2

Add 1 to the other side.

y= -1/2x+3

The 3 is your y-intercept. It is in slope intercept form now. (y=mx+b) The b is the y-intercept.

The equation of the line is usually represented by the slope intercept form, which you already have: y=-1/2x+3.

I hope this helps!

~kaikers

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Answer: Correct me if I’m wrong but the answer should be 6,000 kg

Step-by-step explanation:

If you multiply 50 by 120 you get 6,000 or you can multiply 50 by 20 which equals to 1,000 and then do 1,000 multiplied by 6 and you get ur answer (this should be correct)

5 0
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Determine the equation of a line in standard form that represents alanas training progress. Her progress points corresponds to t
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Answer:

The equation of the line passing through the above points is:

y=-\frac{1}{2}x+\frac{29}{2}

Step-by-step explanation:

Given:

The two points are: (x_1,y_1)=(1,14)\textrm{ and }(x_2,y_2)=(9,10)

The equation of a line when two points are given is:

y-y_1=\left (\frac{y_2-y_1}{x_2-x_1} \right )(x-x_1)

Plug in all the values and simplify.

y-14=\left (\frac{10-14}{9-1} \right )(x-1)\\y-14=\left (\frac{-4}{8} \right )(x-1)\\y-14=-\frac{1}{2}(x-1)\\y-14=-\frac{1}{2}x+\frac{1}{2}\\y=-\frac{1}{2}x+\frac{1}{2}+14\\\\\\y=-\frac{1}{2}x+\frac{29}{2}

Therefore, the equation of the line passing through the above points is:

y=-\frac{1}{2}x+\frac{29}{2}

8 0
4 years ago
If one out of 10 people are left-handed, how many
FrozenT [24]

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Marshall is comparing introductory rates for two different video streaming services. He can pay $22.50 for the first 3 months wi
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4 0
4 years ago
Read 2 more answers
Question 1
Airida [17]

Answer:

a) There are Total 25 Question on the test.

    Each question is worth 4 points.

b) Your friend answered 19 questions correctly.

Step-by-step explanation:

Given:

Question answered =24

Percent earn = 96%

Total point test = 100

We will first solve for part a.

We need to find Total Question on the test and Points worth each question.

Now We know that percent earn is equal to Question answered divided by Total Question on test and ten multiplied by 100.

Framing in equation form we get;

Percent\ earn = \frac{\textrm{Question Answered}}{\textrm{Total question on test}}\times 100\\ \\\textrm{Total question on test} = \frac{\textrm{Question Answered}}{\textrm{Perecent earned}}\times 100

Substituting the given values we get;

Total question on test = \frac{24}{96}\times 100 =25

Hence There are Total 25 Question on the test.

Now we will find each question worth points.

each question worth points can calculated by dividing Total Point test with total number of question on the test.

Framing the equation we get;

each question worth points = \frac{100}{25} = 4\ points

Hence Each question is worth 4 points.

Now Solving for part b.

Given:

Percent earn by friend = 76%

we need to find number of question answered correctly.

question answered correctly = \frac{\textrm{Percent earned by friend}\times \textrm{Total Number of question}} {100}

Substituting the values we get;

question answered correctly = \frac{76\times 25}{100} = 19

Hence Your friend answered 19 questions correctly.

7 0
4 years ago
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