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vitfil [10]
4 years ago
10

8. Write the slope-intercept form of the equation of the line graphed below. ​

Mathematics
1 answer:
Simora [160]4 years ago
4 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 4.5

y1 = 0.5

x2 = 2

x1 = - 2

Slope,m = (4.5 - 0.5)/(2 - - 2) = 4/4 = 1

To determine the intercept, we would substitute x = 2, y = 4.5 and m= 1,

4.5 = 1 × 2 + c = 2 + c

c = 4.5 - 2 = 2.5

The equation becomes

y = x + 2.5

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What value of "p" will the pair of equations
Nikolay [14]

Answer:

9

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

3 0
3 years ago
A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band m
kodGreya [7K]

Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

<u>First, we determine the systems of equations:</u>

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

<u>Now, we isolate x in one equation, and substitute it in the other one:</u>

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

<u>Prove: </u>

15*100 + 10*50= 2,000

100 + 50 = 150

3 0
3 years ago
Read 2 more answers
If all the dimensions of the rectangular pyramid are multiplied by 1/5, what is the effect on the volume
Pachacha [2.7K]

Answer:

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.

Step-by-step explanation:

A rectangular pyramid has the following dimensions:

length(l), height(h) and width(w)

The volume is:

V = \frac{l*h*w}{3}

If all the dimensions of the rectangular pyramid are multiplied by 1/5

Then we have that:

l = \frac{l}{5}, w = \frac{w}{5}, h = \frac{h}{5}

The modified volume will be:

V_{M} = \frac{\frac{l}{5}*\frac{w}{5}*\frac{h}{5}}{3} = \frac{\frac{l*w*h}{125}}{3} = \frac{l*h*w}{125*3} = \frac{1}{125}(\frac{l*h*w}{3}) = \frac{V}{125}

So

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 1/125 of the original, that is, 125 times smaller.

4 0
3 years ago
Use the diagram to answer the question.
Firlakuza [10]
D.Q (3,0)
I think
Sorry if wrong
But I am not sure!
8 0
3 years ago
plz help no links or you will get reported and no brainlest meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
leonid [27]

Answer:

49

Step-by-step explanation: no idea i just evaluated like that

5 0
3 years ago
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