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sashaice [31]
3 years ago
13

What is (-4,5) and (8,-1)

Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

Answer:

the slope-intercept equation of a line that passes through the coordinate (-4,5) and (8,-1) is

y  =  - 0.5x + 3

Step-by-step explanation:

1) Apply the slope formula; y^2 - y^1 divided by x^2 - x^1

y^2 is -1

y^1 is 5

x^2 is 8

x^1 is -4

-1 - 5 = -6

8 - (-4) = 12

-6/12 is -1/2 or -0.5

2) To find the y-intercept, hoose either of the coordinates and replace y, m, and x in the y= mx+b formula.

5= -0.5(-4) + b

5= 2 + b

3= b

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the length of a rectangle is 9 inches less than twice the width. if the perimeter of the rectangle is 84 inches, find the dimens
Alexus [3.1K]

translate each statement into mathematical language

 

length is nine inches less than twice width.    L = 2W - 9

perimeter is 84 inches                                   2L +2W = 84

 

Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing

 

2(2W-9) + 2W = 84

 

4W - 18 + 2W = 84

 

(4W+2W) = 84+18  

6W =  102

W = 102/6 = 51/3

 

L = 2(51/3) - 9

= L= 17-9

L=6

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
The sum of three consecutive integers is 114. what are the three integers?
RSB [31]

Answer: 37, 38, and 39

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.

3 consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.

X + X + 1 + X + 2 = 114

We can simplify on the left side by combining the X's and the numbers.

3x + 3 = 114

      -3     -3   ← <em>subtract 3 from both sides of the equation</em>

3x = 111

÷3    ÷3   ← <em>divide both sides of the equation by 3</em>

<em> </em>X = 37

X ⇒ <em>first integer   = 37</em>

X + 1 ⇒ <em>second integer   = 38</em>

X + 2 ⇒ <em>third integer   = 39</em>

<em />

<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>

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This is written in slope intercept form, or y=mx+b, where m is slope and b is y intercept. Just look at the values that represent m and b to find the answer.

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3 years ago
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Answer:

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