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timofeeve [1]
3 years ago
11

What is the distance between −131 and −87 on a number line?

Mathematics
1 answer:
Reil [10]3 years ago
7 0
THE distance betweem -131 and -87 is 44 

(-131) - (-87)= 44 

You dont add a negetive sign because you are finding the distance  
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The value of y is directly proportional to the value of x If y=81 when x=54, what is the value of y when x=38
Arisa [49]

Answer:

y = 57

Step-by-step explanation:

y α x

y = kx ; k = Constant of proportionality

81 = k* 54

k = 81/54

k = 1.5

Value of y when x = 38

y = kx

y = 1.5 * 38

y = 57

Hence, y = 57 when x = 38

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3 years ago
Find the midpoint of the line segment given the endpoints.<br><br> (-1, 10) (-1, 6)
BaLLatris [955]

The midpoint of these two points is (-1, 8).

In order to find the midpoint, you must take the average of each part of the coordinates. You do this by adding them together and dividing by 2. We'll start with the x-coordinates.

(-1 + -1)/2 = -1

Now we'll use the y-coordinates.

(10 + 6)/2 = 8

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8 0
3 years ago
14x + 5y = -6<br> Slope intercept form
andrew11 [14]

Answer:

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Read 2 more answers
A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5
Oxana [17]

Answer:

L(x) = 11 - 2x

W(x) = 8.5 - 2x

V(x) = 4x³ - 39x² + 93.5x

Step-by-step explanation:

If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.

FORMULA FOR LENGTH:

Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:

<u>L(x) = 11 - 2x</u>

FORMULA FOR WIDTH:

Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:

<u>W(x) = 8.5 - 2x </u>

FORMULA FOR VOLUME:

Volume is the product of length, width and time:

V(x) = L(x)*W(x)*H(x)

Height must be equal to the side folds which are equal to length of the side of square = x:

H(x) = x

Therefore,

V(x) = (11 - 2x)(8.5 - 2x)(x)

V(x) = (93.5 -22x -17x + 4x²)(x)

<u>V(x) = 4x³ - 39x² + 93.5x</u>

8 0
3 years ago
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