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Olenka [21]
3 years ago
13

Pls help me and i will know if it is wrong

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

9514 1404 393

Answer:

  90 miles

Step-by-step explanation:

Let d represent the distance to Grandma's house.

The speed going was ...

  speed = distance/time

  speed = d/2

The speed coming home was ...

  speed = d/2.25

The difference of these speeds is 5 miles per hour:

  d/2 -d/2.25 = 5

  2.25d -2d = 5(4.50) . . . . . multiply by 4.50

  0.25d = 22.5 . . . . . . . . . . .simplify

  d = 90 . . . . . . . . . . . . . . . . multiply by 4

Grandma's house is 90 miles away.

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Answer:

72

Step-by-step explanation:

5-4=1

9x1=9

9x2=18

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3 years ago
Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
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Answer:

The equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

Step-by-step explanation:

Given

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  • point = (8, -9)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -5/4 and point = (8, -9)

y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)

y+9=\frac{-5}{4}\left(x-8\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y+9=\frac{-5}{4}\left(x-8\right)

subtract 9 from both sides

y+9-9=\frac{-5}{4}\left(x-8\right)-9

y=-\frac{5}{4}x+1

Therefore, the equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

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