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Leno4ka [110]
3 years ago
15

Jackson drove 1,080 miles in 20 hours. What was his speed in miles per hour?

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

54mph

Step-by-step explanation:

To find the speed in "miles per hour" or miles/hour, divide the number of miles by number of hours.

1080 miles/20 hours

= 54miles/hour

His speed is 54 miles per hour.

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Find the equation of a line that passes through (-5,4) and us parallel to y=-6/7x+3​
irina [24]

Given:

The given equation of line is

y=-\dfrac{6}{7}x+3

To find:

The equation of line that passes through (-5,4) and is parallel to the given line.

Solution:

Slope intercept form of a line is

y=mx+b    ...(i)

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

We have,

y=-\dfrac{6}{7}x+3      ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{6}{7}

Slope of given line is m=-\dfrac{6}{7}.

Slope of parallel lines are same. So, slope of parallel line is m=-\dfrac{6}{7}.

The required line passes through (-5,4) with slope m=-\dfrac{6}{7}. So, the equation of line is

y-y_1=m(x-x_1)

y-4=-\dfrac{6}{7}(x-(-5))

y-4=-\dfrac{6}{7}(x+5)

y-4=-\dfrac{6}{7}x-\dfrac{30}{7}

Adding 4 on both sides, we get

y=-\dfrac{6}{7}x-\dfrac{30}{7}+4

y=-\dfrac{6}{7}x+\dfrac{-30+28}{7}

y=-\dfrac{6}{7}x-\dfrac{2}{7}

Therefore, the correct option is a.

8 0
3 years ago
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