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I am Lyosha [343]
3 years ago
13

Mark drove 330 miles. It took him 6 hours to drive this distance. What was Mark's average speed?

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

The Mark's average speed was 55\frac{miles}{hour}

Step-by-step explanation:

we know that

To find out the average speed, divide the total distance by the total time

Let

s -----> the average speed in miles per hours

x ----> the total distance in miles

y ----> the total time in hours

s=\frac{x}{y}

we have

x=330\ miles

y=6\ hours

substitute

s=\frac{330}{6}=55\frac{miles}{hour}

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Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

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\sf\longrightarrow 3x - 2y +7=0

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Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

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Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

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Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

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