Determine which line is perpendicular to y = - 7/5x-2.

Mathematics

1 answer:

tatuchka [14]2 years ago

6 0

Answer:

y = 5/7 x - 6

Step-by-step explanation:

For two lines to be perpendicular, the product of their slope must be -1

The slope of the given function is -7/5

Let the slope of the required function be m

m * -7/5 = -1

7/5 m = 1

7 = 5m

m = 5/7

The slope of the line perpendicular to the line is 5/7

The required equation (using any value of the y-intercept) is expressed as;

y = 5/7 x - 6

Note that the y-intercept value was assumed and any value can be used

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Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?

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$\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}$

$\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
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=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}$