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Alenkasestr [34]
3 years ago
7

Which of the following is true about the expression 5 × 1/4

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

5 * 1/4

5/1 * 1/4

5/4

The expression results in an improper fraction.

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Find the slope of the line that is ​(a) parallel and ​(b) perpendicular to the line through the pair of points.
ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m=\frac{-1}{4}

Step-by-step explanation:

Step1:-

<u>Slope of a line</u><u> :-</u>

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

<u>Parallel lines:-</u>

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

<u>Perpendicular lines:-</u>

<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

<u>Step 2</u>:-

a)The slope of a line when given two points (-1,-4) and (0,0)

m = \frac{0-(-4)}{0-(-1)} =4

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

m_{1} = m_{2}

Therefore the slope of the line that is parallel to the another line

m_{1} =m_{2} =4

<u>Step 3</u>:-

b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

m_{2} =\frac{-1}{4}

Therefore the slope of the line is perpendicular to the another line is

m=\frac{-1}{4}

3 0
3 years ago
Read 2 more answers
The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase &amp; Co. JP Morgan Chase &amp; Co.'s r
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Answer:

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Step-by-step explanation:

a+j=77.8

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a+j=77.8

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2j=48.8

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a+24.4=78.8

a=53.4

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Answer:

A.

Step-by-step explanation:

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TiliK225 [7]

Answer:

Option 3

Step-by-step explanation:

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