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lara31 [8.8K]
3 years ago
12

Hope this is better lol

Mathematics
2 answers:
vladimir2022 [97]3 years ago
8 0

Answer:

thanks

Step-by-step explanation:

taurus [48]3 years ago
4 0

Answer:

1) 5.75

2) -6.25

3) 3.75

4) -3.5

5) decreased by 3.3 gallons

Step-by-step explanation:

1) 8 - 2.25 = 5.25

2) - 3\frac{1}{2}  + (  - 2\frac{3}{4} )

=  >  \frac{ - 7}{2}   +  \frac{ - 11}{4}

=  >  \frac{ - 25}{4}  =6.25

3) 1 \frac{1}{4}  + 2 \frac{1}{2}

=  >  \frac{5}{4}  +  \frac{5}{2}

=  >  \frac{15}{4}  = 3.75

4) - 9.5 + 6 =  - 3.5

5)

Amount of water collected on a month = 8.4 gallons

Amount of water used in garden = 5.2 gallons

Amount of water used in flowers = 6.5 gallons

Total amount of water used up = 5.2 + 6.5 = 11.7 gallons

Dat gurl saved 8.4 gallons in that month & she used up 11.7 gallons water. So, the rainwater supply was decreased by (11.7 - 8.4) = 3.3 gallons

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-3(2x-3)

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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}

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3 years ago
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