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3 years ago

Suppose the equation for line A is given by 2x = 5y – 25. If line A and B are perpendicular

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

The required equation of line B is 2y+5x=-2

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line

Given the line A expressed as:

2x = 5y – 25

Rewrite in standard form

5y = 2x + 25

y = 2/5 x + 5

The slope will be 2/5

The slope of the perpendicular line will be;

$M = \frac{-1}{(2/5)}\\M = \frac{-5}{2}$

Substitute the point (-6, 14) and slope -5/2 into the equation above to get the required equation of line B

$y-14=-5/2(x+6)\\2(y-14) = -5(x+6)\\2y-28=-5x-30\\2y+5x=-30+28\\2y+5x=-2\\$

Hence the required equation of line B is 2y+5x=-2

Learn more here: brainly.com/question/13140886

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One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.

poizon [28]

Answer:

Mean: $\bar x = 40.61$

$Median =40.2$

$Mode = 43.4$

Step-by-step explanation:

Given

See attachment for data

Solving (a): The mean

Mean is calculated as:

$\bar x = \frac{\sum x}{n}$

From the attached:

$n = 14$

So, the mean is:

$\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}$

$\bar x = \frac{568.58}{14}$

$\bar x = 40.61$

Solving (b): The median

$n = 14$ ; this is an even number. So, the median is:

$Median = \frac{1}{2}(n+1)$

$Median = \frac{1}{2}(14+1)$

$Median = \frac{1}{2}(15)$

$Median = 7.5th$

This implies that the median is the average of the 7th and 8th item.

Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>

The 7th and 8th items are: 40.2 and 40.2

The median is:

$Median = \frac{1}{2}(40.2 + 40.2)$

$Median = \frac{1}{2}*80.4$

$Median =40.2$

Solving (c): The mode

43.4 has the highest number of occurrence.

So:

$Mode = 43.4$

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3 years ago

Which graph represents the solution to this inequality? 16x - 80x < 37 + 27

AlladinOne [14]

Answer: 107

Step-by-step explanation:

1 Remove parentheses.

16x-80<2716x−80<27

2 Add 8080 to both sides.

16x<27+8016x<27+80

3 Simplify 27+8027+80 to 107107.

16x<10716x<107

4 Divide both sides by 1616.

x<\frac{107}{16}x<

107

Done

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3 years ago

Joshua used two wood beams, PC and QA, to support the roof of a model house. The beams intersect each other to form two similar

Sliva [168]

PR : RC = PQ : AC

so,

PQ = 2.8 inches

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3 years ago

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W= 3/4 divided by LH

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1 year ago