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earnstyle [38]
3 years ago
6

Please help me with this question

Mathematics
2 answers:
Mrrafil [7]3 years ago
4 0

Answers: Options A and D

Aleks04 [339]3 years ago
3 0

Answer:

A. The slope of m is -2/5

and

D. The slope of p is -5/2

Step-by-step explanation:

The slope is defined as the "change in y" over the "change in x" of a line. If you pick two points on a line --- (x1,y1) and (x2,y2) --- you can calculate the slope by dividing y2 - y1 over x2 - x1.

Line m goes through the points (-2,7) and (3,5). Slope = (y2 - y1)/(x2 - x1) = (5 - 7 )/(3 - -2) = -2/5

Line q goes through the points (6,15) and (0,0). Slope = (y2 - y1)/(x2 - x1) = (0 - 15 )/(0 - 6) = -15/-6 = 2.5 = 2 1/2 = 5/2

Line n goes through the points (-5,0) and (0,-2). Slope = (y2 - y1)/(x2 - x1) = (-2 - 0 )/(0 - -5) = -2/5

Line p goes through the points (6,15) and (10,5). Slope = (y2 - y1)/(x2 - x1) = (5 - 15 )/(10 - 6) = -10/4 = -2.5 = -2 1/2 = -5/2

Therfore the only true options are A and D

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Slope is rise over run, aka change in y divided by change in x:


m = \dfrac{2 - 4}{2 - 0} = \dfrac{-2}{2} = -1


Answer: -1



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A beach toy in the shape of a pyramid has a rectangular base with dimensions of 4 inches by 12 inches. The height of the rectang
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7 0
2 years ago
|7m–56|, if m&lt;8 write without using absolute value
Ilia_Sergeevich [38]

Answer:

56-7m

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l7m–56l m<8

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56-49= 7  this proves that all we have to do is  switch the order giving us the solution 56-7m

hope this helped :)

4 0
4 years ago
A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3
8_murik_8 [283]

Answer:

Step-by-step explanation:

Let x be the wait times before a call is answered in phone calls.

The claim is x bar <3.3 minutes

Sample size n =62

Sample mean - x bar = 3.24 minutes

Population std dev =\sigma = 0.40 minutes\\

Since population std dev is known and also sample size is sufficiently large, we can use Z test.

H_0: x bar = 3.3\\H_a: x bar

(one tailed test)

Mean difference = 3.24-3.3 = -0.06 min

Std error of sample =\frac{\sigma}{\sqrt{n} } =\frac{0.40}{\sqrt{62} } \\=0.0508

Z = tset statistic = \frac{-006}{0.0508} \\\\=-1.18

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Since p value > alpha, we accept null hypothesis.

There is no evidence to support the claim at alpha = 0.08

3 0
3 years ago
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