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Ksenya-84 [330]
3 years ago
9

Find the value of r in(4,r) (r,3) so that the slope of the line containing them is 0

Mathematics
1 answer:
Pavel [41]3 years ago
8 0

Answer:

r = 3.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope.

Finding the slope of a line, given two points:

When we are given two points of a line, the slope of the line is given by the change in y divided by the change in x.

Points (4,r), (r,3)

Change in y: 3 - r

Change in x: r - 4

Slope is 0, so:

\frac{3 - r}{r - 4} = 0

3 - r = 0

r = 3

The value is r = 3.

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Answer:

130 calories in the ice cream and 500 calories in the pie.

Step-by-step explanation:

Let the amount of calories in the scoop of ice cream be x. the amount of calories in the piece of pie be 3x-20. we know that x+3x-20=500.

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A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow stude
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The answer is "\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\"

Step-by-step explanation:

Given values:

\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39

Using formula:

\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\

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\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\

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