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3 years ago

Write an equation of the line that passes through (−2,3) and (0,8).

Mathematics

1 answer:

nasty-shy [4]3 years ago

4 0

Answer:

$y = \frac{5}{2}x + 8$

Step-by-step explanation:

(-2 , 3 ) ; (0 , 8)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}$

m = 5/2 ; (0 , 8)

Equation: y -y1 = m(x -x1)

$y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8$

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Answer:

Step-by-step explanation:

Let y = length of side parallel to the side with no fence

x = length of each of the other two sides

Then, y+2x = 64. So, y = 64-2x

Area = A = xy = x(64-2x)

The graph of the area function is a parabola opening downward with a highest point and with x-intercepts (0,0) and (32,0).

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So, the area is maximized when x = 16 ft

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To maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.

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Long N. answered • 10/06/16

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For the fixed given perimeter, the maximum area which can be obtained is a square.

So for 3 sides= 64 feet

one side = 64/3

The maximum area is 64/3*64/3 square feet

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3 years ago

The results of a poll show that the true proportion of students who prefer the new schedule is likely in the interval (0.195,0.2

mojhsa [17]

The point estimate of the proportion of students who prefer the new schedule is 0.22.

Definition of Point Estimate

Point estimation is a technique used in statistics to determine a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic, known as the point estimate. More precisely, in order to produce a point estimate, we apply a point estimator to the data.

For the confidence interval (0.195, 0.245), point estimate is calculated as follows,

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Hence, the point estimate of the proportion of students who prefer the new schedule comes out to be 2.2.

Learn more about point estimate here:

brainly.com/question/17514579

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2 years ago

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<span>your question isn't very clear, but I'll try to answer

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3 years ago

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3 years ago

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PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

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3 years ago

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