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3 years ago

Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).

Mathematics

1 answer:

Burka [1]3 years ago

3 0

Answer:

y = - x - 4

Step-by-step explanation:

A line perpendicular to the line: y = x + 5

must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".

Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:

y = -1 x + b

3 = -1 (-7) + b

then we solve for "b":

3 = 7 + b

3 - 7 = b

b = -4

Now we can write the total equation of the perpendicular line in slope-intercept form as:

y = - x - 4

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The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

gavmur [86]

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

$A_{circle} = \pi r^2$

$\pi r^2 = 46$

$r^2 = \dfrac{46}{\pi}$

$r = \sqrt{\dfrac{46}{\pi}}$

$r = 3.83 ~in.$

surface area of sphere

$SA = 4 \pi r^2$

$SA = 4 \times \pi \times (3.83)^2$

$SA = 184~in.^2$

7 0

3 years ago

200 chairs on 40 rows ___ in each row (answer it please)

Solnce55 [7]

<span>200 chairs on 40 rows _ 5__ in each row

200/40 =5</span>

6 0

3 years ago

Read 2 more answers

According to a recent publication, the mean price of new mobile homes is $63 comma 800. Assume a standard deviation of $7900.

wolverine [178]

Answer:

a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.

b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.

Step-by-step explanation:

In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{n}$

For n=25 we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{25}=7,900/5=1,580$

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.

This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.

If n=50, we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{50}=7,900/7.07=1,117$

4 0

3 years ago

13<img src="https://tex.z-dn.net/?f=13%5Cfrac%7B1%7D%7B4%7D%20%2B2n%3D27%5Cfrac%7B3%7D%7B4%7D" id="TexFormula1" title="13\frac{1

Len [333]

Answer:

7 1/8

Step-by-step explanation:

Assuming that the first 13 was a mistake then the equation would be 13 1/2 + 2n = 27 3/4

subtrace 13 1/2 from 27 3/4

14 1/4

divide by 2

7 1/8

7 0

3 years ago

In a equation, y varies directly as x varies. If y = 84 when x = 14, what is the value of x when y = 120

xeze [42]

Answer:

I would like to say 20 but I'm not sure

4 0

2 years ago