Write the equation of the line that passes through the points (4,5) and (4, -6). Put

Graph a direct variation function that goes through the point (-2, -6). what is the slope

Effectus [21]

Answer:

The slope is 3.

Step-by-step explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Substitute and evaluate:

$\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3$

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.

6 0

3 years ago

Read 2 more answers

A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. the perimeter is 42 feet. if the mat

Lorico [155]

Let width = x ft then
2x + 2(2x) = 42
6x = 42
x = 7

so the width is 7 ft and length is 14 ft.

So the cost to build the pen = 14*1.25 + 14*1,25 + 7*2.50 + 7*2.50
= 70 answer

4 0

3 years ago

If tan∅ = √15÷10, find cot∅

Ghella [55]

Answer:

cot(∅) = $\frac{10\sqrt{15} }{15}$

Step-by-step explanation:

tan ∅ and cot ∅ are inverse functions

therefore the inverse of

tan ∅ = √15 / 10

is equal to

cot ∅ = 10 / √15

Rationalizing the denominator

$\frac{10}{\sqrt{15} }$ * $\frac{\sqrt{15} }{\sqrt{15} }$

cot ∅ = $\frac{10\sqrt{15} }{15}$

6 0

3 years ago

25 marble, 5 are red what pecent is that?

CaHeK987 [17]

Answer:

20%

Step-by-step explanation:

To find the decimal answer, we just do 5/25 which is equivalent to 0.2

Then, we multiply 0.2 by 100 to get the percentage:

0.2*100=20

8 0

3 years ago

For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 24 st

Zanzabum

Answer:

a) 68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.

b) 95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.

c) 99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 13 hours

Standard deviation = 2.8 hours.

a) 68% of the students spend between hours and hours on Statistics each week.

Within 1 standard deviation of the mean.

13 - 2.8 = 10.2 hours

13 + 2.8 = 15.8 hours

68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.

b) 95% of the students spend between hours and hours on Statistics each week.

Within 2 standard deviations of the mean

13 - 2*2.8 = 7.4 hours

13 + 2*2.8 = 18.6 hours

95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.

c) 99.7% of the students spend between hours and hours on Statistics each week.

Within 3 standard deviations of the mean

13 - 3*2.8 = 4.6 hours

13 + 3*2.8 = 21.4 hours

99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.

8 0

3 years ago