Logbase(a)b+clogbase(a)d-rlogbase(a)s

Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is

bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is $m=\frac{6-1}{2-3}$

$\implies m=\frac{5}{-1}=-5$ .

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is $m=\frac{4-5}{-2- -2}=\frac{-1}{0}$ = undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is $m=\frac{10-8}{2-0}=\frac{2}{2}=+1$

A positive slope means this line rises

24) The points are (-3,-3), (3,1)

The slope is $m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}$

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: $m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2$

A negative slope means this line falls

26) The points are (-2,-8) , (5,-8).

Slope: $m=\frac{-8--8}{5--2}=\frac{0}{7}=0$

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: $m=\frac{3-2}{5--1}=+\frac{1}{6}$

A positive slope means this line rises

28) The points are: $(\frac{1}{2},4)$ , (-1,4)

Slope: $m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0$

A zero slope means the line is horizontal

29) The points are: $(4,\frac{1}{2}), (5,\frac{1}{4})$

Slope: $m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}$

A negative slope means this line falls.

6 0

4 years ago

What type of association does there appear to be between the variables? explain

Nataliya [291]

Where are the variables for the equation?

3 0

3 years ago

A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?

Alenkasestr [34]

Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
-19 + 15i - (-6 + 2i) = -13 - 13i , so this is not on the circle.
-16 - 22i - (-6 + 2i) = -10 - 24i = |10 + 24i| , so this is on the circle.
5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
20 - 24i - (-6 + 2i) = 26 - 26i. so this is not on the circle.

3 0

2 years ago

For students who first enrolled in two year public institutions in a recent semester, the proportion who earned a bachelor's d

kondaur [170]

Answer:

Null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

Step-by-step explanation:

Given : In a recent semester, the proportion who earned a bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent semester, the proportion who earned a bachelor's degree within six years was<u> 0.395. </u>

Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>

So,null hypothesis = $H_0:p=0.395$

Alternate hypothesis = $H_a:p>0.395$

6 0

3 years ago

a grandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. how

vfiekz [6]

Hello There!

As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.

First, we would create an equation based on what the question says, which would look as:

x + x + 2 = 12

2x + 2 = 12

Subtract two from both sides.

2x = 10

The grand daughter is 5 years old and since the grandson is two years older he is 7.

Thus,

The age of the granddaughter is 5

The age of the grandson is 7

7 0

3 years ago