All categories

3 years ago

What is the slope of the line that contains the points (-4;2) and (6;-3) ?

Mathematics

1 answer:

tester [92]3 years ago

4 0

Answer:

-1/2

Step-by-step explanation:

First you use to the formula m=y2-y1/x2-x1 and then you get -5/10 or -1/2. (m= slope)

You might be interested in

Drag each tile to the correct box.

Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

$\frac{16-4}{5-3}=6$

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

$b=6$

Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0

3 years ago

Classify a triangle whose side lengths are 8, 16, and 18

icang [17]

Answer:

scalene

Step-by-step explanation:

When all sides aren't equal.

7 0

3 years ago

Angle mIJK=180, angle mIJU = 3x-7, and angle mUJK=17x + 7 find angle mIJU

Andrej [43]

Answer:

The measure of angle IJU is 20 degrees.

Step-by-step explanation:

In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.

(3x - 7) + (17x + 7) = 180 ----> Combine like terms

20x = 180 -----> Divide by 20

x = 9

Now that we have this, we can stick the value into the equation and solve for IJU.

IJU = 3x - 7

IJU = 3(9) - 7

IJU = 27 - 7

IJU = 20

3 0

3 years ago

What is the GCF of 48x4 and 44x5

zepelin [54]

The GCF would be : 4x^4

8 0

3 years ago

Find the volume of the cylinder please all the details are in the picture above !!

Agata [3.3K]

the volume of cylinder is volume of cylinder is for

5 0

4 years ago

Read 2 more answers