All categories

3 years ago

Find the coordinates of the midpoint of EF if E(-2, -8) and F(-12, 6)

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Answer:

(-7,-1)

Step-by-step explanation:

You might be interested in

20.Solve the triangle: b = 100, c = 100, y = 70". If it is not possible, say so.This triangle is not solvable.Q = 40", a = 68.4,

saveliy_v [14]

Answer:

$\begin{gathered} \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \\ a=68.4 \end{gathered}$

Step-by-step explanation:

By the theorem of intern angles of a triangle, we know that the sum of all intern angles of a triangle must be 180°, therefore:

*There are two equal angles because there are two equal sides

$\begin{gathered} \alpha=180-70-70 \\ \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \end{gathered}$

Now, applying the law of sines, we can find side a. The law of sines is represented by the following equation:

$\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}$

Hence, if b=100, alpha=40° and betha=70°, solve for a:

$\begin{gathered} \frac{a}{\sin (40)}=\frac{100}{\sin (70)} \\ a=\frac{100\cdot\sin (40)}{\sin (70)} \\ a=\text{ 68.4} \end{gathered}$

7 0

1 year ago

Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage c

Paraphin [41]

Answer:

$S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),$ $(Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}$

Step-by-step explanation:

Given

$Meal = \{Oatmeal, Eggs, Pancakes\}$

$Beverage = \{Coffee, Tea\}$

Required

Determine the sample space

The sample space is a list of combination of 1 meal and 1 beverage.

Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same

The sample space (S) is as follows:

$S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),$ $(Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}$

8 0

3 years ago

Please help me 80 points for who answers :)

Lana71 [14]

Answer:

the sum of two negative integers is a negative integer. true

the sum of two positive integers is a positive integer. true

to find the sum of a positive and a negative integer take the absolute value of each integer and then subtract these values.

true

the additive inverse of any integer and its opposite is equal to 0. false

The sum of any integer and its opposite is equal to zero.

6 0

4 years ago

Read 2 more answers

can someone help me, Just the answer don’t worry about explaining everything, Im really bad on Math :(

Strike441 [17]

Answer:

a. -2 b. -2 c. -1 d. 4 e. -3 f. 0

Step-by-step explanation:

The average rate of change formula is:

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

We need to find the rate of change for x = -3 to x = -2 so we look on the graph to find y.

At x = -3 it look like y = 0 so

$x_{1} = -3$

$y_{1} = 0$

At x = -2 it looks like y = 2

$x_{2} = -2$

$y_{2} = 2$

Now we can just plug everything in to the rate of change formula.

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{2- 0}{-3-(-2)} = \frac{2- 0}{-3+2} = \frac{2}{-1}$ = -2

So for a. our rate of chage for the given interval is -2

Now that you have the formula we don't need to explain each time.

$x_{1} =$ -2

$y_{1} =$ 2

$x_{2} =$ 1

$y_{2} =$ - 4

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-4- 2}{1-(-2)} = \frac{-4-2}{1+2} = \frac{-6}{3}$ = -2

$x_{1} =$ 0

$y_{1} =$ -3

$x_{2} =$ 1

$y_{2} =$ - 4

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-4-(-3)}{1-0} = \frac{-4 + 3}{1-0} = \frac{-1}{1}$ = -1

$x_{1} =$ 1

$y_{1} =$ -4

$x_{2} =$ 2

$y_{2} =$ 0

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{0 - (-4)}{2-1} = \frac{0 + 4}{2-1} = \frac{4}{1}$ = 4

$x_{1} =$ -1

$y_{1} =$ 0

$x_{2} =$ 0

$y_{2} =$ -3

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-3- 0}{0-(-1)} = \frac{-3- 0}{0+1} = \frac{-3}{1}$ = -3

$x_{1} =$ -1

$y_{1} =$ 0

$x_{2} =$ 2

$y_{2} =$ 0

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{0- 0}{2-(-1)} = \frac{0- 0}{2+1} = \frac{0}{3}$ = 0

4 0

3 years ago

A new car valued at $16,500 depreciates at a steady rate of 12% per year. What is the value of the car in 10 years?

olga55 [171]

Answer:

$4595.27

Step-by-step explanation:

f(x)=c*a^x

c = $16,500

a = 1 - 0.12 = 0.88

x = 10

16,500*0.88^10 = $4595.27

7 0

4 years ago

Read 2 more answers