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iren [92.7K]
3 years ago
7

Points A and B are located in a standard (x,y) coordinate plane. If A has coordinates (4,-4) and B has coordinates (0,8), what a

re the coordinates of the midpoint between A and B?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

the easiest way I find a midpoint of two points is the midpoint theorem, here it is:

\frac{x1+x2}{2} , \frac{y1+y2}{2}

For x and y plug in the two coordinates given, (4,-4) & (0,8)

so once you plug the numbers into the equation you would get:

(2,2)

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Can you help please ASAP
V125BC [204]

Answer:

Step-by-step explanation:

External angle equals to the sum of opposite internal angles

z - 41° + z - 20° = z + 40°

2z - 61° = z + 40°

2z - z - 61° = 40°

z - 61° = 40

z = 40° + 61°

z = 101°

5 0
3 years ago
According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

                               = 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0
3 years ago
One morning during the spring break, Jose ran 13 miles up hill in the rain. That afternoon Jose ran up the hill 3 2/3 faster whe
netineya [11]

Answer:

The answer to your question is 13 miles

Step-by-step explanation:

In the question is not mentioned the distance that Jose one during the afternoon, it is only mentioned that he ran faster than in the morning so we can imply that the distance was the same in both occasions, just he ran faster in the afternoon because there was no rain.

6 0
3 years ago
The drama club is having a car wash as a fundraiser. They wash x cars at $5 each
Galina-37 [17]

<u>Answer:</u>

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

8 0
3 years ago
Use the graph to answer the question.
stealth61 [152]
A 180 counterclockwise rotation about the origin followed by a reflection of the y-axis
6 0
2 years ago
Read 2 more answers
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