All categories

3 years ago

The midpoint of EF is M(4,10). One endpoint is E(2,6). Find the coordinates of the other endpoint F.

1 answer:

5 0

You will need to set equations to solve for x and y coordinate.
(2+x)/2=4
2+x=8
x=6

(6+y)/2=10
6+y=20
y=14

The answer is A. (6,14)

You might be interested in

A printer toner company launches a new product. The number of pages that this new toner can print is normally distributed with a

Vitek1552 [10]

Answer:

Step-by-step explanation:

Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the number of pages.

µ = mean

σ = standard deviation

From the information given,

µ = 2300 pages

σ = 150 pages

the probability that this toner can print more than 2100 pages is expressed as

P(x > 2100) = 1 - P(x ≤ 2100)

For x = 2100,

z = (2100 - 2300)/150 = - 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.092

P(x > 2100) = 1 - 0.092 = 0.908

2) P(x < 2200)

z = (x - µ)/σ/√n

n = 10

z = (2200 - 2300)/150/√10

z = - 100/47.43 = - 2.12

Looking at the normal distribution table, the probability corresponding to the z score is 0.017

P(x < 2200) = 0.017

3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is

- 1.88

Therefore,

- 1.88 = (x - 2300)/150

150 × - 1.88 = x - 2300

- 288 = x - 2300

x = - 288 + 2300

x = 2018

The threshold should be

x < 2018 pages

4 0

3 years ago

West of Checkpoint A, which is at (0,5), are two hurdles that Helena needs to jump over. Hurdle 1 is 4 units west of Checkpoint

jeka94

Answer:

Coordinate of Checkpoint B is (-9,5)

Step-by-step explanation:

Here is an inserted image of the graph and coordinates.

6 0

3 years ago

Give each answer as mixed number in simplest form

telo118 [61]

Step-by-step explanation:

$= \frac{1}{2} + ( - 5 \frac{9}{10} )$

$= \frac{1}{2} - 5 \frac{9}{10} \\$

$= \frac{1}{2} - \frac{5 \times 10 + 9}{10} \\$

$= \frac{1}{2} - \frac{59}{10} \\$

$= \frac{1}{2} \times \frac{5}{5} - \frac{59}{10} \\$

$= \frac{5}{10} - \frac{59}{10} \\$

$= \frac{5 - 59}{10} \\$

$= - \frac{54}{10} \\$

$= - \frac{27}{5} \\$

6 0

2 years ago

Read 2 more answers

Find X and Y please explain

Alex777 [14]

In this diagram we see that 80 and 3x+4y are both vertical angles and vertical angles are congruent or always equal so we can set those two equations equal to each other then we can see that a line splits two angles making them supplementary (they equal 180 degrees) So we can have another equation, the two equations are:

3x+4y=80 and 3x+4y+7x-8y=180 (add like terms to simplify and get 10x-4y=180

Then use elimination to get rid of the y variables

10x-4y=180 (plus)

+3x+4y=80 (the negative 4 and positive 4 cancels each other out so you are left with:)

13x=160 (divide by x)

x=12.30769 which can be rounded to x=12.31

Then we have to plug in x into the first equation:

3(12.31) + 4y = 80

36.93 + 4y = 80 (subtract 36.93 from 80)

4y = 43.07 (divide)

y=10.7675 or rounded to 10.77

so x=12.31 and y=10.77

5 0

3 years ago

A store sells 4 main types of chocolate bars milk chocolate dark chocolate white chocolate and hazelnut chocolate the store empl

sergij07 [2.7K]

Hi there! The answer is A. 252

To find the percentage of the customers who preferred the milk chocolate bar we need to know two things:

First we need to know the total amount of customers, which is 50.
Second we need to know how many of these customers preferred the milk chocolate bar. This bar is preferred by 28 people.

Now we can fill in the following formula, in order to find our percentage:
$\% = \frac{part}{total} \times 100 \% = \frac{28}{50} \times 100 \% = 0.56 \times 100 \% = 56 \%$

Now we can multiply this percentage by the total amount of chocolate bars which will be bought (which is 450).
$56 \% \times 450 = 0.56 \times 450 = 252$

Hence, the answer is A. 252
~ Hope this helps you!

7 0

3 years ago