MATHEMATICS HIGH SCHOOL

Find the distance between the points.
(-2,4) and (-2,8)

Answers

Answer 1

Answer:

Answer:

4 units

Step-by-step explanation:

Given points:

(-2, 4)
(-2, 8)

As the x-coordinates of both points are the same, the two points line on the vertical line x = -2.

Therefore, to find the distance between the points, find the absolute value of the difference between their y-coordinates:

$\textsf{Distance}=|4-8|=|-4|=4$

Therefore, the distance between points (-2, 4) and (-2, 8) is 4 units.

Answer 2

Answer:

Answer:

Step-by-step explanation: 4y and 8y would be 4 away from each other in the positive direction starting from 4y to get to 8y, therefore the diatance between (-2,4) and (-2,8) is 4

Related Questions

Which expressions are equivalent to 5^3*5^x?
Molly is writing a paper for her history class. To complete her paper, Molly must spend 2 hours on research and 1 hour writing each page. She writes the expression p + 2 where p equals the number of pages . Use the expression to evaluate the number of hours needed for 10 pages and evaluate the number of hours needed for 19 pages . Please help
Solve the problem.Find the radius of a circle that has a circumference of 28.26 feet. ft.
Help me pleaseIt about linear equations
solve the triangle. round lengths to the nearest tenth and angle measures to the nearest degree a=7 b=7 c=5

Please help me with this question

Answers

Here, 3/8 * 3/8 = 9/64

In short, Your Answer would be: 9/64

Hope this helps!

7 1/8 is you answer.

Hope this helped!!

A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?Remember, the margin of error, ME, can be determined using the formula mc019-1.jpg.
49.1 minutes to 59.3 minutes
50.3 minutes to 58.1 minutes
54.2 minutes to 58.1 minutes
54.2 minutes to 59.3 minutes

Answers

Margin of error = z * δ/√n

sample population = 50
mean = 54.2 minutes
standard deviation = 14.0 minutes
z-score = 2.58

2.58 * (14/√50) = 2.58 * 14/7.07 = 2.58 * 1.98 = 5.1084 or 5.11

54.2 + 5.11 = 59.31 minutes
54.2 - 5.11 = 49.09 minutes

Answer is: 49.1 minutes to 59.3 minutes

The confidence interval of the given statistics when calculated with the given parameters is; (49.1 minutes to 59.3 minutes)

How to find the confidence interval?

Formula for Margin of error is;

M = z * σ/√n

We are given;

Sample size; n = 50

mean; x' = 54.2 minutes

standard deviation; σ = 14.0 minutes

z-score = 2.58

Thus;

M = 2.58 × (14/√50)

M = 5.11

Confidence interval is;

CI = x' ± M

CI = (54.2 + 5.1), (54.2 - 5.1)

CI = (49.1 minutes, 59.3 minutes)

Read more about confidence interval at;

brainly.com/question/6650225

#SPJ5

Explain the steps you would take to find the quotient of 1/3 divided 4/3

Answers

Answer: 1/4

Step-by-step explanation: Here, we have 1/3 ÷ 4/3.

Dividing by a fraction is the same

as multiplying by its reciprocal.

In other words, we can change the division sign

to multiplication and flip the second fraction.

So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.

Now we're simply multiplying fractions.

Before multiplying however, always try to cross-cancel.

Notice that we can cross-cancel 3 and 3 to 1 and 1.

So we now have 1/1 × 1/4.

Multiplying across the numerators

and denominators, we have 1/4.

Answer:

1/4

Explanation:

1/3 is the dividend while 4/3 is the divisor.

The quotient is the resulting number after the division is made.

1/3 divided by 4/3

Is the same as

1/3 x 3/4

This results in 3/12 which when simplified is 1/4

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $

Answers

Answer:

y = 260x + 700
$5900

Step-by-step explanation:

We can describe it as a linear function with points of:

(5, 2000) and (15, 4600)

Slope intercept formula:

y = mx +b

Finding the slope using the two given points:

m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

2000 = 5*260 + b

b = 2000 - 1300 = 700

Formula obtained:

y = 260x + 700

For x = 20, value of y is:

y = 260*20 + 700 = 5200+700 = $5900

Final answer:

To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.

Explanation:

To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:

slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260

y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700

Therefore, the equation of the line is y = 260x + 700.

To find the cost to produce 20 heaters, we substitute x = 20 into the equation:

y = 260 * 20 + 700 = 5200 + 700 = 5900

So, the cost to produce 20 heaters is $5900.

Learn more about Linear function here:

brainly.com/question/40461731

#SPJ12

Which of the following is closet to 27.8 x 9.6?a. 280
b. 300
c. 2800
d. 3000

Answers

The answer is A. It's closet to 280 seeing how it is 265

the answer is A.200 because 27.8 times 9.6 is 266.88 which is closer to A. 280

Sunday: 1 1 2 Monday: 1 Tuesday: 2 1 2 Wednesday: 1 3 4 Thursday: 2 Friday: 1 1 2 Saturday: 2 Jenna is a swimmer and trains every day. The schedule shown outlines the number of hours she trains each day. If she misses the Wednesday practice, what is the total number of hours that she trains? A) 10 1 2 hours B) 10 C) 11 3 4 hours D) 12 hours