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4 years ago

Find the distance between the two points. (−4, 7), (4, 0)

1 answer:

8 0

Use the distance formula to determine the distance between the two points.Distance=√(x2−x1)2+(y2−y1)2Distance=(x2-x1)2+(y2-y1)2Substitute the actual values of the points into the distance formula.√((4)−(0))2+((7)−(4))2((4)-(0))2+((7)-(4))2Simplify.Subtract 00 from 44 to get 44.√(4)2+((7)−(4))2(4)2+((7)-(4))2Remove parentheses around 44.√42+((7)−(4))242+((7)-(4))2Raise 44 to the power of 22 to get 1616.√16+((7)−(4))216+((7)-(4))2Multiply −1-1 by 44 to get −4-4.√16+(7−4)216+(7-4)2Subtract 44 from 77 to get 33.√16+(3)216+(3)2Remove parentheses around 33.√16+3216+32Raise 33 to the power of 22 to get 99.√16+9Add 1616 and 99 to get 2525.√2525Rewrite 2525 as 5252.√5252Pull terms out from under the radical, assuming positive real numbers.5

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What are the functions of money?

VARVARA [1.3K]

Answer:

The functions of money are:

Function # 1. A Medium of Exchange: ...

Function # 2. A Measure of Value: ...

Function # 3. A Store of Value (Purchasing Power): ...

Function # 4. The Basis of Credit: ...

Function # 5. A Unit of Account: ...

Function # 6. A Standard of Postponed Payment:

Explanation:

My parents are bankers.

5 0

4 years ago

Read 2 more answers

From the given angle measurements, you can’t directly find the measure of angle L. However, you can find the measurement of angl

DaniilM [7]

The measurement of angle L = 50°.

Solution:

The given image is a rectangle.

The measurement of ∠A = 25°

The measurement of ∠B = 25°

ABC is a triangle.

Sum of the interior angles of the triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 25° + 25° + m∠C = 180°

⇒ 50° + m∠C = 180°

⇒ m∠C = 180° – 50°

⇒ m∠C = 130°

Sum of the adjacent angles in a straight line = 180°

⇒ m∠C + m∠L = 180°

⇒ 130° + m∠L = 180°

⇒ m∠L = 180° – 130°

⇒ m∠L = 50°

Hence the measurement of angle L = 50°.

8 0

3 years ago

Read 2 more answers

Starting in the blue square, in how many different ways can you draw a line that passes through every square without picking up

Keith_Richards [23]

Picture?????????????????????

3 0

3 years ago

Given the line segment AD. AD=24 BC=12,AB=CD Find AB ?

vodomira [7]

Answer:

I think its 6

Step-by-step explanation:

6 0

3 years ago

In previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.82 inches. In a t

goblinko [34]

Answer:

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different

Step-by-step explanation:

Given that in previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.82 inches

But new balls showed mean of 92.6 inches with s = 1.72 inches

Sample size = 23

Since sample size is less than 30 and population std deviation is not know we use t test

$H_0: \bar x = 92.82\\H_a: \bar x \neq 92.82$

(Two tailed test at 5% significance level)

Mean difference = $92.6-92.82=-1.22$

Std error of sample mean = s/sqrt n = $\frac{1.72}{\sqrt{23} } \\=0.3586$

Test statistic t = mean diff/std error = -3.402

df = 23-1 =22

p value = 0.002559

since p value <5% we reject H0

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different

3 0

3 years ago