What is the distance between points L(−5, 7) and M(3, −8)?

Answers

Answer 1

Answer:

17

Step-by-step explanation:

√(3-(-5))²+(-8-7)²

√(3+5)²+(-15)²

√8²+225

√64+225

√289

=17

Answer 2

The distance between two points L(-5, 7) and M(3, -8) is 17 units.

What is distance ?

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here Distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Distance  = [tex]\sqrt{(3-(-5))^{2} + (-8-7)^{2} }[/tex]

D = [tex]\sqrt{8^2+15^2}[/tex]

D =[tex]\sqrt{64 + 225}[/tex]

D = [tex]\sqrt{289}[/tex]

D = 17 units

Thus, the distance between two points L(-5, 7) and M(3, -8) is 17 units.

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Answer:

c) The growth factor per days is 1.08

e) The growth factor per hour is 1.08^{1/24}

Step-by-step explanation:

Given the following data;

P(d) = 10 * 1.08^{d} in thousands.

a. To find the number of insects on day 1;

Day, d = 1

[tex] P(d) = 10 * 1.08^{d} [/tex] ......equation 1

Substituting into the formula, we have;

[tex] P(1) = 10 * 1.08^{1} [/tex]

[tex] P(1) = 10 * 1.08 [/tex]

[tex] P(1) = 10.08 [/tex]

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Answers

72

Explanation:
Volume of cuboid = 2 x 4 x 6 = 48 in3
Volume of pyramid = 1/3 x (4 x 6) x 3 = 24 in3
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…………………….

For the data set 7, 5, 10, 11, 12, the mean, x, is 9. What is the standard deviation? The formula for the sample standard deviation is s = 2(x-7)? . 1 Use the table to help you. (x - 2)2 1 Sum= Round your answer to the nearest tenth.​

Answers

Answer:

the answer is 2.9

Step-by-step explanation:

.

You play a game in which two dice are rolled. If a sum of 7 appears, you win ten dollars; otherwise, you lose two. If you intend to play this game for a long time, should you expect to make money, lose money, or come out about even? Explain.

Answers

Answer:

Come out even

Step-by-step explanation:

The total numbers of faces in rolling two dice = 6 X 6 = 36

The sum of appears in the following cases: {6, 1}, {1, 6}, {2, 5}, {5, 2}, (3, 4}, {4, 3}. Making a total of 6 cases

Probability of obtaining a sum of 7 = possible number of cases where the sum of 7 appears ÷ total number of outcome

= 6/36 = 1/6

Probability of not obtaining a sum of 7 = 1 - Probability of obtaining a sum of 7

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= 5/6

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Answer for brainlest

Answers

Answer:

these are corresponding angles

Answer:

Step-by-step explanation:

angle 8 and angle 4 are called corresponding angles.so,

angle 8=angle 4

A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?

Select one:

A. The size of the population

B. The length of time the people smoked

C. All the information you need is contained in the problem

D. The amount of confidence you desire in your estimate

Answers

Answer:

C. All the information you need is contained in the problem.

310 people of 1000 people smoke.

Step-by-step explanation:

[tex]\frac{y}{1000}: \frac{31}{100}[/tex]

y · 100 = 31 · 1000

100y = 31000

100y ÷ 100 = 31000 ÷ 100

y = 310

The library surveyed 180 people about their favorite type of movie. If 40% of the people chose action, how many people chose action?

Answers

Answer:72

Step-by-step explanation:

Part B: Plot point C(2,7). If M is the midpoint of CD, what are the coordinates of D?

Answers

Answer:

[tex]D = (-4,-9)[/tex]

Step-by-step explanation:

Given

[tex]C =(2,7)[/tex]

 [tex]M=(-1,-1)[/tex]

Required

The coordinates of D

Represent D with:

[tex]D = (x_2,y_2)[/tex]

Using midpoint formula, we have:

[tex]M(x,y) = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

So, we have:

[tex](-1,-1) = \frac{1}{2}(2 + x_2, 7 + y_2)[/tex]

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[tex](-2,-2) = (2 + x_2, 7 + y_2)[/tex]

Compare both sides

[tex]2 + x_2 = -2[/tex]

[tex]7 + y_2 =-2[/tex]

In [tex]2 + x_2 = -2[/tex], we have:

[tex]x_2 =-2-2[/tex]

[tex]x_2 =-4[/tex]

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[tex]y_2 = -2 - 7[/tex]

[tex]y_2 = -9[/tex]

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below?

Answers

Answer:

183 cm³

Step-by-step explanation:

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Answers

Answer:

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Answer:

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Answers

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

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Answer:

shirts = 15 when pants = 6

15

Step-by-step explanation:

Try two others that are given

shirts / pants = 10 / 4 = 2.5

shirts / pants = 30/12 = 2.5

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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 27 N acts on a certain object, the acceleration
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Answers

Solution :

It is given that force on the object is directly proportional to acceleration.

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Step-by-step explanation:

......

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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