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.

Learn more about Distance from:

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Related Questions

Find the first five terms that correspond with the following expression.

4n + 2

Answers

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

Let n=1  4(1)+2 = 4+2 = 6

Let n=2  4(2)+2 = 8+2 = 10

Let n=3  4(3)+2 = 12+2 = 14

Let n=4  4(4)+2 = 16+2 = 18

Let n=5  4(5)+2 = 20+2 = 22

The area of a rectangle is given by the expression x^2 + 6x – 16. What are the dimensions of the rectangle?


(x+4) by (x+4)
(x+4) by (x-4)
(x+8) by (x-2)
(x-8) by (x+2)

Answers

Answer:

I don't no answer sorry sorry

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

= 1 - 1/6

= 5/6

Expected Value: (1/6)10 + (5/6)(-2) = (10-10)/6 = 0

So the answer is come out even

                       

for what value of x is the equation 2x-3 over -3+4 =3 true

Answers

Answer:5

Step-by-step explanation:

......

The value of x is 3.

2x - 3/-3 + 4 = 3 is the same as saying;

2x - 3 = 3 (-3 + 4)
2x - 3 = -9 + 12
2x - 3 = 3
2x = 3 + 3
2x = 6
2x/2 = 6/2
x = 3

PLEASE HELP ME!!!!!!!!!!!!!!!!!!! ASAP :)

Answers

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]

Therefore, option (a) and (b) are incorrect.

c. To find the growth factor per day;

An exponential function is given by the formula;

[tex] y = mg^{x} [/tex] .....equation 2

Where;

g is the growth factor of a population.

Comparing eqn 2 with eqn 1;

g = 1.08

Therefore, option (c) is correct.

e. To find growth factor per hour;

From equation 1 above;

[tex] P(1) = 10 * 1.08^{\frac {1}{2}} [/tex]

Therefore, option e is correct.

pls help me with this, i’ll give brainly

Answers

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

So shirts/pants = 2.5 = x/6

2.5 = x / 6                            Multiply by 6

2.5 * 6 = x

x = 15

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]

Multiply both sides by 2

[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]

In [tex]7 + y_2 =-2[/tex], we have:

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

[tex]y_2 = -9[/tex]

So, the coordinates of D is:

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

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

convert 4/5 into percent​

Answers

the answer is 80% because percentage wise, 100 would be equivalent to 5 so 100divided by 5 would make it 20 every 1, so 20x4 is 80%

Lance purchased 6 songs and spent $9.
Erika purchased 8 songs and spent $12.
If each of song costs the same amount of
money, what is the constant of
proportionality between the money spent
and the number of songs downloaded?

A. 0.75
B. 1.5
C. 2
D. 3

Answers

The answer to this question would be C im pretty sureee!!

BONUS 1) You take the Math Time Machine into the past to save Julius Caesar and fix the calendar,
but you miss your timestamp and end up in Alexandria a few years early. You wander around before
ending up in front of the Great Library of Alexandria, which is guarded by a sphinx - known in
mythology for their tricky riddles. When you ask the sphinx what year it is, it refuses to answer
unless you solve a math problem. The sphinx shows you a right triangle with a base of 8 and a height
of 6, which you know has an area of 24. Then it tells you that if you that you can remove some
length x off of the 8 side, but if you do that you must add a rectangle under the 8 side with a height
equal to x, thus creating a trapezoid. How much length must you remove from the 8 side so the
trapezoid has the same area as the original triangle? X = 0 doesn't count.
a) X = 2
b) X = 3
c) X = 4
d) X = 5

Answers

Answer:

Gracias por los puntos :D

the nearest 100 of 87682​

Answers

the nearest 100 of 87682?
The answer is 600

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

Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π. Round your answer to the nearest tenth..

Answers

Answer: 3053.6 in^3

To find the volume of a sphere, you first must identify the formula: (4/3)pi(r)^3

You’re given the radius 9 inches
And you’re also given the pi approximation 3.14.

With that in mind, we can plug those variables in the formula to get:
(4/3)(3.14)(9in)^3 = 3053.63 in^3

And rounded to the tenths place:
3053.6 in^3

Does the graph shown represent an arithmetic sequence, geometric sequence, or neither?​

Answers

Answer:

arithmetic sequence

Step-by-step explanation:

Each new member of this sequence is less than the previous member by a fixed number, which means this is an arithmetic sequence.

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:

.

What is the growth factor for 233% growth

Answers

Answer:

Here is what you do. Make it into vertex form and then whatever the x factor is is the growth factor

E
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
of the object is 3 m/s?. If the force is changed to 18 N, what will be the acceleration of the object?
X
5
?

Answers

Solution :

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

So, F = ka

Here, k is any constant value.

Putting, F = 27 N and a = 3 m/s² in above equation, we get :

3k = 27

k = 9 N s² m⁻¹

Putting, k in above equation, we get :

F = 9a

Now, putting F = 18 N, we get :

a = 18/9 m/s²

a = 2 m/s²

Hence, this is the required solution.

Find the Key words in the word problem
Define the Variable -
Write an expression

An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.

Giving Out Brainliest
Please answer this question Right away
I don't want the answer On a link and don't type anything random

Answers

Answer:

An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.

Step-by-step explanation:

length of a rectangle is 2 metre and the breadth is 50 find the ratio of a length to the breadth of a rectangle​

Answers

75

explaining
not sure sorry good luck

cuanto es 1+1 y 50+4

Answers

Answer:

1+1=2

50+4=54

54+2=56

Step-by-step explanation:

Answer:1+1 es 2 50+4 es 54

Step-by-step explanation:primero te debes de dar cuenta que 1+1 es 2 si te fijas en el 1 la parte de ariba si lo multiplicas por 2 lo divides por 2 luego le restas 1 y le sumas 2 y le restas 1 y lo vuelves a multiplicar por 2 te das cuenta que seria la misma respuesta que seria en total el resultado seria 2 y el de 50+4 es 54 porque si te das cuenta el numero cubico la cuadrado es 2345432345654323456543234543234543234543 respuesta justificada

Help pls I’ll give extra points

Answers

Answer:

a

Step-by-step explanation:

you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.

What is the approximate volume of the cone
below?

Answers

Answer:

183 cm³

Step-by-step explanation:

V(cone) = 1/3πr²h

= (π5²·7) ÷ 3

= 175π ÷ 3

≈ 58π or 183 cm³

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:

What is the answer for this question?

Answers

Answer:

A) 254 centimeters squared

Step-by-step explanation:

Answer:

A. 254

Step-by-step explanation:

One box has 16 apples. Another box has 24 lemons. Each apple weighs twice as much as each lemon. If A is the weight of the box of apples
and B is the weight of the box of lemons, what is?

Answers

Answer:

48

Step-by-step explanation:

someone please tell me this answer!!

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
Total volume = 48 + 24 = 72 in3
This is 72
…………………….

Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey

Answers

Where the picture I need to see the picture

Which expression is equivalent to 11x + 5 + 2x - 3? (HINT: Combine LIKE TERMS)

1. 13x

2. 13x + 8

3. 21x

4. 13x + 2
Please help it’s a test

Answers

Answer:

4.13x+2

Step-by-step explanation:

11x+5+2x-3

13x+5-3

13x+2

Answer:

4 .13x+2

and don't ever try to copy and this app is for homework but other tests

hope you understand

pls take it positively

and I hope you will not do this for next test

What is 234.506 rounded to the nearest hundredth

Answers

Answer:

Rounded to the nearest hundredth, 234.506 becomes 234.51.

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