5 Let A(-2,5) and B(5,0) be the endpoints of AB. What is the length of the segment?

5 Let A(-2,5) And B(5,0) Be The Endpoints Of AB. What Is The Length Of The Segment?

Answers

Answer 1

The equation for finding the length between two points is:

\(l\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}\)

where point 1 has coordinates (x1, y1) and point 2 has coordinates (x2, y2).

We assign A to be point 1 and B be point 2

Therefore,

\(\begin{gathered} l\text{ = }\sqrt[]{(0_{}-5_{})^2+(5_{}-(-2)_{})^2} \\ l\text{ = }\sqrt[]{(-5)_{}^2+(7_{})^2} \\ l\text{ = }\sqrt[]{25+49^{}} \\ l\text{ =}\sqrt{\text{74}} \end{gathered}\)


Related Questions

26 is 6 more than k. Solve for K.

Answers

K is 20. K plus 6 equals 20.

Answer:

k = 20

Step-by-step explanation:

simplify both sides of the equation, then isolate the variable.

hope it helps you!:))

HELP URGENT!!! RESPOND QUICKLY!!!​

HELP URGENT!!! RESPOND QUICKLY!!!

Answers

Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

A cab company charges $ 2 per cab ride, plus an additional $ 1 per mile driven. How long is a cab ride that costs $ 45 ?

Answers

answer: 43 miles :)

45-2=43 or 1(45) -2

(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?

Answers

Answer:

i think u forgot to add the picture bro?

Step-by-step explanation:

Solve for n. c/d = d/c - 1/n

Answers

Answer:

Hi! The other answer is not correct to your question

The answer to your question is n= \(\frac{dc}{(c+d)(c-d)}\)

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable n

※※※※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

I also got stuck on this one.

I also got stuck on this one.

Answers

Answer:

8 questions.

Step-by-step explanation:

100 - 2x = 84

-2x + 100 = 84

-x + 50 = 42

x - 50 = -42

x = 8

Trevor answered 8 questions incorrectly.

Hope this helps!

Answer:

8

8Step-by-step explanation:

100-2x=84

subtract 84 from both sides

16-2x=0

add 2x to both sides

16=2x

divide both by 2 to get x

x=8

hope this helped

Find the average rate of change in the simplest form

Find the average rate of change in the simplest form

Answers

m = (5-15)/(4-2). Rise over run
Slope = -5

can I have the answer for c pleaseee ASAP

can I have the answer for c pleaseee ASAP

Answers

Answer:

a) -1/3 b) 3 c) y=3x-10

Step-by-step explanation:

can I have the answer for c pleaseee ASAP

The cost of 3x10^0 houses is $1.05* 10^6 . If the cost of the houses and the number of houses is proportional. How much money is needed to buy 2.5x10^1houses? Do all calculation in SN form. Express your answer in proper scientific notation and in standard form. MUST SHOW ALL YOUR WORK

Answers

Answer:jh

43

Step-by-step explanation:

Trust meTrust meTrust me ps

What is the GCF of 44,524 and 121;46?

O 4912

4;24

O 11:32

O 11:44

Plzzz help nowwww

Answers

11:32 carry and share my answer

WILL RECIEVE BRANILIEST IF ANSWERED CORRECT

WILL RECIEVE BRANILIEST IF ANSWERED CORRECT

Answers

Answer:

B

Step-by-step explanation:

The answer is B because we can estimate by seeing that: 3 x 3 = 9, so henceforth the answer must be between 3 and 4, so it must be B.

If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof

Answers

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

1) 9 + 2h - 16
-7 + 2h

Answers

9+2h-16-7+2h = -2(7-2h)
2 (7-2h) is the answer

1.1.3 Quiz: Induction: The Search for Rules and Patterns
Question 1 of 10
Which of the following is most likely the next step in the series?
D
OA.
OB.
О с.
O D.
O

1.1.3 Quiz: Induction: The Search for Rules and PatternsQuestion 1 of 10Which of the following is most

Answers

The option that is next in the series will be option D. The Pentagon.

What is the next step in the series?

The next step in the series will be option D. The first circle has a vertical line with two points while the second circle has a triangle with three points.

The third circle has a shape with four points, and given this series, we can predict that the fourth circle will have a shape with five points. Option D satisfies this condition as it has a pentagon with five sides. There are five dotted points that prove that the figure is a pentagon.

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Which fractions are equivalent to 4/12? Choose ALL the correct answer


2/10



1/9


1/6


2/6



1/3

Answers

The answer is 2/6 and 1/3

Answer:

The correct t answer are 1/3 and 2/6

I'm 100000000% sure the answers are 1/3 and 2/6.

PLS HELP
If a cone has a volume of 75.36 cubic feet and a radius of 6 feet, what is the height of the cone? (Use 3.14 for .)
O2 feet
3.46 feet
06 feet
04 feet

Answers

The answer is 2 feet

Solve for x.
4x+3=18-x
= [?] X =



HURRY PLEASE

Answers

Answer:

x = 3

Step-by-step explanation:

4x + 3 = 18 - x ( add x to both sides )

5x + 3 = 18 ( subtract 3 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

The sides of a rectangle are in the ratio 1:2. If the rectangle has an area of 578 in2, find the dimensions of the rectangle and the perimeter

Answers

Answer:

find the width and length

Step-by-step explanation:

MATH SUFACE AREA OF PYRAMIDS

WILL GIVE YOU MY LAST 10 POINTS!!!! AND BRAINLYIST!!

MATH SUFACE AREA OF PYRAMIDS WILL GIVE YOU MY LAST 10 POINTS!!!! AND BRAINLYIST!!

Answers

Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

Find the volume of the sphere:

A. 452.4 cubic meters
B. 904.8 cubic meters
C. 150.8 cubic meters
D. 36 cubic meters

Find the volume of the sphere: A. 452.4 cubic meters B. 904.8 cubic meters C. 150.8 cubic metersD. 36

Answers

Answer:  904.8 cubic meters (choice B)

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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a dog shelter is giving away 8 different dogs, but you only have room for 5 of them. how many different dog families could you have

Answers

Answer: 5

Step-by-step explanation:

Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimates the OLS regression: 1. Test-Score = 520.4-5.82 × CS (20.4) (2.21) A classroom has 22 students. What is the regression's prediction for that classroom's average test score?

Answers

To find the regression's prediction for a classroom with 22 students, you can use the given OLS regression equation: Test-Score = 520.4 - 5.82 × CS. In this equation, CS represents the class size.

Since the class size is 22 students, you can plug this value into the equation:

Test-Score = 520.4 - 5.82 × 22

Test-Score = 520.4 - 127.04

Test-Score ≈ 393.36

So, the regression's prediction for that classroom's average test score is approximately 393.36.

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can someone answer page 3 question 3, page 5 question 3, all of page 6

Answers

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

What is trigonometrical ratios?

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Consider a data set containing the following values.


88 96 72 84 95 100 92 90


The mean of the preceding values is 89. 625. The deviations from the mean have been calculated as follows:

-1. 625 6. 375 -17. 625 -5. 625 5. 375 10. 375 2. 375 0. 375


Required:

a. If this is sample data, the sample variance is ?? and the sample standard deviation is??

b. If this is population data, the population variance is?? and the population standard deviation is??

c. Suppose the largest value of 106 in the data was misrecorded as 100. If you were to recalculate the variance and standard deviation with the 100 instead of the 106, your new values for the variance and standard deviation would be?

Answers

If this is sample data, the sample variance is 75.410  and the sample standard deviation is 8.68 .

What does variance mean?

The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set.

Why is variance used?

Variance is a statistical measurement used to determine how far each number is from the mean and from every other number in the set. You can calculate the variance by taking the difference between each point and the mean. Then square and average the results.

If this is population data, the population variance is 65.98  and the population standard deviation is8.12  .

If you were to recalculate the variance and standard deviation with the 80 instead of the 72,

Sample variance = 43.125

Sample standard deviation = 6.567

Population variance =  37.734

Population standard deviation = 6.14

Step-by-step explanation

Dats given are 88, 96, 72, 84, 95, 100, 92 and 90

Mean,  μ  = 89.625

Number of data, N = 8

Sample variance s2 =  Σ  ( xi -  μ  )2 / N-1

N -1 = 8-1 = 7

Given that xi -  μ  for each data are  -1.625, 6.375, -17.625, -5.625, 5.375, 10.375, 2.375  and 0.375

Σ  ( xi -  μ  )2  =  -1.6252 + 6.3752 + -17.6252 +-5.6252 + 5.3752 + 10.3752 + 2.3752 + 0.3752 = 527.870

Sample variance, s2 =  8−1−1.6252+6.3752+17.6252+5.622+5.3752+10.3752+2.3752+0.3752

 =  7527.870  = 75.410

sample standard deviation s =  75.410

= 8.68

Population variance ,  σ  2 =  Σ  ( xi -  μ  )2 / N

Population variance ,  σ  2  =  81.6252+6.3752+17.6252+5.6252+5.3752+10.3752+2.3752+0.3752

 =  8527.870

 = 65.96

Population standard deviation,  σ   =  65.98  = 8.12

If 72 is recalculated with  80 , datas are 88, 96, 80, 84, 95, 100, 92 and 90  888+96+80+84+95+100+92+90

New mean,  μ   =  888+96+80+84+95+100+92+90

= 90.625

The deviations from the mean ( xi -  μ  ) are -2.625, 5.375, -10.625, -6.625, 4.375 , 9.375, 1.375 and -0.625

Σ  ( xi -  μ  )2  = -2.6252 + 5.3752 + -10.6252+ -6.6252 + 4.3752 + 9.3752 +  1.3752 + -0.6252 = 301.875

Sample variance s2 =  Σ  ( xi -  μ  )2 / N-1

Sample variance s2  =  8−1−2.6252+5.3752+10.6252+6.6252+4.3752+9.3752+1.3752+0.6252

=  7301.875

  = 43.125

Sample standard deviation s =  43.125

 = 6.567

Population variance,  σ  2 =  Σ  ( xi -  μ  )2 / N

Σ  ( xi -  μ  )2  = -2.6252 + 5.3752 + -10.6252+ -6.6252 + 4.3752 + 9.3752 +  1.3752 + -0.6252 = 301.875

Population standard deviation,  σ^2   =   sqrt(37.734)

​Population standard deviation,  σ   = 6.14

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Should it matter if areas far from large cities lose population?

Answers

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

A rectangular prism has the volume of 528 cubic
feet and a base area of 88 square feet. What is the
height of the rectangular prism?
A. 2 feet

B. 8 feet

C. 4 feet

D. 6 feet

Answers

Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using L * W * H, or B * H

-> The length (L) times the width (W) is equal to the base (B)

V = B * H

528 = 88H

6 = H

Which fraction below represents a repeating decimal?

A.) 1/4
B.) 6/4
C.) 19/2
D.) 22/12

Answers

d) 22/12
You can just divide it out for each one and fine the answer, but I have a trick. If when the fraction is simplified there is still a 3,7,11 etc on the denominator, then that fraction is repeating.
22/12 simplifies to 11/6, and 6 is a multiple of 3, so the decimal will be repeating.

Solve for x. Figures are not necessarily drawn to scale.

Solve for x. Figures are not necessarily drawn to scale.

Answers

Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Solve for x. Figures are not necessarily drawn to scale.

Help Me!!!
Find the difference
(4 - 7m) - (-n + 2m -1)

Answers

Answer:

− 9 m + n + 5

Step-by-step explanation

I did the quiz

if a-b=0.9 and ab=0.36 find, (i) a + b and (ii) a^2-b^2​

Answers

Answer:

Start your streak by answering any question. You'll get bonus points from day 2.

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