Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,2) and (1, -2)

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (1, - 2)

d = [tex]\sqrt{(1-4)^2+(-2-2)^2}[/tex]

   = [tex]\sqrt{(-3)^2+(-4)^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5

 


Related Questions

Write the equation of the line in slope-intercept form (y = mx +b): 3y - 12x = 15

Answers

Answer:

y = 4x + 5

Step-by-step explanation:

3y - 12x = 15

Add 12x to both sides.

3y = 12x + 15

Divide by 3 to isolate y.

y = 4x + 5

Answer:

ACTUALLY IT'S, y=4x-5

Step-by-step explanation:

12x-3y=15                          - Get y alone

-12x   =12x                          

-3y=-12x+15

-3y=-12x+15     - Divide.            

__________

-3           -3

y=12/3x-15/3                  -  Distribute division. Negative over a negative is positive. Positive over a negative is a negative.

y=4x-5     - Reduce fractions.

What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5

Answers

Answer:

3) 5/2

Step-by-step explanation:

2y = 5x + 4

y = 5/2x + 2

slope = 5/2

(y = mx + b, m being slope, b being y intercept)

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is letter D.

plz help will make brainliest!!!!!

(by the way, if the pic is blurry, the equation you would solve is: 10x = 2x + 60)​

Answers

Answer:

x = 7.5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 2x from both sides of the equation:

10x (-2x) = 2x (-2x) + 60

10x - 2x = 60

8x = 60

Next, isolate the variable, x. Divide 8 from both sides of the equation:

(8x)/8 = (60)/8

x = 60/8

x = 7.5

x = 7.5 is your answer.

~

Graph the following inequality and then select the correct graph below.
x+y<1

Answers

Answer:

The inequality x+y<1 should look like the graph attached.

It should be a dashed line, not a solid line.

Answer:

The second one you click to switch it

Step-by-step explanation:

Just did the quiz just going by every question and giving answers

How many 1/2cups are in 7/8cups

Answers

Answer:

Step-by-step explanation:

7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply

7/8 * 2 = 14/8 = 1 3/4 <==

The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?

Answers

Answer:

a) the required percentage is 32.64%

b) the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Step-by-step explanation:

Given that;

mean μ = 14.7 %

standard deviation σ =33%

a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?

P( portfolio lose money )

= P( x< 0) P( 0-14.7 / 33 )

P( Z < -0.45 ) =  0.3264 ≈ 32.64%

Therefore, the required percentage is 32.64%

b)

the cutoff for the highest 15% of annual returns with this portfolio will be:

P( X ≥ x) = 15%

1 - P(X ≤ x) = 0.15

P(X ≤ x) = 0.85

P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1

form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2

from the equations;

(x-14.7 / 13 ) = 1.04

33 × 1.04 = x-14.7

34.32 = x-14.7

x = 34.32 + 14.7

x = 49.02%

Therefore, the cutoff for the highest 15% of annual returns with this portfolio  is 49.02%

Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.

Answers

Answer:

1.718333

0.114957

12

1 3 5 7

Step-by-step explanation:

Given the following height values :

Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85

1.) Assign all height values to a vector height :

R code:

height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)

2.) To compute the mean and standard deviation of "height"

R code for mean height:

mean(height)

R code for height standard deviation :

sd(height)

3.) The length of "height" ; This gives the number of data values in the vector variable "height"

R_code for length:

length(height)

4.) Number of heights less than 1.65

R_code :

which(height < 1.65)

Gives the index values where height values is less than 1.65

5.) Show if each height is larger than 1.6 and less Than 1.75

R_code :

1.6 < height < 1.75

The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?

Answers

Answer:

0.1416

Step-by-step explanation:

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.

The probability in a random sample of 32 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]

P-value from Z-Table:

P(x<32) =

The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.

The probability in a random sample of 36 will be

[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]

P-value from Z-Table:

P(x<36) = 0.0086945

The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be

[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6

Answers

answer: C

(1) 56 + (2) 42 + (3) 50 + (4) 63 + (5) 58+ (6) 41 + (7) 50 + (8) 48 + (9) 68 + (10) 48 = 524

524/10 = 52.4

Answer:

C. 52.4

Step-by-step explanation:

Solve each inequality below and illustrate the solution on a number line.
(a)
4.Y + 6 < 18
(b)
Sx - 8 > 27
(c)
6.x + 7 < 37
2.2 - 6
(d)
5x – 7 > -17
(e)
<1
4(2x - 3) > -8

just tell the answer no need f0r working ​

Answers

It’s 17 lemme tell u why

17 is the answer

h0pe this helped :>

Will mark brainliest!!!Using sin in math solve the one circled in green

Answers

Answer:

x ≈ 32.3

Step-by-step explanation:

Using the sine ratio in the right triangle

sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )

x × sin48° = 24 ( divide both sides by sin48° )

x = [tex]\frac{24}{sin48}[/tex] ≈ 32.3 ( to 1 dec. place )

You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.

What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.




$30 per pound


$0.14 per pound


$7 per pound


$14 per pound

Answers

Answer:

$7 a pound

Step-by-step explanation

$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7

multiply 8 by g, then divide 7 by the result
Do not simplify any part of the expression. HELP A GIRL OUT PLEASE

Answers

Answer:

8*g = 8g

then,

7/8g

Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.

Answers

Answer:

the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.

Step-by-step explanation:

Answer:-10

Step-by-step explanation:

can anyone help me pls

Answers

Answer:

405 calories

Step-by-step explanation:

All we have to do is:

9 × 45

I hope this helps!

The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.

Answers

Answer:

147

Step-by-step explanation:

You know from class that 23 people can comfortably fit standing in 32 square feet. You attend an outdoor concert that has a standing area for observers that is 450 feet by 650 feet. How many people can comfortable stand in this observation area?
A) 2,102 people
B) 21,027 people
C) 210,234 people
D) 2,102,340 people

Answers

Answer:

C

Step-by-step explanation:

To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.

Next, divide by 32 to find how many sections of 23 people there are.

292500 / 32 =  9140.625

Lastly, multiply by 23 to find how many people can stand in the area.

9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people

Express x^2 + 4x - 7 in the form (x + a)^3 - b where a and b are integers

Answers

Answer:

(x+2)² - 11

Step-by-step explanation:

Regroup terms

x² + 4x - 7

(x² + 4x) - 7

Complete the square

 coefficient of x term: 4

 divide coefficient in half: 2

 square it: 2²

 use 2² to complete the square:

(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11

Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer

Answers

Answer:

The answer is (-8/5,32) in point form or x=-8/5,y=32

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Help please I will Brainly

Answers

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

which fraction is equivalent to -3/2
3/-2
-(-3/2)
-(3/-2)
-3/-2

Answers

Answer:

A

Step-by-step explanation:

what is the value of x in √x^3-1​

Answers

9514 1404 393

Answer:

  x ≥ 1

Step-by-step explanation:

The argument of the square root cannot be negative, so the expression is only defined for ...

  x³ -1 ≥ 0

  x³ ≥ 1 . . . . . add 1

  x ≥ ∛1 . . . .  cube root

  x ≥ 1 . . . . the domain of the expression

_____

As you can see, the graph only exists for x ≥ 1.

Elaine can travel 63 meters in 3 second what is Elaine rate of speed?

Answers

Answer:

75,600 m/h (21 m/s, 0.02 km/h)

Step-by-step explanation:

Hey there!

The answer to your question is [tex]21 mps[/tex]

To find the rate of speed, we have to find the meters per second, or mps. The formula for this is  [tex]\frac{distance}{time} = speed[/tex]. So:

[tex]\frac{63}{3} = s[/tex]

[tex]21 = s[/tex]

This means that the speed is 21 meters per second, or 21 mps.

Hope it helps and have an amazing day!


Write the equation of a line with a slope of O through the point (3, -1).
y = 3x - 1
y = -1
x=3
x = -1

Answers

Answer:

x=3

please mark as brainliest

If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?

Explain Please

The song: Drivers License
Songwriter/ singer: Olivia Rodrigo

Answers

Answer:

12 hours and 50 minutes

Step-by-step explanation:

You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins

Answer:

7 hours, 40 min

Step-by-step explanation:

4 minutes is 1/15 of an hour

115 x 1/15 = 7 2/3

1/5,0,-1/5,what two answers comes next?

Answers

the next 2 answers are: -2/5 and -3/5

What is the x-intercept of the linear function y = 1/3x +1

Answers

Answer:

the x intercept is -3

or (-3,0)

Step-by-step explanation:

the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.

Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.

0=1/3x+1

subtract 1 from both sides

-1=1/3x

multiply by 3

-3=x

Therefore the x intercept is -3.

As a point is (-3,0)

hope this helps!

PLS PUT THE CORRECT ANSWER AND SHOW HOW YOU DID IT PLS :(

5-7(9b-3d). D=3 b=9

Answers

Answer:

Subsitute (nothing hard)

5-7(9*9-3*3)

Combine

5-7(72)

Distibute left to right

-7*72= -504

5-504

-499

If 2x+y=10 and y=3x find the value of both x and y

Answers

Answer: x=2 y=6
Explanation: I’ve been looking at this problem for the longest time and can’t figure a way to explain this properly, let’s simplify first, 2x+3x(y)=10, then distribute evenly, 10 divided by 5 is 2 so x equals 2 and y equals 6
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