What is the length of a line segment that connects the points located at coordinates (12,-22) and (8,-30)? Do not round answer. (leave as a square root)

Answers

Answer 1

Step-by-step explanation:

[tex]\text{The length between 2 points, } (x_1, y_1)\text{ and }(x_2,y_2)\text{ is determined by, }[/tex]

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\text{The length between } (12, -22)\text{ and }(8, -30)\text{ is determined by, }[/tex]

[tex]d=\sqrt{(8-12)^2+(-30-(-22))^2}=\sqrt{4^2+8^2}=\sqrt{4^2(1+2^2)}=4\sqrt5[/tex]


Related Questions

explain why 3.51+8.13 is rational pls help me

Answers

[tex]3.51+8.13=11.64=\frac{1164}{1000}=\frac{291}{250}[/tex]

Since the sum can be expressed as the ratio of two positive integers, it is rational.

if f(x)=-2x-3 what is f(r+2) ?

Answers

Answer:

[tex]f(x) = - 2x - 3[/tex]

when x is r + 2 :

[tex]f(r + 2) = - 2(r + 2) - 3 \\ = - 2r - 4 - 3 \\ = - 2r - 7 \\ \\ { \boxed{ \boxed{f(r + 2) = - 2r - 7}}}[/tex]

A rectangular room is 5 meters longer than it is wide, and its perimeter is 26 meters. Find the dimension of the room.

Answers

Answer:

l=×+5

w=×

p=2(×+5+×)

=2(2×+5)

26=4×+10

26-10=4×

16=4×

×=4

length=5+4=9

width=4

Can yall pls tell me the number

Answers

Answer:

4

Step-by-step explanation:

The fraction reduces to 4/7

4

Step-by-step explanation:

both of the numbers are divisible by 7 so you do 28/7 = 4

z^2 - x; use x = 1, and z = 3

Answers

Answer:

8

Step-by-step explanation:

3^2 = 9 - 1 = 8

If a + b = 20 and ab = 75, find the value of a + b?​

Answers

Answer:

a=5 or a=15, b=15 or b=5

Step-by-step explanation:

b=20-a

a(20-a)=75

20a-[tex]a^{2}[/tex] -75=0

-[tex]a^{2}[/tex]+20a-75=0

[tex]a^{2}[/tex]-20a+75=0

(a-5)(a-15)=0

a-5=0 or a-15=0

a=5 or a=15

b=15 or b=5

(:

Answer:

Step-by-step explanation:

 a + b = 20

Sum of roots = 20

ab = 75

Product of roots = 75

x² - (a +b) x + ab = 0

x² - 20x + 75 = 0

Sum = coefficient of x = -20

Product = 75

Factors = 15 , 5    {15*5 = 75  & 15 +5 = 20}

x² - 15x - 5x + 75 = 0  {Rewrite the middle term}

x(x - 15) - 5(x - 15) = 0

(x - 15) (x - 5)=0

x - 15 = 0    ; x -5 = 0

x = 15        ; x = 5

a = 15  ;  b= 5

If a = 1, b = 3, c = 4, what is x? Use the formula x= c/ (b-a).

Answers

Answer:

Step-by-step explanation:

A=1,B=3,C=4

X= 4/(3-1)

X= 4/2

X=2

Each big square below represents one whole What percent is represented by the shaded area?

Answers

Answer:

186%

Step-by-step explanation:

Looking at the squares, we can see that the first one has been completely shaded. That means that it is 100% shaded.

The second square has 86 out of 100 squares shaded, so that means that it is 86% filled.

Therefore 186% is filled by the shaded area.

Is -2.75 a whole number, integer or ration number

Answers

Answer:

Integer

Step-by-step explanation:

Look it up it will give you an answer

Its going to be a rational number and integer, since Integers are whole numbers and their opposites {..., -3, -2, -1, 0, 1, 2, 3, ...}. equal to zero that do not have a fraction or decimal {0, 1, 2, 3, ...}. Whole numbers are a subset of integers. All whole numbers are integers.

If you burn 10 calories each minute you jog. What integer represents the change in your calories after you jog for 20 minutes

Answers

Answer:

200

Step-by-step explanation:

10 × 20 = 200

have a good day

there are 34 people
I walk into the garden
You kill 30 people
how many people are in the Garden ?
Answer quick plz

Answers

Answer:

I guess 34 because the dead people were still in the garden

there are 6 people including me and you

Help me brooo please

Answers

What is the question

At the beginning of the day, the stock market
goes up 302 points. At the end of the day, the
stock market goes down 1202 points. What is
the total change in the stock market from the
beginning of the day to the end of the day?

Answers

Answer:

-900

Step-by-step explanation:

What is the word form for 2.26

Answers

Answer:

Im pretty sure it's two and twenty six thousandths

Answer:

Two and twenty six tenths

Which expression is equivalent to the given expression?
(10c6d-5)(2c-5d4

Answers

Answer:

if you simplify the expression you will get

[tex]20c^{7}d - 20 {c}^{6} {d}^{2} [/tex]

Answer:

20c/d

Step-by-step explanation:

I got it right. Hope this helps.

SOLVE:
-30 - 6

Please also explain how you got your answer. thank you

Answers

Answer:

-30 - 6 = -36

Step-by-step explanation:

If you take away 6 from -30 you get -36! I hope this helps you out :).

-24

Step-by-step explanation:

a negative plus or minus a positive will always be negative! and just subtract nor mally like 30 - 6 = 24 and just add the sign after! which gives you -24

Boom hoped i helped bud

WRITE EACH PROPORTION:
1: 48 is to 32 as 3 is to 2
2: 6 adults is to 10 children as 18 adults is to 30 children.
3: If 12 pens cost $4, then 33 pens will cost $11.

Answers

Answer:

hmmm... some are already recduced...

1) 3:2

2) 3:5

3) 3:1

Step-by-step explanation:

Which point has a coordinate with the
greatest absolute value?
L
B
N
с
-10 -8 -6 -4 -2
0 2 4
A. Point B
B. Point C
C. Point L
D. Point N

Answers

Answer:

d point n I think that's the answer

22. Jesse's fish hook was 12 feet below the top of the water. He let out
some of his line, and the hook sunk another 3 feet. What is the depth of the
fish hook now? Write an addition problem, and then give the answer.

Answers

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

Marcus wants to buy a gallon of orange juice. If a 1-gallon jug costs $4.58
and a quart costs $1.59, how much money would Marcus save by buying the
1-gallon jug instead of multiple quarts?
O A. $2.99
O
B. $0.19
C. $1.78
O D. $1.40
????

Answers

He would save 0.19 by buying one gallon

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 6 fl oz. per minute. How fast was the pipe leaking in gallons per hour?

Answers

Answer:

2.8125 gallons per hour

Step-by-step explanation:

gallon = 128 fl oz

hour = 60 minutes

(6/128) x 60 = 2.8125

6x60=360
360/128=2.8125

The pipe is leaking at 2.8125 gallons per hour

find the value of (4/25)^-1/2

Answers

Hey there! Here's your answer:

2/5 Or 0.4 Or 40%  

Here's an explanation:

(4/25)^1/2 =

√(4/25) =

2/5

Identify the domain of the function shown in the graph.​

Answers

Answer:

C. x is all real numbers.

Step-by-step explanation:

Since the domain is likely infinite, then the domain must be all real numbers so x is all real numbers.

Find the measure of unknown angle​

Answers

Answer:

Step-by-step explanation:

z = 102 degree (opposite angles of a parallelogram are equal)

z + x + 34 = 180 degree 9sum of adjacent angles of a parallelogram is 180 degree)

102 + x + 34 = 180

x = 180 - 136

x = 44 degree

y + 102 + x = 180 degree (sum of interior angles of a triangle is 180 degree)

y + 102 + 44 = 180

y = 180 - 146

y = 34 degree

Answer:

x = 44°, y = 34°, z = 102°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent , then

∠ z = 102°

Consecutive angles are supplementary , then

x + 34° + 102° = 180°

x + 136° = 180° ( subtract 136° from both sides )

x = 44°

∠ y = 34° ( alternate angle

PLEASE HELP!!! The line graph shows Calvin’s savings account balance at the end of each month for 6 months.

About how much more money did Calvin have in his account at the end of June than at the end of April?

Assessment graphic


$50


$75


$90


$25

Answers

Answer:

$20

Step-by-step explanation:

Answer:

I know the answer now its 25$

Step-by-step explanation:

I figured it out

what is the square root of 93

Answers

Step-by-step explanation:

[tex]\sqrt{93}\approx 9.64365[/tex]

I need help with #41 and #42 ASAP please help me

Answers

Answer:

4 is the answer to the 1st question

A movie started at 22 45. The movie ended at 01 32 the next day. Calculate the duration of the movie.

Answers

Answer:

2 hours and 47 minutes.

Step-by-step explanation:

If it makes it easier then translate it to normal time.

10:45 pm and 1:32 am.

2 hrs and 47 minutes.

Answer:

2 hours and 47 minutes is the duration of the movie.

Step-by-step explanation:

I have calculated it :-)

Simplify the expression below and show your work.

PLEASE ANSWER!! ASAP!

Answers

Answer:

[tex] \frac{2 {x}^{2} \sqrt{2 \times z} }{z} [/tex]

Step-by-step explanation:

attached

SOMEONE PLEASE ANSWER!!!!
Evaluate each expression for t = 0, x = 1.5, y = 6, and z = 23
1. y + 5 = ??

2. z - 2x = ??

3. 2z - 2y = ??

4. 2.6y - 2x =??

5. 4(y - x) = ??

6. 4(2 + z) + 5 = ??

Answers

Answer:

1. 11

2. 20

3. 34

4. 12.6

5. 18

6. 105

Step-by-step explanation:

We are told that ---> t = 0, x = 1.5, y = 6, and z = 23

1. y + 5

= 6 + 5

= 11

2. z - 2x

= 23 - 2(1.5)

= 23 - 3

= 20

3. 2z - 2y

= 2(23) - 2(6)

= 46 - 12

= 34

4. 2.6y - 2x

= 2.6(6) - 2(1.5)

= 15.6 - 3

= 12.6

5. 4(y - x)

= 4(6 -  1.5)

= 24 - 6

= 18

6. 4(2 + z) + 5

= 4(2 + 23) + 5

= 8 + 92 + 5

= 105

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