Find the distance between the points (-15,3) and (-9,8).

Answers

Answer 1
(-15,3)(-9,8)

Distance:-

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

[tex]\\ \sf\longmapsto \sqrt{(-9+15)^2+(8-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6)^2+(5)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+25}[/tex]

[tex]\\ \sf\longmapsto \sqrt{61}[/tex]

[tex]\\ \sf\longmapsto 7.32units[/tex]

Answer 2

Given info:- Find the distance between the points (-15,3) and (-9,8).

Explanation:-

Distance formulae:

Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}

Let's figure out the distance between two points A = (-15,3) and B = (-9,8).

From those points,

x₁ = -15

x₂ = -9

y₁ = 3

y₂ = 8

Using them in the formula,

Distance btw AB = √[{(-9 - (-15)}² + (8 - 3)²]

= √[(-9 + 15)² + (8 - 3)²]

= √[(6)² + (5)²]

= √[(6*6) + (5*5)]

= √[36 + 25]

= √[61] Units.

Therefore, the distance between A(-25,3) and B(-9,8) is √(61) units.


Related Questions

Write an equation in slope-intercept form of the line shown.

Answers

The equation should be y= 2/-8x

What is 7.83 x10^6 in decimal form

Answers

Answer:

7830000.00

Step-By-Step Explanation:

78 - 783 - 7830 - 78300 - 783000 - 7830000

Answer:   7830000

Step-by-step explanation:

7.83*10^6=

------------->

7.83*10^6=7.83

since the exponent equals 6, lets move the decimal sign 6 places to the right.

7.83*10^6=7.8.3.0.0.0.0.

Result is 7 8 3 0 0 0 0  

7.83*10^6=7830000

What equation represents this sentence?

7 less than a number is 16.


7=16−n

7=n−16

7−n=16

n−7=16 100 ponits

Answers

Answer:

n - 7 = 16

Step-by-step explanation:

as it says "7 less than a number". If it was "a number less than 7" then it would be the 3rd one.

Answer: n - 7 = 16

Step-by-step explanation: i did quiz

3. The value of x varies directly with y,
and when x = 21, y=3.
Find the value of x if y= 10.

Answers

Answer:

70

Step-by-step explanation:

First you want to find the amount of x per 1 y so you divide 21 by 3 to get when x = 7 y = 1. Now you can just multiply 10 by 7 to get 70.

I hope this helps!

Evaluate the expression 9+9+2​

Answers

Answer:

20

Step-by-step explanation:

9+9+2​=20

Hope this helps :)

Answer: 20

Step-by-step explanation:9x2=18 +2=20 or 9+9=18+2=20

patrick is thinking of a number. his number is twice as large as the smallest number that rounds to 30 when rounding to the nearest ten. what is patrick’s number?

Answers

I think the answer is 50 because the smallest number that rounds to 30 is 25 and twice 25 is 50

domain and range of y = x/(x+4)

Answers

Answer:

Step-by-step explanation:

[tex]y=\frac{x}{x+4}[/tex]

for domain x+4≠0

x≠-4

domain={R-{-4}}

R=all real numbers.

y(x+4)=x

yx+4y=x

yx-x=-4y

x(y-1)=-4y

[tex]x=-\frac{4y}{y+1} \\y+1\neq 0\\y\neq -1\\[/tex]

so Range ={R-{-1}}

X/x+4= y or vise versa

Question 6 of 24
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x - 5)2 - 6(x - 5) + 9
B. g(x) = (x + 5)2 - 6(x + 5) + 9
C. g(x) = (x2 - 6x + 9) + 5
D. g(x) = (x2 - 6x + 9) - 5
Micr
SUBMIT

Answers

Answer:

Step-by-step explanation: its b

A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?

Answers

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.

Answer:

Step-by-step explanation:

As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, length is 192 cm.

Rationalize the denominator and simplify the following expression:

fraction numerator 4 plus square root of 2 over denominator 2 space minus square root of 2 end fraction

Answers

let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]

[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]

Help me ASAP now like really fast

Answers

Answer: I think the answer is C.. It looks like an 180 angle from my perspective.

I hope that is correct

Answer:

C

Step-by-step explanation:

Well, we know all the angles must sum up to 180º. From this, we can write the equation ' 3xº + 80º + 2xº = 180º ', which is answer choice C

to convert 13 feet to yards you would use the ratio 1 yard / 3feet or true or false​

Answers

Answer:

True

Explanation:

3 feet is 1 yard so 13/3 is 4.3 yards approximately

True

[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]

3x = 13

[tex]x = \frac{13}{3} yards[/tex]

The sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second. What are the numbers?

Answers

The numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number are x, y and z

Then,

x + y + z = 118  ...(1)

y = x - 8   ...(2)

z = 3y  ....(3)

After solving the above three equation by plugging the value of z in the equation (1) then solve this equation with (2) we will get:

x = 30

y = 22

Then z from the equation (3):

z = 3(22) = 66

Thus, the numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

The following statement is from the contract Peter signed with his Homeowner's Association (HOA).

"Overnight parking on community streets is prohibited. For the purpose of this contract, 'overnight' will be defined as the hours between 11:00 p.m. and 4:00 a.m. The HOA will monitor overnight parking not less than once every calendar week with nightly patrols by community security.

"In the event a car is found parked on community streets overnight and that ownership of the offending car can accurately be verified as a community homeowner, the homeowner will receive one (1) written warning asking him or her to correct the situation. A second and third infraction by the same homeowner, whether or not it is with the same car, will result in a monetary fine as permitted by CC&R guidelines and HOA bylaws. Further infractions (past 3) will result in monetary fines in addition to the towing of the car at the homeowner's expense."

Because of the extremely low ground effects and body profile on his racing car, Peter is unable to drive his car off of the street and onto the driveway. He has parked on the street overnight for the past five weeks. He has received one written warning and one monetary fine from the HOA. What consequences should Peter expect after this week's security check?
a.
His car will be towed.
b.
He will receive another monetary fine.
c.
He will receive a monetary fine and his car will be towed.
d.
A "boot" will be place on his car to prevent him from driving it.

Answers

AAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Shawn has $20.00 to spend. He wants to save $5.00. He buys two ice creams for $1.65 each, what is the maximum number of packets of chocolate can he buy at a cost of $3.45 for each packet and still have at least $5.00 left over
(solve as an inequality)​

Answers

Answer:

3

Step-by-step explanation:

3.45x+2*1.65+5>=20

3.45x+8.3>=20

3.45x>=11.7

after rounding

x>=3

4-3/7. Can u pls help me out

Answers

Answer:

1/7

Step-by-step explanation:

4-3/7

1/7

Hope This Helps You.

Answer:

3 4/7

Step-by-step explanation:

Regroup 4 as 3 7/7.

Subtract 3 7/7 - 3/7 = 3 4/7

There's your answer!

please mark brainliest!

Please help. 7th grade homework. All of these has to be turned in by tomorrow morning.

Answers

Here are the answers;

The first photo: -47/20

The second photo: I can’t really see the photo, sorry!!

The third photo: For a it is 11/2 and for b it is -1/2.


The fourth photo:
I don’t really know what number 6 is asking? The one you circled. Where is the diagram?

Write the equation's of the lines using the given information
m=-2, (3, -7)

Answers

Answer:

y = -2x-1

Step-by-step explanation:

The formula for a line is [tex]y-y_{1} = m(x-x_{1})[/tex].

Plug in the information given in the problem: y-(-7) = -2(x-3)

So you get y+7 = -2x+6.

The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.  

You get y = -2x-1

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft[/tex]

A cable company charges $99 for installation plus $40 per month. If you paid $459 over a period of time, How many monthes did you use that cable company?

Answers

Answer:

9 months

Step-by-step explanation:

99 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 = $459

We can see that the number of 40's has been repeated 9 times. So therefore, 9 months is our answer.

g^x+1 =27 solve for x

Answers

Answer:x=-3.5

Step-by-step explanation:

What is the inequality graphed below?

Answers

Answer:

y>=5/3x+5

Step-by-step explanation:

line is y=5/3x+5

shading is above the line

line is shaded

y>=5/3x+5

Myra ordered 648 roses for her flower shop. Her helpers made boquets for every 8 roses.How many bouquet of roses were made for sale?What is the solution​

Answers

bouquet of roses were made for sale : 648/8 = 81

ok done. Thank to me :>

Expand and simplify.
(x + 1)(2-6)

Answers

(X+1)(2-6)
:(x+1)(4)
(X+1)
-4x+1)
-4x-4 answer correct.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

Where is the problem?

Step-by-step explanation:

Mrs. Sparks is a 9th-grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores. PLZ HELP 100 POINTS

Answers

Answer:

ninth grade teacher is going   skipping 30  to each class

Step-by-step explanation:

Will give brainliest!
We know that a + b + c = 7 and [tex]\frac{1}{a+b} + \frac{1}{b+c} +\frac{1}{a+c} =\frac{7}{10}[/tex]. What is the value of [tex]\frac{10a}{b+c} +\frac{10b}{a+c} +\frac{10c}{a+b}[/tex]?

Answers

Answer:

19

Step-by-step explanation:

Note that

[tex]\dfrac{10a}{b+c} + \dfrac{10b}{a+c} + \dfrac{10c}{a+b} = 10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right)[/tex]

and

[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b}=\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]

from [tex]a+b+c=7 \implies a=7-bc; b = 7-a-c; c = 7-a-b[/tex]

and

[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b} = 7\left(\dfrac{1}{a+b}+\dfrac{1}{b+c}+\dfrac{1}{a+c}\right)-3[/tex]

because it is not difficult to note that

[tex]$\sum \dfrac a{b+c}=\dfrac a{b+c}+\dfrac b{c+a}+\dfrac c{a+b}$[/tex]

Therefore,

[tex]7\left(\dfrac{7}{10}\right)-3 = \dfrac{49}{10}-3 =\boxed{ \dfrac{19}{10}} = \dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]

Finally,

[tex]10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right) = 10 \cdot \dfrac{19}{10} = 19[/tex]

Three classes at a junior high school raised money to buy a new computers.

Answers

Answer:

what's the question...?

Step-by-step explanation:

Leave a comment?

What is the average number of 20 14 28 18

Answers

Step-by-step explanation:

Avg = 20 + 14 + 28 + 18 /4

Avg = 80/4 = 20

what is the last number


lol​

Answers

Answer:

Infinity probally. But there is a number called the god's number reported by Galileo in which he states a number in which the enitre universe fits.

Math
........................................................................

Answers

Answer:

i believe the and\swe is g because it is located within the boundaries of plane p but is on a line (not the green segments) that goes outside of plane p

Step-by-step explanation:

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