WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).

Answers

Answer 1

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]

then I simplified them

[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]

[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]

[tex]-4k + 36 = 0\\[/tex]

[tex]4k = 36[/tex]

[tex]k = 9[/tex]

when k = 9, the two distances are equal


Related Questions

a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal

Answers

Answer:

96 and 192 calories

Step-by-step explanation:

Given

72 calories in a 3/4 cup

Divide both by 3/4 to find the unit rate:

72:3/4 in 3/4:3/496 calories in 1 cup

Then multiply both by 2 to get the calories for 2 cups:

96*2 = 192 calories

the coordinate of point T are (6,12). The midpoint of ST is (3,-8). Find he coordinates of point S. the other endpoint is?​

Answers

Answer:

(0, -28)

Step-by-step explanation:

Midpoint coordinates are equal to average of the value of endpoint coordinates.

One of End points is T (6,12), the other one is S (x, y) and the midpoint is (2, -8)

So midpoint formula applied to both coordinates:

3 = (6+x)/2 ⇒ 6 = 6+ x ⇒ x = 6 - 6 ⇒ x = 0-8 = (12 + y)/2 ⇒ -16 = 12 + y ⇒ y = -16 - 12 ⇒ y = - 28

Point S has coordinates of (0, -28)

given the following sequence 3, 7, 11, 15, 19
a) find the 10th term, the 30th term, and the t^th term
b) find the sum for the first 10 terms and the first 30 terms
c) find the number needed of terms needed to have a sum of 15
d) write an algebraic representation for the sum of the first term

Answers

Answer:

Find it out yourself dude

Step-by-step explanation:

A DESPRITE CRY FOR HELP!!!!

Answers

Answer:

43,51, 86

Step-by-step explanation:

The sum of the angles of a triangle are 180

x+ x+8+2x = 180

Combine like terms

4x+8 = 180

Subtract 8  from each side

4x+8-8= 180-8

4x= 172

Divide each side by 4

4x/4 = 172/4

x=43

x+8 = 43+8 = 51

2x = 43*2 = 86

I got you, bro!

Answer:

x = 43

The angle measures of the triangle, in order from least to greatest, are 43, 51, and 86.

Step-by-step explanation:

4x + 8 = 180

Subtract 8 from both sides.

4x = 172

Divide.

x = 43

Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the following is another way to write this ratio?

1) 1:3

2) 3:4

3) 4:3

4) 7:3

Answers

Answer: 4:3

Step-by-step explanation: Because there are 4 game app for every 3 educational app.

Write as a single power
(-5)(-5)(-5)(-5)​

Answers

I think the answer is 625

Answer:

-5^4

Step-by-step explanation:

I hope this helped.


Find the distance between (-5,3) and (2,-1).

Answers

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

Answer: d=8.06

Step-by-step explanation:

To this the distance between two points, you would need the distance formula.

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

Since we have two given points, all we have to do is plug them in.

[tex]d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}[/tex]              [parentheses]

[tex]d=\sqrt{(7)^2+(-4 )^2}[/tex]                                [exponent]

[tex]d=\sqrt{49+16}[/tex]                                        [add]

[tex]d=\sqrt{65}[/tex]                                                [square root]

[tex]d=8.06[/tex]

Now we know that the distance is d=8.06.

what is the cost of 1 pound of potatoes? Enter the answer in the box.

Answers

about $2.25 for 1 pound of potatoes

Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer

Answers

Not sure about this one

Answer:

omg here is the answer

Step-by-step explanation:

what is the DOMAIN of the graph

Answers

Answer:

The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates,  Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

Last night, Olivia spent 125 hours on her math homework, then 45 minutes on her science homework. What is the total time she spent doing her math and science homework?

Answers

Answer: she spent 126 hours on her math and science homework together

Step-by-step explanation: because i rounded.

Did you misspell it? or did she legit spend 125 HOURS not minutes because if its minutes the answer would be 2hrs 50 min if not it would be 5 days 5hrs and 45 min

If c(x)=x-2 what is the value of x if c(x)=3.5

Answers

Answer:

5.5 = x

Step-by-step explanation:

c(x)=x-2

3.5 = x-2

Add 2 to each side

3.5+2=x-2+2

5.5 = x

One day Freya eats 12 ice creams
in 6 hours and the second day she
eats 14 ice creams in 7 hours. How
many ice creams does Freya eat
per hour?

Answers

Answer:

she ate 2 ice creams per hour

Step-by-step explanation:

2 per hour.

12 ice creams divided by 6 hours: 12/6 =2
14 ice creams divided by 7 hours: 14/7= 2

Hope this helps!
Have a good rest of day!
Make sure you ate today

I need help! With this problem

Answers

Answer:

1.) 5^7     2.) 4^a+b     3.) a^c+d

Step-by-step explanation:

If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)

If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.

Find the value of x.
(2x + 4)
(3x + 1)

Answers

Answer: x= 17°

Step-by-step explanation:

The interior angle of a triangle adds up to 180 degrees. It indicates that it is a right triangle so it already has a 90 degree angle  and if you add it to the two other angles they have to equal 180 degrees.  

(2x + 4 ) ( 3x + 1) + 90 = 180  

5x + 95 = 180

    -95       -95

5x = 85

x = 17

The correct answer is x= 17 make sure you highlight the equations in two different colors so you which equations you put first when your solving

Combine the terms in the following expressions.
a. 10x-4x

Answers

Answer:

6x

Step-by-step explanation:

Step 1:

10x - 4x

Answer:

6x

Hope This Helps :)

Of the total runs made by Indian team during a cricket match Sachin scored 44% and dhoni scored 39% if Sachin scored 30 runs more than Dhoni find the score of indian team

Answers

Answer:

difference in percentage = 44-39=5%

difference in number =30

let total number of run by team be x

5% 0f x= 30

0r 5x = 3000

x= 300/5 = 600

Step-by-step explanation:

Solve this please, and quick

Answers

Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.

Answer:

3.2

Step-by-step explanation:

7x + 12 + 9x = 7

16x + 12 = 7

       - 12    -12

16x = -5

16 divided by -5 is 3.2

x = 3.2

Determine the answer to (−5) + 4 and explain the steps using a number line.

Answers

Answer:

-1

Step-by-step explanation:

when adding on a number line you always go to the right.

-5+4=-1 , so you would move 4 places to the right on the number line.

(-5)+4
-5+4
-1

is the correct answer

for what value of x does f(x)= -2

Answers

Answer:

-5

Step-by-step explanation:

F(x) = y

When y= -2

x= -5

Tier: Homework 1
Solve 2(4y - 5) = 14 983

Answers

Answer:

y = 1874.25

Step-by-step explanation:

2(4y - 5) = 14 983

2*4y + 2*-5 = 14983

8y - 10 = 14983

8y = 14983 + 10

8y = 14993

y = 14993/8

y = 1874.25

Answer:

Step-by-step explanation:

2(4y - 5) = 14

8y - 10 = 14

8y = 24

y = 3

Simplify the expression 3(2x - y) + 2(4x + y).

Answers

here’s the answers
14x-y

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3(2x - y) + 2(4x + y)}[/tex]

Distribute 3 through the parentheses

Similarly , distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{6x - 3y + 8x + 2y}}[/tex]

Combine like terms and simplify

[tex] \dashrightarrow{ \sf{6x + 8x - 3y + 2y}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{14x - y}}}[/tex]

Hope I helped!

Best regards! :D

Sandy is upgrading her Internet service. Fast Internet charges $20 for installation and $50.45 per month. Quick Internet has free installation but charges $52.95 per month.

Answers

okay.. what’s the question

busco novia lesbiana mi inta es Arianaprince1

Answers

chile i speak english maam

Answer:

Step-by-step explanation:

Ok que bueno sigue tu sueño amiga

Which one of these numbers is in the solution set of x - 12= 3? Apex

A. -9
B. 9
C. 15
D. 4

Answers

Answer:

c.15

Step-by-step explanation:

x-12=3

-12+12

 3+12

 x=15

Gabriella expects to earn $50 in tips during her shift as a waitress today. In addition to tips, she earns $8.00 an hour. If she wants to make at least $114 today, how many hours must she work at a minimum? hours

Answers

Answer:

2 hours

(50 $ + 8 $) x 2 = 116

116 > 114

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Answers

Answer:

$16???

Step-by-step explanation:

Because each pizza costs $6 and each topping costs $2 each and they want 5 toppings so you want to multiply 5 X 2 and get 10 then add the 6 therefore the answer is 16!!..

Answer:

$16

Step-by-step explanation:

30 points if you answer

Answers

R+5+3r-14=35

4R-9=35

4R=44

R=11

f(x) = 4x - 2
g(x) = 3x - 1
find (f - g) (2)

Answers

Answer:

Step-by-step explanation:

4x - 2 - 3x + 1 = x - 1 is the solution

You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money

Answers

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)

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