, 80 POINTS Find k so that P(k,0) is equidistant from points A(1,2) and B(2,5).

ANSWER IN NEXT 20 MIN

Answers

Answer 1

Answer:

P(1.5, 3.5)

Step-by-step explanation:

We need to find the average of the x and y coordinates. We do this by adding the two values, then dividing by two:

P(x1 + x2/ 2, y1 + y2/2) = P(1 + 2/ 2, 2 + 5/ 2) = P(3/2, 7/2) = P(1.5, 3.5)

These are our coordinates!


Related Questions


What is the final answer?

Answers

4 bc I’m smart and I passed
It’s 4 I did it too :)

Y-3=2(x+1) complete the missing value in the solution to the equation

Answers

Answer:

The missing value for y is 3

Step-by-step explanation:

y−3=2(x+1)

We know that x=-1 and we want to solve for y

Put in x=-1

y-3 = 2(-1+1)

y-3 = 2(0)

y-3=0

Add 3 to each side

y-3+3 = 0+3

y =3

common factors of 128 and 192

Answers

Answer:

The greatest common factor of 128 and 192 is 64, because 64 is the highest number that is divisible by both numbers.

The greatest common factor of 128 and 192 is 64 because 64 is the highest number that is divisible by both numbers.

What is the greatest common factor?

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two integers is x and y.

Given that the two numbers are 128 and 192. The greatest common factor is the largest number which is divided into both numbers.

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

The greatest common factor is,

GCF =  2 x 2 x 2 x 2 x 2 x 2

GCF = 64

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Find two positive integers if their difference is 5
and the sum of their squares is 193.

Answers

Answer:

7 & 12

Step-by-step explanation:

7²=49

12²=144

144+49=193

12-7=5

7 & 12

STEP BY STEP EXPLANATION

The solution to a conjunction is the what of the two solutions?

Answers

Answer:

A conjunction is a statement formed by adding two statements with the connector AND. The symbol for conjunction is ‘∧’ which can be read as ‘and’. When two statements p and q are joined in a statement, the conjunction will be expressed symbolically as p ∧ q. If both the combining statements are true, then this statement will be true; otherwise, it is false.

Step-by-step explanation:

hope this helps:)

Estimate to the nearest tenth.
✓52
O 7.0
O 7.2
0 7.6

Answers

Answer:

7.2

Step-by-step explanation:

Will give you Brainliest

Answers

I don't understand it. Explain more.

What is the value of 3(4(-2)+5x3)-2(7(-2)-3x3)

Answers

What is the value of 3(4(-2)+5x3)-2(7(-2)-3x3)
Answer: 67
The answer to you question is 67

Betty has $1,000 in her savings account. The interest rate is 2.5%. How much interest will Betty earn when her money has been in bank for 3 years?

Answers

Answer:

$1,075

Step-by-step explanation:

Use the formula I=PRT where I= interest, P=principle or starting amount, R=interest rate, T=time

1000*0.025*3=75

Add 75 to 1,000, 1,000+75=1,075

OKAY I HAVE A PICTURE NOW PLEASE HELP 40 POINTS I WILL GIVE JUST PLZ THERE WILL BE 4 PARTS BTW PT 1

Answers

Answer:

WHERES THE PICTURE???

Step-by-step explanation:

How do you plug x into both sides of 3x + (-1) = -32 + 699?

Answers

Answer:

x=223

Step-by-step explanation:

Since your equation is : 3x + (-1) = -32 + 699

you wanna combine the like terms 1st and the like terms in this equation would be -32 and 699 so basically you just wanna add them together your new equation should look like this:

3x + (-1) = 667

now you wanna add 1 to 667 your new equation should look like this:

3x  = 668

now you wanna divide 3 from 668 and your gonna get 222.6666666666667

so you wanna round your answer and your gonna get 223 so now you wanna plug in your x and in this case your x will be 223 so now your equation should look something like this: 3(223)+ (-1) = -32 + 69

and now you just wanna solve for your equation

hope this helped.

6 x 160 and explain how you did it

Answers

Answer: 960 AND CALCULATOR

Step-by-step explanation: HAVE A BLESSED DAY!!!!

Answer:

960

Step-by-step explanation:

3

160

x  6

960

Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side of b lies in quadrant 2

Answers

Answer:

cos(a + b) = [tex]\frac{1}{12}(1-2\sqrt{30})[/tex]

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = [tex]-\frac{1}{3}[/tex]

cos(b) = [tex]-\frac{1}{4}[/tex]

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = [tex]-\sqrt{1-(-\frac{1}{3})^2}[/tex] [Since, sin(a) = [tex]\sqrt{(1-\text{cos}^2a)}[/tex]]

         = [tex]-\sqrt{\frac{8}{9}}[/tex]

         = [tex]-\frac{2\sqrt{2}}{3}[/tex]

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = [tex]-\sqrt{1-(-\frac{1}{4})^2}[/tex]

         = [tex]-\sqrt{\frac{15}{16}}[/tex]

         = [tex]-\frac{\sqrt{15}}{4}[/tex]

By substituting these values in the identity,

cos(a + b) = [tex](-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})[/tex]

                = [tex]\frac{1}{12}-\frac{\sqrt{120}}{12}[/tex]

                = [tex]\frac{1}{12}(1-\sqrt{120})[/tex]

                = [tex]\frac{1}{12}(1-2\sqrt{30})[/tex]

Therefore, cos(a + b) = [tex]\frac{1}{12}(1-2\sqrt{30})[/tex]

A wagon is being pulled by a 300-pound force that makes a 30° angle with the ground . What are the horizontal and vertical components of the force vector ?

Answers

Answer:

B

Step-by-step explanation:

Edge 2021

Answer:

b

Step-by-step explanation:

I just finished

the pythagoras school music has 100 students. of these, 60 are in the band 20 are in the orchestra given that 12 students are in both the band amd tge orchestra, how many are in neither the band nor the orchestra?

Answers

Answer:

8 students

Step-by-step explanation:

60 in band

20 in orchestra

12 in both

60+20+12 = 92

100-92 = 8

There are 8 number of students who are neither in band nor the orchestra.

What is Subtraction?

Subtraction of numbers is the process of taking away certain numbers from a given number. This process is also known as finding the difference.

It is one of the basic operations in mathematics along with addition, multiplication and division.

Total number of students in the school = 100

Number of students in the band alone = 60

Number of students in the orchestra alone = 20

Number of students in both orchestra and band = 12

Number of students neither in band nor orchestra = 100 - (60 + 20 + 12)

                                                                                    = 100 - 92

                                                                                    = 8

Now, if the 12 students who are in both the band and orchestra is included in the number of students given in the band and orchestra, then,

Number of students neither in the band nor orchestra = 100 - (60 + 20)

                                                                                          = 20

Hence, number of students neither in band nor in the orchestra is 8.

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Vanessa sold a vehicle and earned a 22%
commission. If the vehicle cost $14,500 what was
Vanessa's commission?

Answers

14500*.22

so it's 3190

PLSSSSS HELP I PLSSSSSSSSS the double number line below shows the number of students in Mr. Fulton's class. It shows the number of students that represents 40 percent of students in Mr. Fulton's class. How many students are in Mr. Fulton's class?

Answers

Answer:

100% = 30. There are 30 students in Mr.Fulton's class

Step-by-step explanation:

If we have 12 as 40%, we divide it by 2 to get the base value which is 6=20%.

Now we multiply the base by 5 so 20% x 5= 100% and 6 x 5 equals 30. so 100% = 30

Answer:

there are 30 students

Step-by-step explanation:

Please help me I don’t get this?

Answers

Answer:

Step-by-step explanation:

ok so the domain is the 1st number in a set of coordinates and the range is the 2nd number in a set of coordinates. the domains are (-1,1,2,4) and the ranges are (-2,1,3,-2). this is a function because each domain has exactly one range.

Answer:

Domain: (-1, 1, 2, 4)

Range: (-2, 1, 3, -2)

Step-by-step explanation:

Domain is all Y values (the #'s that run up & down), & Range is all X values (the #'s that run left & right). All X values to the left, are negative #'s. And all Y values to the right, are positive. All Y values that go up, are Positive. And all Y values that go down the line, are negative. Write the domain & range in the same order.

To check if it's a function:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

If there is any such line, the graph does not represent a function.

If no vertical line can intersect the curve more than once, the graph does represent a function.

What is the slope of this function. f(x)=-3x+5

Answers

The slope would have to be -3

here's a problem for the minds-good luck!

Answers

Answer:

20%

Step-by-step explanation:

Set up a proportion: [tex]\frac{280}{1400} = \frac{x}{100}[/tex]  Cross multiply, then divide: 280 × 100 = 28000, 28000 ÷ 1400 = 20So, 20% were satisfied with their car

I hope this helps!

If The Atlanta Falcons scored 4 touchdowns and 3 field goals and the Packers scored 3 touchdowns and 4 field Goals who would win?

Answers

Answer:

1+1= 11

Step-by-step explanation:

Answer:

Atlanta Falcons would win

Step-by-step explanation:

A touchdown is six points

A field goal is three points

Atlanta Falcons: 4x6=24 & 3x3=9

Packers: 3x6=18 & 4x3=12

Atlanta Falcons: 24+9=33

Packers:18+12=30

Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?


Jason is saving up to buy a digital camera that costs $490. So far, he saved $175. He would like to buy the camera 3 weeks from now. What is the equation used to represent how much he must save every week to have
enough money to purchase the camera?

Answers

Answer: $22.05 each

53.70 - 9.60 = 44.10

44.10 divided by 2 is 22.05

Answer:

Step-by-step explanation:


Factorise
x+ 9x - 36

Answers

Answer:

(x+12)(x_3)........

Combine and simplify the following radical expression. √5+√3/√3-√5

Answers

Answer:

the answer should be 10

What is the slope of m of the table? what is the y intercept b of the table?

Answers

Answer:

The slope is increasing by+4

Step-by-step explanation:

3/4 divided by 7 is ___

Answers

Answer:

the answer is 3/28

Step-by-step explanation:

please help only if u actually know the answer

Answers

Answer:

Domain is all real numbers if they want specifics ig you could say

{-4,-3, 0, 2, 3}

Step-by-step explanation:

Answer:

{-4,-3,-2,-1, 0, 1, 2, 3} <--assuming we are only using whole numbers

{-4,-3,0,2,3}  <-- If your only using the points given

Step-by-step explanation:

Domain is the x values

Range is the y values

3 is the farthest/biggest x value

-4 is the least/smallest x value

Therefore the domain is {-4,3}

But since the instructions say "write the numbers in the domain," assuming we are using only whole numbers, the answer is {-4,-3,-2,-1, 0, 1, 2, 3}.

BUT

{-4,-3,0,2,3} is the answer if you only are allowed to use the x values of the given points.

A vegetable garden is in the shape of a parallelogram with the dimensions shown.Parallelogram A B C D is shown. The length of A B is (4 r minus 2) feet, the length of B C is (2 r + 12) feet, and the length of A D is (3 r + 8) feet.

How many feet of fencing are needed to enclose the garden?

54 feet
68 feet
108 feet
140 feet

Answers

Answer:

t needs 68 feet to enclose the garden.

Step-by-step explanation:

In this problem, we are to solve the sides of a parallelogram ABCD to know the measurement to enclose a garden.

Take note that a parallelogram has two equal lengths and two equal widths. Let us assume that the parallelogram AB = CD is the length and AD = BC is the width.

Solving the problem

First, let us solve for r using the condition AD = BC

AD = BC

3r + 8 = 2r + 12

Simplify the equation

3r - 2r = 12 - 8

r = 4

Next, let us substitute the value of r to AB, BC, CD, and AD.

For AB:

AB = 4r - 2

AB = 4(4) - 2

AB = 16 - 2 = 14

For BC:

BC = 2r + 12

BC = 2(4) + 12

BC = 8 + 12 = 20

For AD:

AD = 3r + 8

AD = 3(4) + 8

AD = 12 + 8 = 20

For CD:

But AB = CD Therefore, CD = 14

Finally, let us solve the perimeter of the parallelogram

Perimeter = AB + BC + CD + AD

Perimeter = 14 + 20 + 20 + 14

Perimeter = 68 feet

Therefore, the fencing needed to enclose the garden is 68 feet.

To learn more, just click the following links:

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

1+1+1+1+1+1+1+1+1 R
Write an equation to represent the image.

Answers

Answer:

(9)R

Step-by-step explanation:

(9) R. Would be the answer

A 270 inch pipe is cut into two pieces one piece is 5 times the length of the other, find the length of the shorter piece

Answers

Answer:

the shorter stick is 45 inches

Step-by-step explanation:

you divide 270 by 6 giving u the length of the shorter piece

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