A map of the town that Annie, Barbara, and Charlie live in can be represented by the Cartesian plane. Annie is located at $(6,-20)$ and Barbara is located at $(1, 14)$. They agree to meet at the closest point that is equidistant from their current locations and walk upwards together to get to Charlie's location at $\left(\frac{7}{2}, 2\right)$. How many units upward do Annie and Barbara walk together to get to Charlie?

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

Annie is located at (6,-20) and Barbara is located at (1, 14) and they meet at a point equidistant to their current locations.

This means that they have to meet at the midpoint between their two locations. Let the coordinate of the midpoint be (x,y) hence:

[tex]x=\frac{x_1+x_2}{2}=\frac{6+1}{2} =\frac{7}{2}[/tex]

[tex]y=\frac{y_1+y_2}{2}=\frac{-20+14}{2} =-3[/tex]

The point at which they met is at (7/2, -3). Charlie location is at (7/2, 2). Hence the distance upward that they have to move = 2 - (-3) = 5 units

They have to move 5 units upwards


Related Questions

Which other expression has the same value as (-14) - 8

Answers

Answer:

(-20)+(-2)  

Step-by-step explanation:

(-14) - 8 = -22

(-20) + (-2) = -22

9(x+3)=4x-3 can you guys help look for x

Answers

Answer: x=-6

Step-by-step explanation:

9(x+3)=4x-3

9x+27=4x-3 ⇔ distributive property (take off parentheses)

5x+27=-3 ⇔ subtraction property of equality (subtract 4x on both sides)

      5x=-30 ⇔ subtraction property of equality (subtract 27 on both sides)

        x=-6

Hope this helps!! :)

Please let me know if you have any question

Answer:

simplify both sides and get 9x+27=4x+−3 then subtract 4x and get  5x+27=−3 and subtract -27 and divide answer by 5 to get x=-6

--19 - 3x = -2 - 3 (x + 4) = Can someone plsss help me with this problem?

Answers

No solution I think

Answer:

-19-3x= -1(x+4).

-19-3x= -5(x+4).

-19-3x= -5x-1.

-19+1= -5x+3x.

-18= -2x.

x=9.

help and ill give brainly.. trust me its easy

Answers

Answer:

a - right trapezoid

b - isosceles triangle

c - equilateral triangle

d - kite

Answer:

A) [tex]\huge\boxed{Trapezoid }[/tex]

Because of a pair of parallel lines.

B) [tex]\huge\boxed{Isosceles \ Triangle}[/tex]

Because of two equal sides.

C) [tex]\huge\boxed{Equilateral \ Triangle}[/tex]

Because of three equal sides.

D) [tex]\huge\boxed{Kite}[/tex]

Having 2 pairs of equal adjacent sides.

(20 points!) Simplify i^31. A. 1 B. -1 C. i D. -i

Answers

Answer:

-i

Step-by-step explanation:

rewrite

one to any power is one

multiply

rewrite

Answer:

-i

Step-by-step explanation:

i^30 × i

(i^2)^15 × i

(-1)^15 × i

-1 × i

-i

Ashley is looking for ways to save some spending money for her senior class trip to Mexico. She has decided to
stop eating chocolate for one whole year and instead save any money she would have spent on chocolate for the
trip. If Ashley typically spends $2.50 a week on chocolate, how much money, not accounting for interest, can she
expect to save for the trip in exactly one year? $|||

Answers

Answer:

She would have 130 dollars

Step-by-step explanation:

There are 52 weeks in a year. So multiply 2.50 by 52. She would have 130 dollars.

Ashley can expect to save $130 for the trip in exactly one year.

Ashley decided to stop eating chocolate for one whole year to save some spending money for her senior class trip to Mexico.

The amount Ashley typically spends a week on chocolate =  $2.50.

We have to find how much Ashley can save in one year if we can save $2.50 per week.

How many weeks in a year?

There are 365 days in a year and we have 7 days in a week.

If we divide 365 by 7 we get,

365 / 7 = 52.14.

which means 52 weeks.

So in one year, we have 52 weeks.

We can write this statement "Ashley typically spends $2.50 a week on chocolate" as :

1 week = $2.50

Multiply by 52 on both sides.

we get,

52 x 1 week = 52 x $2.50

52 weeks = $130

Thus, we can say that in one year Ashley can save around $130 if she saves $2.50 in a week.

Learn more about savings word problem here:

https://brainly.com/question/24647187

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The net force, F newtons, needed to push a block
to the mass, m kg, of the block. When m = 5
F = 49.
(i) Find an equation connecting F and m.
(ii) Find the value of F when m = 14.
(iii) Calculate the value of m when F= 215.6.
(iv) Draw the graph of F against m.​

Answers

AMSWER

F=m×a

this implies that

a=F/m

a=49/5

a=9.8 m/s^2

(i)F=(m×9.8)N

(ii)F=14×9.8=137.2

(iii)m=F/a

m=215.6/9.8

m=22kg

Which fraction is equivalent to 5/20

Answers

Answer:

1/4

Step-by-step explanation:

You can simplify 5/20 by dividing the numerator and denominator by 5 and getting 1/4

Step-by-step explanation:

The answer is going to be 1/4

Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).

Area =

Perimeter =​

Answers

The area is about 91 units^2
The perimeter is about 39 units

When I double my number, add four, and then subtract my number and subtract three, I get my number plus one. What is my number bruh?

Answers

Answer:

4

Step-by-step explanation:

doubled it equals eight, add four it equals twelve, subtract four it equals eight, subtract three and it equals five. 

2x+4-x-3=x+1

x+1=x+1

x=0 or underfined

did i get it correct

The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a volume of cubic centimeters ​

Answers

Answer:

B and C

Step-by-step explanation:

We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.

Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.

Option A has 15 cubes = 15 cm³ in volume

Option B has 10 cubes = 10 cm³ in volume

Option C has 10 cubes also = 10 cm³ in volume

Option D has 12 cubes = 12 cm³

The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.

Answer:

asdxfcghvjbnkmawerstyuijo

Step-by-step explanation:

MAKE ME BRAINLIEST OR YO GAY

HELP PLEASE You're taking a scenic road trip down CA-Highway 1 from San Jose, California, to Los Angeles. You plan to split the drive into two days, stopping for one night. Choose one town to stop in, and find the driving distance for the second day. 1. Circle the town you chose to stop in. (1 point) Santa Barbara San Luis Obispo 2. Why did you choose this town? (1 point) 3. Define the variable. 4. What is the variable x for this problem? (1 point) Write the equation. 5. Write an equation showing that the distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles. (4 points: 2 points for each side of the equation) Isolate the variable. 6. What inverse operation do you need to perform on both sides to isolate x in the equation? (2 points: 1 point for the correct number, 1 point for the correct operation) Solve the equation. 7. Solve the equation for x. Interpret the answer in terms of the problem. (2 points: 1 point for the solution, 1 point for the interpretation) Check your solution. 8. To confirm that your answer is correct, add the two days' distances. This should equal the total distance from San Jose to Los Angeles. Show your work as an equation. (3 points: 1 point for the setup, 2 points for the correct answer) 9. Your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon on this winding road. To be sure you don't run out of gas, you never want to have less than 1 gallon in the tank. You start with a full tank of gas. Will you need to stop for gas during the first day's drive? Explain how you know, and show your work. (5 points: 3 points for calculating the distance you can go before refilling, 2 points for determining whether you need to stop) 10. You decide to visit San Diego next. You plan to start your trip around 7:00 a.m. There are two suggested routes from Los Angeles to San Diego. Route 1: Using Interstate 15, the trip is 125 miles and you should average 48 miles per hour. Route 2: Using Interstate 5, the trip is 100 miles and you should average 36 miles per hour. (Driving on Interstate 5 at 7 a.m. is no picnic!) Write and solve equations to find the amount of time each route will take. Which route is faster? How many minutes faster is that route? Round answers to the nearest hundredth. (5 points: 2 points for writing correct equations, 1 point for solving the equations, 1 point for identifying the faster route, 1 point for finding how many minutes faster that route is)

Answers

Answer:

((I do not have the answers for one, two, or four))

3.)

•What do you know?

-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.

•What do you want to find out?

-How many miles it is from Santa Barbara to Los Angeles.

•What kind of answer do you expect?

-If using variable, I expect that I will get the number of miles from one city to the other.

5.)

425 = 320 + X

6.)

425 = 320 + X

Subtract 320 from both sides.

7.)

X = 105

From Santa Barbra to Los Angeles it is 105 miles.

8.)

320 + 105 = 425

Write an equation of line in point slope form containing (-1,1) and (4,-9)
Help!!!!!!!!!!!!!!!!!

Answers

9Answer: Y-1=-2(X+1) OR Y+9 = -2(X-4)

Step-by-step explanation:

Point slope form is Y-Y1=m(X-X1)

Slope (M) is (Y2-Y1)/(X2-X1)

SO M= (-9-1)/(4--1)

-10/5

M= -2

Answer:

y - 1 = -2 (x + 1)

Explanation:

point slope form: (y - y1) = m (x - x1)

m is the slope. To find m the formula is:

             (y2 - y1) / (x2 - x1)

The given ordered pairs are: (-1,1) and (4,-9)

y2 is the y in the second ordered pair (-9)

y1 is y in the first ordered pair (1)

x2 is x in the second ordered pair (4)

x1 is x in the first ordered pair (-1)

                = (-9 - 1) / (4 +1)

                 = -10/5

             m = -2

Now plug m (-2), y1 (1), and x1 (-1) into the point slope form

y - 1 = -2 (x - -1)

y - 1 = -2 (x + 1)

find the product of : 0.017 and 10
please type the steps you used to set up the problem and type your steps to solve. ​

Answers

Answer:

0.17

Step-by-step explanation:

0.017 times 10 equals to 0.17

Ben is 6 feet tall. At a certain time of day, Ben's shadow appears on the ground to be 6 feet long. What is the angle of elevation of the sun at this time

Answers

Step-by-step explanation:

let us consider the elevation of the sun is x

then

x=6×6

x=36

Expand the expression using the distributive property. 2(5x – 3)​

Answers

Answer:

10x-6

Step-by-step explanation:

6. Ken has set a daily jogging goal for himself of 3 miles. For four days of the week he has not met his daily goal. These are the percentages of his daily goal that he did achieve: day 1: 85%, day 2: 80%, day 3: 90%, day 4: 90%. How many miles must her run on the fifth day so that he can have achieved his goal over a 5-day period?

Answers

Answer:

Very tough question. Oh I was just kidding but first increase points then I will answer

4+x= 3(x + 2) - 2x
I really don’t get how to this at all like I really don’t get it I need some help

Answers

Answer:

no solution

Step-by-step explanation:

Given

4 + x = 3(x + 2) - 2x ← distribute and simplify right side

4 + x = 3x + 6 - 2x

4 + x = x + 6 ( subtract 4 from both sides )

x = x + 2 ( subtract x from both sides )

0 = 2 ← not possible

This indicates the equation has no solution

what values of a and b would make shown below have infinitely many solutions aX +6=-3x+b

Answers

Answer:

a = -3, b = 6

Step-by-step explanation:

ax + 6 = -3x + b

If a = -3 and b = 6, then the equation would be -3x + 6 = -3x + 6, which would have infinitely many solutions.

If we isolate x, we have (a + 3) x = b - 6. We want the equation to be 0 = 0 for infinitely many solutions, so a has to be -3 and b has to be 6.

ally spent half of her weekly allowance at the movies. to earn more money her parents let her clean the windows in the house for $7. what is her weekly allowance if she is left with $12?

Answers

Answer: Her weekly allowance is 24 dollars

Step-by-step explanation:

If she is left with $12 spending half of her weekly allowance the we could set up the equation.

1/2 of x = 12  where x is her weekly allowance.

1/2x = 12  

x = 24

Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B. Write an expression in terms of r and p.

Answers

Answer:

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

Step-by-step explanation:

Given that:

Last Sunday a certain store sold copies of Newspaper A for $1.00 each

A = 1

and copies of Newspaper B for $1.25 each,

B = 1.25

and the store sold no other newspapers that day. If r percent of the store's revenue from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of Newspaper B.

Then ;

[tex]r = \dfrac{A}{A+1.25B} \times 100[/tex]  --- (1)

[tex]p = \dfrac{A}{A+B} \times 100[/tex]        --- (2)

From (2)

[tex]A+B = \dfrac{A}{p} \times 100[/tex]

[tex]B = \dfrac{A}{p} \times 100-A[/tex]

[tex]B = \dfrac{A( 100-p)}{p}[/tex]

Substituting the value of B into equation (1), we have:

[tex]r = \dfrac{A}{A+1.25 \times { \dfrac{A( 100-p)}{p}}} \times 100[/tex]

[tex]r = \dfrac{A}{A+1.25 \times { A( 100-p)}} \times 100p[/tex]

[tex]r = \dfrac{100p}{p+125 -1.25 p}[/tex]

[tex]r = \dfrac{100p}{125 -0.25 p}[/tex]

multiplying both numerator and denominator by 4; we have

[tex]r = \dfrac{4(100p) }{ 4(125 -0.25) p}[/tex]

[tex]\mathbf{r = \dfrac{400p }{ 500 -p}}[/tex]

is -25 irrational or rational

Answers

Answer:

Rational

Step-by-step explanation:

Rational numbers are numbers that can be written as a ratio of integers.

-25 can be written as -25 / 1.  So it is rational.

Three equal-sized cardboard boxes are stacked on top of each other. Each box is 56.4 cm in height.

What is the combined height of the 3 stacked boxes?

18.8 cm

59.4 cm

112.8 cm

169.2 cm

Answers

Answer:

169.2cm

Step-by-step explanation:

56.4cm + 56.4=  112.8+ 56.4=   169.2cm

The combined height of the 3 stacked boxes will be 169.2 cm so option (D) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Height of one box = 56.4 cm

So,

Height of two boxes = Height of one box + Height of one box

It means

Height of three boxes = Height of one box + Height of one box + Height of one box

So,

Height of three boxes = 56.4 +  56.4 +  56.4

Height of three boxes = 169.2 cm

Hence "The combined height of the 3 stacked boxes will be 169.2 cm".

To learn more about the arithmetic operators,

brainly.com/question/25834626

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Segment EC bisects segment AD at C. Find the value of “x," AD = 6x - 4 and AC = 4x - 3, and the measure of CD.

Answers

Answer: The value of x=1.

Measure of CD =1 unit.

Step-by-step explanation:

Given: Segment EC bisects segment AD at C.

That means , EC divided AD into two equal parts AC and CD,

i.e. [tex]AC=\dfrac{AD}{2}[/tex]  

Also it is given that [tex]AD = 6x - 4[/tex] and [tex]AC = 4x - 3.[/tex]

then, we have

[tex]4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1[/tex]

So, the value of x=1.

Now,  CD = AC = 4(1)-3 =4-3 =1 unit.

Hence, Measure of CD =1 unit.

Find two numbers between – 1.5 and -1.6

Answers

Answer:

-1.51

-1.52

Step-by-step explanation:

Since we need to find a number between -1.6 and -1.5, we need to dive deeper into the decimal.

We need to go to the hundredths place.

The elevation at Mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between Mt. Everest and the Dead Sea

Answers

Answer:

29,513 ft

Step by Step:

1). 29,028 - (-485)

2). Simplify the problem

29,028 + 485

3). 29,513

Factorise completely; 35y+5y-8​

Answers

Answer:

40y-8

8(5y-1) is the answer

40y-8 is the answer




Explanation

subtract - 42 from - 32​

Answers

Answer:

[tex]\boxed{10}[/tex]

Step-by-step explanation:

-32 - (-42)

→ Remember that 2 minuses cancel to make a plus

-32 + 42 = 10

Answer:

[tex] - 32 - ( - 45) \\ = - 32 + 45 \\ = 10[/tex]

Note :

Minus Minus -(-) = plus (+)

evaluate the expression

Answers

Answer:

32

Step-by-step explanation:

We are given the expression:

[tex]\frac{-8(13-37)}{6}[/tex]

and asked to evaluate the expression.

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve inside the parentheses first. Subtract 37 from 13.

⇒ 13-37= -24

[tex]\frac{-8(-24 )}{6}[/tex]

Next, multiply -8 and -24.

⇒ -8*-24= 192

[tex]\frac{192}{6}[/tex]

Finally. divide 192 by 6.

⇒ 192/6 = 32

[tex]32[/tex]

When evaluated, the expression -8(13-37)/6 is equal to 32.

32, first solve what’s within the parentheses, then multiply then divide

Please help me please Please

Answers

Answer:

see explanation

Step-by-step explanation:

The integers between - 4 and 4 are

- 3, - 2, - 1, 0, 1, 2, 3

Note this does not include - 4 and 4

(2)

Integers less than - 10 are

-11, - 12, - 13, - 14 , ....

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