Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12, 10). There is a rest stop half way between A and B.

1. Find the coordinates of the rest stop.
2. Find the total distance from A to B.

Answers

Answer 1

Answer:

Question 1: b) Find the total distance from A to B

Distance formula:

d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2

d=Square root of (6-4)^2+(12-8)^2+(10-2)^2

d= 9.165 = 9.17 units

Answer 2

Answer:

1 a

Use the midpoint formula:

m=x1+x2/2, y1+y2/2, z1+z2/2

m= 4+6/2 ,8+12/2, 2+10/2

m= (5 ,10, 6)

Step-by-step explanation:


Related Questions

—5 + 3x + 2 = 12
Solve for x

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Reason abstractly, Evaluate each expression: |13 - 6| = ____

Answers

Answer:

7

Step-by-step explanation:

13-6=7 the other line doesn't affect the answer because it isn't negative

Answer:

7

Step-by-step explanation:

»Solve inside the absolute value sign | |

|13 - 6| = |7|

The absolute value of 7 is just 7:

|7| = 7

Answer: 7

a worker can complete the assembly of 15 chairs in 6 hours. At the rate,how many can the worker complete in a 40-hour work week?​

Answers

Answer:

ooo

Step-by-step explanation:

oooo

Question 2 What is the length of segment BC? a:4 b:5 c:6 d:7​

Answers

Answer:

a

Step-by-step explanation:

hello! I need help on these questions, I’ll give brainlist! :)

Answers

Answer:

1] the original perimeter will be multiplied by three.

2} the original area will be multiplied by 9

Step-by-step explanation:

Tamara walked 5/8 mile in 2 ½ hours. Which of the following represents the unit rate that Tamara walked?

Answers

That the answer for the question you ask for.

Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?

Answers

Answer:

880 rotations

Step-by-step explanation:

Answer:

880 rotations

Step-by-step explanation:

Della went to the market to buy 4.5 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 and received $4.67 as change. She paid $1.62 in taxes and for the fruit. What was the cost for one pound of sliced fruit before taxes

Answers

Answer:

the cost for one pound before taxes is $4.52

Step-by-step explanation:

The computation of the cost for one pound before taxes is shown below:

= Paid a bill + amount - change amount

= $20 + 5 - $4.67

= $20.33

Now the cost of one pound would be

= Total amount ÷ number of pounds purchased

= $20.33 ÷ 4.5 pounds

= $4.52

Hence, the cost for one pound before taxes is $4.52

Jason can travel 23 3/4 miles in 2/3 of an hour. what is his speed in mph​

Answers

Answer:

I agree buster. I can't even run that far.

Step-by-step explanation:

Find the unit rate: 6 children from 2 families.
2 children per family
1/2 children per family
3 children per family
1/6 children per family

Answers

Answer:

The answer is 3 children per family.

Step-by-step explanation:

This is a fraction equal to

6 children ÷ 2 familys =3 children per family.

Just took the quiz.

POSSIBLE POINTS 100
A video rental store charges a $20 membership fee and $2.50 for each video rented. Write a linear equation (y=mx++) to model this situation
y = 20x + 25
y = 2.5x + 20
y = 2.5x + 20
y = -20x + 25

Answers

y = 20 + 2.5x

have to write more or I cant post this

Your answer for this question would be the first one

PLEASE HELP...
A car is bought at the price of $20,000. The value decreases at the rate of .20 every year (t). The exponential expression 20,000(0.80)t describes this situation. Find the price of the car after 3 years.
Question 2 options:

A)

$10,240

B)

$11,874

C)

$5,892

D)

$9,399

Answers

Answer:

$10,240

Step-by-step explanation:

y = 20,000 (.80)^t

y = 20,000 (0.80)^3

0.8^3 = 0.512

0.512 x 20,000 = 10240

Your answer would be A. $10,240.

A system of two linear equations is graphed. The lines have the same slope, but different intercepts. How many solutions does the system have?. A. 0. B. 1. C. 2. D. infinite

Answers

Answer:

D

Step-by-step explanation:

I hope this is correct and have a great day

Guided Practice #3:
A group of adults plus one child attend a movie at the movie theater. Tickets cost $9 for adults and $6
for children. The total cost for the movie is $78. Write an equation using a to find the number of adults
in the group
Use your equation to solve for a (adults).
Click to add speaker notes

Answers

Answer:

8 adults

Step-by-step explanation:

78-6 for the child is 72 and tben since each adult is $9 so $72 divide by $9

Find "x" so that a line drawn through the given points has the given slope. (Sketching the
problem may be helpful.)_
Given: A(x,6) B(2,4)
m=1/3

Answers

Answer:

x = 8

Step-by-step explanation:

Slope is expressed as shown;

m = y2-y1/x2-x1

Given

m = 1/3

Coordinates A(x,6) B(2,4)

Substitute and get x

1/3 = 4-6/2-x

1/3 = -2/2-x

Cross multiply

2-x = 3(-2)

2-x = -6

-x = -6-2

-x = -8

x = 8

Hence the value of x is 8

Samantha Villegas is making pupusas to raise funds for the 9th grade academy. She goes to numero uno market with $12 to buy some ingredients. Samantha gets flour that cost 7.45. She also needs cabbage to make the curtido the cabbage cost 85 cent per pound. How many pounds of cabbage, for curtido could Samantha buy ?

Answers

Answer:

Money she has = 12$ = 12*100 = 1200 Cent

cost of flour = 7.45 $ = 745 Cent

Remaining money = 1200-745 = 455 Cent

cost per pound of cabbage = 85 Cent

Total pound of cabbage that can buy = 455/85 = 5.35 pound

B) Use the table of values to determine if this
relationship is linear or non-linear

Answers

Answer:

 

Step-by-step explanation:

f(x) = 2\3x -6 identifiy 0​

Answers

y+1=-1/3 (x-4) would be your answer love! have a nice day

If 3x−y=12, what is the value of
8x.2y? Explain.

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.

Answers

Answer:

A

Step-by-step explanation:

use the equation x=4+y/3 to find out.

8x + 2y = 24

2y = -8x + 24

y = -4x + 12.....so the slope is -4, and the y int is 12 or (0,12)

to find the x int, sub in 0 for y and solve for x....in either the original equation or the slope intercept equation

8x + 2y = 24

8x + 2(0) = 24

8x = 24

x = 24/8

x = 3.....so the x int is 3 or (3,0)

now plot ur intercepts (3,0) and (0,12)......now start at ur y int (0,12)...and since ur slope is -4, u come down 4 spaces, then to the right 1 space, then down 4, and to the right 1...keep doing this and u should cross the x axis at (3,0)

Answer:

Step-by-step explanation:

A)212

which of the following shows the length of the third side, in inches, of the triangle below?

Answers

Answer:

20 inches

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 15

Hypotenuse c = 25

Step 2: Solve for x

Substitute [PT]:                    x² + 15² = 25²Isolate x term:                      x² = 25² - 15²Exponents:                           x² = 625 - 225Subtract:                               x² = 400Isolate x:                               x = 20

Answer:

20 inches

Step-by-step explanation:

Step 1: Understanding Pythagorean Theorem

The Pythagorean Theorem is [tex]a^{2} +b^{2}+c^{2}[/tex]. It is used to find the side lengths of a right triangle.

Step 2: Using the Theorem

We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.

We can denote -

a - 15

b - unknown

c - 25

(note, c is always the hypotenuse or the longest side of the triangle)

We can plug in the numbers -

[tex]15^{2} +b^{2} =c^{2}[/tex]

[tex]225 +b^{2}=625[/tex]

[tex]b^{2} =625-225[/tex]

[tex]b^{2} =400[/tex]

[tex]b=20[/tex]

Burt's grandparents started a savings account for him when he was born. They invested
$1250 in an account that pays 7.5% interest every year. How much money is in the
account on Burt's 18th birthday?

Answers

Answer:

4594.76 USD will be in the account on Burt's 18th birthday.

Step-by-step explanation:

Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)

Where:

[tex]C_{o}[/tex] - Initial amount, measured in US dollars.

[tex]C[/tex] - Current amount, measured in US dollars.

[tex]r[/tex] - Annual interest rate, measured in percentage.

[tex]t[/tex] - Time, measured in years.

If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:

[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]

[tex]C = 4594.76\,USD[/tex]

4594.76 USD will be in the account on Burt's 18th birthday.

Given angle FGH - angle LMN, which must be true?

Answers

A and I know this because I looked it up and that’s what it gave me

Answer:

A, B, C and E are true. Only D is false.

Step-by-step explanation:

Please help me out!​

Answers

Answer:

4/3

Step-by-step explanation:

Simplify the expression.

–9 – 6(w + 5)
A. –15w + 5
B. –15w + 30
C. –6w – 39
D. –6w + 21

Answers

Answer:

C. -6w-39

Step-by-step explanation:

Answer:

the correct solution is C.-6w-39

Simplify 2 root 1/2 - 6 root 1/8 - 10 root 4/5

Answers

Answer:

0.70710678 is 2 root 1/2 simplified

Step-by-step explanation:

The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
A | 8(2m+3)
B | 8(2+3m)
C | 8(2-3m)
D | 8(2m-3)

Answers

Answer:

The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D

Step-by-step explanation:

Let us find the greatest common factor of 16 and 24

∵ 16 = 1 × 16, 2 × 8, 4 × 4

∴ The factors of 16 are 1, 2, 4, 8, 16

∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6

∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

→ Find the common factors of 16 and 24

∵ The common factor of 16 and 24 are 1, 2, 4, 8

∵ The greatest one is 8

The greatest common factor of 16 and 24 is 8

→ Take 8 as a common factor from 16m and 24

∵ 16m ÷ 8 = 2m

∵ 24 ÷ 8 = 3

∴ 16m - 24 = 8(2m - 3)

The espression 8(2m - 3) shows the length and the width of

   the rectangle

I’m giving 20 points and will give brainliest.

Answers

Answer:

Express 5 72 in simplest radical form:

Factorize the 72 in your expression:  

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

this is the simplest radical form

Step-by-step explanation:

Answer:  Express 5 72 in simplest radical form:

Factorize the 72 in your expression:  

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

this is the simplest radical form

Step-by-step explanation:

HOPE I HELPED

The Great Pyramids of Giza are named the Pyramid of Menkaure, the Pyramid of Khafre and the Pyramid of Khufu. The height and base of each of these pyramids are: 65.5 m by 103.4 m2, 136.4 m by 215.25 m2, 138.8 m by 230.4 m2 respectively. What is the volume of each of the Great Pyramids of Giza?

Answers

Step-by-step explanation:

The volume of a pyramid is equal to one third the product of the area of the base and the height.

Pyramid of Menkaure

Area of Base, B = 103.4 m2

Height, H = 65.5 m

Volume = 1/3 * BH

Volume = 1/3 * 103.4 * 65.5 = 2257.56 m3

Pyramid of Khafre

Area of Base, B = 215.25 m2

Height, H = 136.4 m

Volume = 1/3 * BH

Volume = 1/3 * 215.25 * 136.4 = 9786.7 m3

Pyramid of Khufu

Area of Base, B = 230.4 m2

Height, H = 138.8 m

Volume = 1/3 * BH

Volume = 1/3 * 230.4 * 138.8 = 10598.4 m3

a company that makes hair care products had people try a new shampoo of the 200 people 20 had a mild allergic reaction. what percent of the people had mild allergic reaction?​

Answers

Answer:

4%

Step-by-step explanation:

8 divided by 200 equals 0.04

0.04 times 100 equals 4

Therefore 4 percent of the people had a mild allgergic reaction.

In a paint factory, an old conveyer line has filled 40 barrels of paint, and is filling more at a rate of 1 barrel per minute. A worker just switched on a newer line that can fill 3 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Write a system of equations, graph them, and type the solution.

Answers

Answer:

5 minutes

Step-by-step explanation:

let the time after which two lines will have filled an equal number of barrels is 'X' minutes.

so, according to the question after 'X' minutes;

⇒ number of barrels in old conveyer line = number of barrels in new conveyer line

⇒ 40x + 2X = 10X  

⇒ X = 5

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