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Otrada [13]
3 years ago
13

The endpoints of a line segment are at the coordinates (–6, 3, 4) and (4, –1, 2). What is the midpoint of the segment?

Mathematics
1 answer:
natulia [17]3 years ago
7 0

Answer:

( - 1,1,3 )

Step-by-step explanation:

Use the midpoint formula:

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )

We want to find the midpoint of the line

that has endpoints.

(\frac{ - 6+4}{2},\frac{3+ - 1}{2}, \frac{4+2}{2} )

We simplify to get;

(\frac{ - 2}{2},\frac{2}{2}, \frac{6}{2} )

This finally gives:

( - 1,1,3 )

The correct answer is A.

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Enter 4/5 and 1/3 as a pair of equivalent fractions with the least common denominator between the two fractions.
Reika [66]
Least common denominator is 15, so if you write them both with the denominator 4/5 is 12/15 and 1/3 is 5/15.
8 0
3 years ago
Piper works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on t
gavmur [86]

Piper would make $557.5 in a week in which she made $2050 in sales

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the given parameters are:

Guarantee fee = $250 per week

Commission = 15%

Let the total sales be x and the total amount be y

So, we have:

y = Guarantee fee + Commission * x

This gives

y = 250 + 15% * x

The total sales is $2050

This gives

y = 250 + 15% * 2050

Evaluate

y = 557.5

Hence, Piper would make $557.5 in a week in which she made $2050 in sales

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

3 0
1 year ago
Please help!!!
svetoff [14.1K]

Answer:

Step-by-step explanation:

<u>Compound Interest</u>

It's the type of financial calculations that includes the interest of previous periods into the new interests earned by some initial investment or principal P.

If we want to compute the final value FV of a series of n payments R at a fixed compound interest rate i, then

FV=F_m\cdot R

Where

\displaystyle F_m=\frac{(1+i)^n-1}{i}

The question provides us the following data

i=10% compounded twice a year

n=3 1/2 years

FV=15,000

We need to convert the number of periods and the interest rate to a semester base:

\displaystyle i=\frac{10}{100\cdot 2}=0.05

n=3.5\cdot 2= 7\  semesters

Let's calculate Fm

\displaystyle F_m=\frac{(1+0.05)^7-1}{0.05}=8.142

Knowing that

FV=F_m\cdot R

Solving for R

\displaystyle R=\frac{FV}{F_m}=\frac{15,000}{8.142}=1,842.30

Sara should deposit $1,842.30 twice a year to have the down payment for her own restaurant

3 0
3 years ago
Please solve these questions I am hella desperate rn
Reptile [31]

Answer:

Please solve these questions I am hella desperate rn

Step-by-step explanation:

5 0
2 years ago
If y = 9 inches, z = 14 inches, h = 5 inches, and w = 4 inches, what is the area of the object?
vekshin1

Answer:

126

Step-by-step explanation:

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