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Simora [160]
2 years ago
9

The endpoints of EF are E(xE , yE) and F(xF , yF). What are the coordinates of the midpoint of EF?

Mathematics
2 answers:
tatyana61 [14]2 years ago
7 0

Answer:

The coordinates of the midpoint of EF is equal to

(\frac{xE+xF}{2},\frac{yE+yF}{2})

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

In this problem we have

(x1,y1)=(xE,yE)

(x2,y2)=(xF,yF)

Substitute the values in the formula

M=(\frac{xE+xF}{2},\frac{yE+yF}{2})


baherus [9]2 years ago
7 0
I guess you are looking for a general way of writing a midpoint in coordinate system.
we have the following:
E(xe, ye) and F(xf,yf)
then mind point is as follows
((xe+xf)/2, (ye+yf)/2)
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You are buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. In the equation below, ccc represent
Basile [38]

Answer:

The required equation is

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Step-by-step explanation:

Given that, the cost of each box of cookies is $4.

It means,

The cost of 1 box of cookies is $4.

The cost of 2 boxes of cookies is $(4+4)  =$(2×4)

The cost of 3 boxes of cookies is $(4+4+4)  =$(3×4)

The cost of cookies

=(Number of boxes × 4)

The required equation is

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.                                                    

   

8 0
1 year ago
Toner cartridges for the laser printer in your office cost $90 each, including tax. You receive an $8 refund for each empty cart
dimulka [17.4K]
Step One
Figure out the cost for 1 cartridge
Cost =       90
<u>Refund =     8 Subtract</u>
Net cost = 82

Step Two
Find the cost for 14
14 * 82 = 1148    <<<<<< Cost for 14
5 0
2 years ago
1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?
Natasha_Volkova [10]

Answer:

f(n) =4 + f(n-1) \\for\ n>2

Step-by-step explanation:

Given

f(1)=2\\ f(2)= 6\\ f(3)= 10\\ f(4)= 14\\ f(5)= 18

Required

Determine the formula

First, we need to solve common difference (d)

d = f(n) - f(n-1)

Take n as 2

d = f(2) - f(2-1)

d = 6 - 2

d = 4

Represent each function as a sum of the previous

f(1) = 2

f(2) = 2 + 4 = f(1) + 4

f(3) = 6 + 4 = f(2) + 4

f(4) = 10 + 4 = f(3) + 4

f(5) = 14 + 4 = f(4) + 4

Represent the function as f(n)

f(n) =f(n-1) + 4

Reorder

f(n) =4 + f(n-1) \\for\ n>2

7 0
2 years ago
If you are constructing a 95% confidence interval for a normally distributed population when your sample size is 10, what value
Nuetrik [128]

This is something you'll need a T table for, or a calculator that can compute critical T values. Either way, we have n = 10 as our sample size, so df = n-1 = 10-1 = 9 is the degrees of freedom.

If you use a table, look at the row that starts with df = 9. Then look at the column that is labeled "95% confidence"

I show an example below of what I mean.

In that diagram, the row and column mentioned intersect at 2.262 (which is approximate). This value then rounds to 2.26

<h3>Answer:  2.26</h3>

3 0
2 years ago
A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

A=LW

we have

L=18\ m\\W=12\ m

substitute

A=18(12)=216\ m^2

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

L=(18+2x)\ m\\W=(12+2x)\ m

substitute

A=(18+2x)(12+2x)

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

A=(18+2x)(12+2x)-216

step 4

Find the value of x if the area of the walkway equal the area of the pool

so

(18+2x)(12+2x)-216=216

Solve for x

(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0
2 years ago
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