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kozerog [31]
3 years ago
12

Is the midpoint of a line segment is found by averaging the x coordinates and averaging the y coordinates of the endpoints

Mathematics
1 answer:
Serhud [2]3 years ago
6 0
Yes, that's the definition of "midpoint."

                      xa + xb
xmidpoint = --------------
                           2

                      ya + yb
ymidpoint = --------------
                           2
You might be interested in
Find x value 55 2x+11
julsineya [31]

Answer:

x=22

Step-by-step explanation:

break it down:

55-11 = 44

so 44/2 = 22

therefore

x=22

8 0
3 years ago
If f(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B3%7D%7B4%7D" id="TexFormula1" title="\frac{x+3}{4}" alt="\frac{x+3}{4}
natulia [17]

Answer:

option (b) is correct

inverse of function  f(x)=\frac{x+3}{4} is 4x+3

Step-by-step explanation:

Given function f(x)=\frac{x+3}{4}

We have to find the inverse of given function.

Let f(x) = y then taking inverse both sides, we get

f^{-1}(y)=f^{-1}(f(x))\\\\\ f^{-1}(y)=x

Substitute , x  and f(x) in given equation, we get,

f(x)=\frac{x+3}{4} \Rightarrow \frac{(f^{-1}(y))+3}{4}

Now solve for (f^{-1}(y)) , we get,

(f^{-1}(y))+3=4y

(f^{-1}(y))=4y-3

Thus, inverse of function  f(x)=\frac{x+3}{4} is 4x+3

Thus, option (b) is correct.

8 0
3 years ago
Read 2 more answers
Calculate the area of the square. Round to the nearest hundredt)
noname [10]

Answer:

144

Step-by-step explanation:

In a 45-45-90 triangle, the ratio of the lengths of the sides is:

leg   :    leg    :    hypotenuse

 1     :     1       :       sqrt(2)

Draw a segment from the center point to the bottom side of the square that is perpendicular to the bottom side. Now you have a right triangle. The hypotenuse is 6sqrt(2). The legs are 6. The bottom leg is half the side of the square.

side of square = 2 * 6 = 12

area = side^2 = 12^2 = 144

8 0
3 years ago
If c=40+20d c is cost d is days if it costs 240$,how many days would you be renting it for?
nasty-shy [4]

The problem is essentially asking us to find d when c = 240. To do this, let's use 240 for c and solve for d.


240 = 40 + 20d

  • Set up

200 = 20d

  • Subtract 40 from both sides

d = 10

  • Divide both sides by 20

You would be renting it for 10 days.

8 0
4 years ago
Jose has determined he needs to have $800,000 for retirement in 30 years. His account earns 6% interest.
bija089 [108]
A. $285,714.29/360 = $793.65
B. $285,714.29
C. $800,000-285,714.29 = $514,285.71

A. P/T(12)
B. P = A/(1+RT)
C. I = PRT or I = A-P

Answer:
P = $285,714.29

Equation:
P = A / (1 + rt)

Calculation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:
P = 800000 / ( 1 + (0.06 × 30)) = 285714.28571429
P = $285,714.29

The principal investment required to get a total amount, principal plus interest, of $800,000.00 from simple interest at a rate of 6% per year for 30 years is $285,714.29.
4 0
3 years ago
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