Find the Midpoint of the segment with the following endpoints (2,10) and (8,4)

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

6 0

Answer:

(4,5)

Step-by-step explanation:

Leave a like

Alex_Xolod [135]3 years ago

4 0

Answer:

midpoint = (5,7)

Step-by-step explanation:

Use the midpoint equations. x1 + x2 / 2 and y1 + y2 / 2

2 + 8 = 10/2 = 5

10 + 4 = 14/2 = 7

You might be interested in

A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure anti

Brums [2.3K]

$\bf \begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{antifreeze}&\stackrel{\textit{gallons of }}{antifreeze}\\ \cline{2-4}&\\ \textit{1st brand}&x&0.65&0.65x\\ \textit{2nd brand}&y&0.90&0.9y\\ \cline{2-4}&\\ mixture&40&0.8&32 \end{array}~\hfill \to \begin{cases} x+y&=40\\ \boxed{x}=40-y\\ \cline{1-2} 0.65x+0.9y&=32 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{substituting in the 2nd equation}}{0.65\left( \boxed{40-y} \right)+0.9y=32}\implies 26-0.65y+0.9y=32 \\\\\\ 26+0.25y=32\implies 0.25y=6\implies y=\cfrac{6}{0.25}\implies \blacktriangleright y=24 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=40-y\implies }x=40-24\implies \blacktriangleright x=16 \blacktriangleleft$

7 0

3 years ago

Read 2 more answers

The sum of a student's three score is 246. if the first is 14 points more than the second, and the sum of the first two is 6 mor

mr_godi [17]

Let the second score = x
⇒ second score = x

the first is 14 points more than the second
⇒ first score = x + 14

the sum of the first two is 6 more than twice the third
⇒ third score = 1/2 (x + x + 14 - 6) = x + 4

The sum of a student's three score is 246
⇒ x + (x + 14) + (x + 4) = 246

Solve x:
x + x + 14 + x + 4 = 246
3x + 18 = 246
3x = 228
x = 76

second score = x = 76
first score = x + 14 = 76 + 14 = 90

Answer: 90

7 0

3 years ago

Arthur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189to buy the new coat that he wa

Pani-rosa [81]

136 + x = 189
-136 -136
x = 53
Arthur must earn $53 in the next week to buy the new coat.

6 0

4 years ago

Anya's grandparents decide they want to invest at the bank. They have $35,000

Aneli [31]

Anya's parents will have $44,440.71 after 6 years if they invested in a bank.

The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.

= 4% / 4 quarters

= 1% per quarter

Number of periods:

= Number of years x Number of quarters in year

= 6 x 4

= 24 quarters

The amount they will have in their account is:

= Amount x ( 1 + rate) ^ number of periods

= 35,000 x ( 1 + 1%)²⁴

= $44,440.71

In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.

Find out more at brainly.com/question/13861384.