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3 years ago

Find the midpoint of the segment with the following endpoints. (10,7) and (5, 4)

Mathematics

1 answer:

Alborosie3 years ago

4 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{(7.5 \: , \: 5.5)}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( 10 , 7 ) be ( x₁ , y₁ ) and B ( 5 , 4 ) be ( x₂ , y₂ )

Finding the midpoint 

$\boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2})}}$

$\dashrightarrow{ \sf{( \frac{10 + 5}{2} \: , \: \frac{7 + 4}{2} )}}$

$\dashrightarrow{ \sf{( \frac{15}{2} \: , \frac{11}{2}}} )$

$\dashrightarrow{ \sf{(7.5 \: , \: 5.5)}}$

Hope I helped!

Best regards! :D

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A rectangular prism measures 8 inches by 8 inches by 12 inches. What is it's surface area

Arlecino [84]

64 inches is the correct answer. To get it you need to multiply the length times the width.

(this is incorrect. Sorry for the inconvenience)

3 0

2 years ago

5-2(a+3b)/2 When a=4 and b=1.

nirvana33 [79]

Hello macelynn190!

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\huge \tt \frac{5 - 2(a + 3b)}{2}$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.

Given,

a = 4
b = 1

Now, substitute this in the place of 'a' & 'b'..

$\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}$

Lastly, simplify it...

$\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}$

The answer is -9/2 or -4.5

__________________

Hope it'll help you!

ℓu¢αzz ッ

5 0

2 years ago

Read 2 more answers

Which expression is equivalent to 200? O2./10 1012 10./20 1002

solong [7]

Hey there!

We know options. B and D aren't going to be your answer because they are way too big to be equivalent to 200

In order for you to find out which one is equivalent to 200 you have to calculate you late the options until you get to 200 and then you could do process of elimination!

It can't be A because 2/10 = 0.20 aka 20%

It can't be option. C because 10/20 = 0.50 aka 50%

So none of the above would be your answer

The correct answer would most likely be: 10√2

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

8 0

2 years ago

Solve for x -2x+2-7x= -70

Lostsunrise [7]

Answer:

x=8

Step-by-step explanation:

-2x+2-7x=-70

Minus two from each side.

-2x-7x=-72

Combine like terms.

-9x=-72

Divide -9 from each side.

x=8

7 0

3 years ago

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the bar

san4es73 [151]

Answer:

x = 125 ft and y = 250/3 ft

Step-by-step explanation:

Let assume that,

x be the length of the northern part of the fence (parallel to the north wall)

y be the length of the western and eastern pieces of the fence

As well as farmer has $4000 to spend hence we can write,

8x + 8y + 4y = 4000

8x + 12y = 4000

Hence we can say that,

from the above equation we can write

$y=\frac{4000}{12} -\frac{2x}{3}$

We know that area

A=xy.

$A(x) =\frac{500x}{3}-\frac{2x^2}{3}$

we can write

$A'(x) = \frac{500}{3} -\frac{4x}{3}$

equating it 0 we get

$A'(x) = \frac{500}{3} -\frac{4x}{3}=0$

$x=125$

Also,

$A"(x) = -\frac{4}{3}$

which is less than zero.

we can see that A''(x) is always less than 0 hence using second derivative test we can say that x = 125 is a maximum point.

now, solving for y we get $y= \frac{250}{3}$

Hence we can say that dimensions for the plot that would enclose the most area is,

x = 125 ft and y = 250/3 ft

5 0

3 years ago