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3 years ago

Point A is at (3,-8) and point B is at (7,3). What is the midpoint of line segment AB?

Mathematics

2 answers:

UNO [17]3 years ago

8 0

The midpoint is located at the average of the two x-values and the average of the two y-values, whether or not that point has whole number coordinates.

3+7
—— = 5
2

-8 + 3
——— = -2.5 (or -5/2)
2

So the midpoint is (5, -2.5). Notice this doesn’t have an integer coordinate for the y-value.

kkurt [141]3 years ago

4 0

Answer:

(5, -2)

Step-by-step explanation:

because that is the only other place on the line where it is on a actual point

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If you subtract 23.47 km from 560.589 km, how many significant digits would your answer have?

vodomira [7]

560.589 - 23.47 is hmm 537.119 <---- 6 significant digits

alrite... looks good, however, when it comes to dealing with significant digits, for addition/subtraction, we go with the lowest significant amount for decimals, in this case,

560.589 <--- has 6 significant digits, accurate to the 1000th place
23.47 <--- has 4 significant digits, and is accurate to the 100th place

thus, our answer will have to be rounded up in 2 significant decimals, or 537.12
and that only has 5 significant digits, since is rounded up to the 100th place.

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3 years ago

Find standard deviation 22,25 30 35 40 45 48

poizon [28]

Answer:

To calculate the standard deviation of those numbers:

Work out the Mean (the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the mean of those squared differences.

Take the square root of that and we are done!

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3 years ago

The perimeter of a rectangular garden is 38 m and its area is 60 sq.m. What are the dimensions of the garden?

Lina20 [59]

Answer:

15m by 4m

Step-by-step explanation:

x + y + x + y = 38

x * y = 60

Substitute

x = 60/y

60/y + y + 60/y + y = 38

y = 15 or 4

x = 15 or 4

5 0

3 years ago

You have a 10% sugar solution and a 30% sugar solution, but you need a 25% sugar solution to fill your

Juli2301 [7.4K]

<h3>Answers:</h3>

$x+y = \boxed{ \ 8 \ }$

$\boxed{ \ 0.10 \ }x+\boxed{ \ 0.30 \ }y = \boxed{ \ 2\ }$

$\boxed{ \ 2 }$ cups of the 10% sugar solution

$\boxed{ \ 6 }$ cups of the 30% sugar solution

============================================================

Work Shown:

x = number of cups of the 10% solution

y = number of cups of the 30% solution

The two mixes add together to get 8 cups since this is the total amount we want. Therefore, the first equation is simply x+y = 8

Solve for y to get y = 8-x. We'll use this equation later.

-----------------------

The second equation is a bit more tricky.

0.10x = amount of pure sugar from just the 10% batch

0.30y = amount of pure sugar from just the 30% batch

0.10x+0.30y = total amount of pure sugar from both batches

25% of 8 = 0.25*8 = 2 = total amount of pure sugar required

0.10x+0.30y = 2 is the second equation

-----------------------

Apply substitution to solve for x and y

0.10x+0.30y = 2 ..... start with the second equation

0.10x+0.30(8-x) = 2 ....... plug in y = 8-x

0.10x+2.4-0.30x = 2 ..... distribute

-0.20x + 2.4 = 2

-0.20x = 2-2.4 ....... subtract 2.4 from both sides

-0.20x = -0.4

x = -0.4/(-0.20) ..... divide both sides by -0.20

x = 2

Now that we know the value of x, we can find y.

y = 8-x

y = 8-2 ... plug in x = 2

y = 6

So we need 2 cups of the 10% solution and 6 cups of the 30% solution.

-----------------------

As a check,

x+y = 2+6 = 8 works out

0.10*x+0.30*y = 0.10*2+0.30*6 = 0.2+1.8 = 2 works out as well

4 0

3 years ago

6 1/4% as a decimal?

sergij07 [2.7K]

First you have to change it into an improper fraction. The improper fraction would be 25/4% and to find the decimal you take the numerator divided by the denominator. So you would take 25÷4=6.25% The answer is 6.25%. Hope this helps

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3 years ago