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nevsk [136]
3 years ago
10

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

The midpoint is (2 , 1)

Step-by-step explanation:

To find the midpoint, we have to add the corresponding coordinates

[(-5 , 3) + (3 , -1)] / 2

we separate into the corresponding

(-5 + 3) / 2 =

-2 / 2 = -1

(3 - 1) / 2 =

2 / 2 = 1

The midpoint is (2 , 1)

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The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the f
Thepotemich [5.8K]

Answer:

the average of this new list of numbers is 94

Step-by-step explanation:

Hello!

To answer this question we will assign a letter to each number for the first list and the second list of numbers, remembering that the last number of the first list is 80 and the last number of the second list is 96

for the first list

\frac{a+b+c+80}{4} =90

for the new list

\frac{a+b+c+96}{4} =X

To solve this problem consider the following

1.X is the average value of the second list

2. We will assign a Y value to the sum of the numbers a, b, c.

a + b + c = Y to create two new equations

for the first list

\frac{y+80}{4} =90

solving  for Y

Y=(90)(4)-80=280

Y=280=a+b+c

for the second list

\frac{y+96}{4} =X\\

\frac{280+96}{4} =X\\x=94

the average of this new list of numbers is 94

4 0
3 years ago
Read 2 more answers
A project on Kickstarter.com was aiming to raise $15000 for a precision coffee press. They ended up with 714 supporters, raising
Leni [432]
For this, we can set up a proportion.
Their aim was 15000, so if they raised 100% of their goal, they wouldve raised exactly 15000.
They raised 557%, so how much did they make?

Proportion:

$15000 100%
$x 557%

Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.

(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )
3 0
3 years ago
Is 2/3 an improper fraction or a mixed number
Drupady [299]
It's neither. 
If it were to be an improper fraction, it would be something like 3/2 instead of 2/3.
If it were to be a mixed number, it would look like 1 1/3.
7 0
3 years ago
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The line having an x intercept of 3 and y intercept of 10<br> Write this in Standard form Ax+By=C
Svetlanka [38]

Answer:

The standard form of the line is 10x + 3y = 10

Step-by-step explanation:

First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)

m(slope) = (y2 - y1)/(x2 - x1)

m = (10 - 0)/(0 -3)

m = 10/-3

Now we can write the equation in slope intercept form since we have the slope and the intercept.

y = mx + b

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Now we can manipulate the equation to get the standard form.

y = -10/3x + 10

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3 years ago
The base of a cylinder has a radius of 5 cm. What is its area?
Oksi-84 [34.3K]

Answer:

157

Step-by-step explanation:

formula- 2 x 3.14 x 5 squared

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157

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3 years ago
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