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vampirchik [111]
3 years ago
15

What is the mid point of (-3,4) and (5,-2)

Mathematics
1 answer:
tigry1 [53]3 years ago
7 0
To find the midpoint of two points, we use the midpoint formula where M = (x1+x2/2, y1+y2/2).

If we plug in the respective values into this formula, we get:

(-3+5/2, 4+-2/2)

When we simplify the addition and subtraction in the numerators, we get:

(2/2, 2/2)

After dividing each respective part of the ordered pair, we get:

(1, 1)

Therefore, the midpoint is (1, 1).

Hope this helps!
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What are the standard measurement sizes for dry measuring cups?
swat32

Answer:

The standard 4 measuring cup sizes are: 1 cup, 1/2 cup, 1/3 cup and 1/4 cup. With those four cup sizes you can measure dry ingredients for any recipe.

Step-by-step explanation:

7 0
3 years ago
An 18 ounce box of cereal costs $2.76. How many ounces should a box priced at $2.07 contain?
Darya [45]
First you find the unit rate. (Divide 2.76 by 18)
You will find out that each ounce costs $0.15

Then divide 2.07 by 0.15.

The answer is 13.8 ounces.

5 0
3 years ago
What is the first step in simplifying the expression below?
zlopas [31]

Answer:

subtracting 1 from 3 is the correct answer of this question

6 0
3 years ago
The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common
zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

a_n=a_1+d(n-1)

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

so

a_3=9

n=3

substitute

9=a_1+d(3-1)

9=a_1+2d ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

S=\frac{n}{2} [2a_1+(n-1)d]

we have

The sum of the first 8 term is 42

so

S=42

n=8

substitute

42=\frac{8}{2} [2a_1+(8-1)d]

42=4[2a_1+7d]

10.5=2a_1+7d ----> equation B

Solve the system of equations

9=a_1+2d ----> equation A

10.5=2a_1+7d ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

a_1=14\\d=-2.5

The first term is 14

The common difference is -2.5

8 0
3 years ago
What is 12x⁸/3x² in simplest form, where x>0?
Paul [167]

\frac{12 {x}^{8} }{3 {x}^{2} }  \\  =  \frac{12}{3}  {x}^{8 - 2}  \\  = 4 {x}^{6}

<u>Answer</u><u>:</u>

<u>{4x}^{6}</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

4 0
2 years ago
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