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olchik [2.2K]
3 years ago
11

Find the Midpoint of the coordinates (-1,4) and (5,7)

Mathematics
2 answers:
Rainbow [258]3 years ago
5 0

Answer:

(2,\frac{11}{2})

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Midpoint Formula: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Endpoint (-1, 4)

Endpoint (5, 7)

<u>Step 2: Find midpoint</u>

  1. Substitute:                    (\frac{-1+5}{2},\frac{4+7}{2})
  2. Add:                              (\frac{4}{2},\frac{11}{2})
  3. Divide:                          (2,\frac{11}{2})
morpeh [17]3 years ago
3 0

Answer:

(2 , 5.5)

Step-by-step explanation:

Use the midpoint formula

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Decimal form

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Mixed Number form

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I hope this helps you!!!

8 0
4 years ago
Factor the greatest common factor out of 8x^3 + 28x^2 + 40x
Liula [17]

Answer: 4x(2x^2+7x+10)

Step-by-step explanation:

The Greatest Common Factor (GCF) of a polynomial is defined  as the largest monomial that is a factor of all the terms of the polynomial.

In this case, given this polynomial:

8x^3 + 28x^2 + 40x

You can factor out the Greatest Common Factor applying this procedure:

1. Write the terms of the polynomial in prime factor form:

8x^3=2*2*2*x*x*x\\\\28x^2=2*2*7*x*x\\\\40x=2*2*2*5*x

2. Identify the factors the terms have in common (this will be the Greatest Common Factor). In this case this is:

GCF=2*2*x=4x

3. Finally,  rewrite the expression in factor form:

4x(2x^2+7x+10)

5 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

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4 0
4 years ago
Give the relevant proportion using correct notation.
nika2105 [10]

Answer:

For this case from the info given we have the estimated proportion of people who thinks that Children of illegal inmigrants should be able to attend public school

So then the value reported 45% or in fraction 0.45 represent the sample proportion fo interest.

\hat p =\frac{X}{n}=0.45

And this value was calculated with a sample of n =1000 people.

And X for this case is 450, because 0.45*1000=450

The real interest is on the population proportion p of people who thinks that Children of illegal inmigrants should be able to attend public school

Step-by-step explanation:

Assuming the following question : "Give the relevant proportion using correct notation. Your answer should be an expression composed of symbols: A recent headline states that 45% Think Children of illegal inmigrants Should Be Able to Attend Public School. The report gives the results of a survey of 1000 randomly selected likely voters in the US."

For this case from the info given we have the estimated proportion of people who thinks that Children of illegal inmigrants should be able to attend public school

So then the value reported 45% or in fraction 0.45 represent the sample proportion fo interest.

\hat p =\frac{X}{n}=0.45

And this value was calculated with a sample of n =1000 people.

And X for this case is 450, because 0.45*1000=450

The real interest is on the population proportion p of people who thinks that Children of illegal inmigrants should be able to attend public school

6 0
3 years ago
Factor the following by grouping 4x^3-12x^2-5x+15
Vaselesa [24]
4x^2(x-3)-5(x-3)
(x-3)(4x^2-5)
8 0
3 years ago
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