MATHEMATICS HIGH SCHOOL

What is the prime factorization of 44?4 x 11
2 x 22
2 x 2 x 11
2 x 2 x 2 x 5

Answers

Answer 1
Answer: The prime factorization of 44 is C, 2x2x11 since all of these numbers (2 and 11) are prime numbers. 4 is not prime, so that rules out A, 22 is not prime, so that rules out B, and 2x2x2x5 equals 40, not 44, which rules that out.
Answer 2
Answer:

Answer:

2x2x11

Step-by-step explanation:

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Solve and verify each of the following of linear eequations

2X+3y=432 and 5x-2y=16

Answers

There are 3 available methods- Substitution , Elimination and Matrix. 

To solve this linear equations lets use Matrix's.  

\left[\begin{array}{ccc}2&3&432\n5&-2&16\n\end{array}\right] 

\left[\begin{array}{ccc}2&3&432\n0&-19/2&-1064\n\end{array}\right] 

\left[\begin{array}{ccc}2&3&432\n0&1&112\n\end{array}\right] 

\left[\begin{array}{ccc}2&0&96\n0&1&112\n\end{array}\right]  

\left[\begin{array}{ccc}1&0&48\n0&1&112\n\end{array}\right] 

x=48 

y=112
2x+3y=432 becomes y=-2/3x+144 and 5x-2y=16 which becomes y=5/2x-8

To solve a three-variable system of equations, you can use a combination of the elimination and substitution mehtods.True or False ...?

Answers

It is true that in order to solve a three-variable system of equations, you can use a combination of the elimination and substitution methods.
This is the best way to solve these kinds of equations, as you get rid of the unnecessary variables. 

Add or subtract the following mixed fractions. all answers must be in simplest form. show all work 7 2/5 - 6 1/5 =

Answers

7 2/5 - 6 1/5
first subtract the fractions, since the denominators are the same.
2/5 - 1/5 = 1/5
Then subtract the whole numbers.
7- 6 = 1
So your answer is 1 1/5
Hope this helps! :)
The answer is:  1 ⅕ .
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7 ⅖ − 6 ⅕ = 1 ⅕ .
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Mom buys a rectangular rug with an area of 7 1/6 square meters. The length of the rug is 3 1/3 meters. What is the width of the rug?

Answers

Answer:

  • 2 3/20 m

Step-by-step explanation:

The area is the product of the length and width

  • The area = 7 1/6 m² = 43/6 m²
  • The length = 3 1/3 m = 10/3 m

Width = ?

  • A = lw
  • w = A/l
  • w = 43/6 ÷ 10/3 = 43/6 × 3/10 = 43/20 = 2 3/20 m

The width is 2 3/20 m

The equation of a line is 2(y + 1) = 10x + 3. The y-intercept of the line is ______ , and the slope of the line is ______.

Answers

Answer:

The y-intercept of the line is (1)/(2), and the slope of the line is 5.

Step-by-step explanation:

The equation of a line is 2 (y + 1 ) = 10x + 3

We have to find y-intercept and slope of the given line.

We will convert this equation into the standard form of the equation of a line.

2(y+1) = 10x + 3

2y + 2 = 10x + 3

2y = 10x + 3 - 2

2y = 10x + 1

y = (1)/(2) (10x + 1)

y = 5x + (1)/(2)

Now the slope of the line is 5 and y-intercept will be (1)/(2).
2(y+1) = 10x + 3
2y + 2 = 10x + 3
2y = 10x +1
y = 10/2x + 1/2

y = 5x + 1/2

Y-intercept is 1/2
Slope/m is 5

Refer to pictures above real help please

Answers

Answer:

38.7°

Step-by-step explanation:

∆ = Tan-1(opposite/ Adjacent)

=Tan-1(8/10)

= 38.66°

= 38.7° to n nearest tenth
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