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Afina-wow [57]
2 years ago
15

What is the Greatest Common Factor (GCF) of the following terms?

Mathematics
1 answer:
marshall27 [118]2 years ago
3 0

Answer:

2 a b^ 2

Step-by-step explanation:

1. Find the GCF for the numerical part  22 ,  18

2. Find the GCF for the variable part  a ^1 , b^ 3 , a^ 4 ,b^ 2

3. Multiply the values together

1. The common factors for  22,  18  are  1 , 2. The Greatest common factor is 2.

2. Next, find the common factors for the variable part:  a ^1 , b^ 3 , a^ 4 ,b^ 2.

For a^1 it's a itself

For b^3 it's b*b*b

For a^4 it's a*a*a*a

For b^2 it's b*b

The common factors for the variables a ^1 , b^ 3 , a^ 4 ,b^ 2   are  a *b*b.

a*b*b is ab^2

3. Multiply the GCF of the numerical part  2

and the GCF of the variable part ab^2. That is  2 a b^ 2

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Answer:

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Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

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If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

  1/2x +1 = √(x +2)

Squaring both sides, we get ...

  1/4x² +x + 1 = x +2

  1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

  x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

  (x -2)(x +2) = 0 . . . . factor the difference of squares

  x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

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<em>Additional comment</em>

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

  (ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

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2 years ago
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olchik [2.2K]
Y = 4/-3 - 1

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3 years ago
Write log3 6 as a logarithm of base 2.
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2 years ago
Question 2 of 10
AnnyKZ [126]

The length of AB will be 10 units. Option B is corect. The formula for the distance between the two points is applied in a given problem.

<h3>What is the distance between the two points?</h3>

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The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

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The distance between the two points is found as;

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To learn more about the distance between the two points, refer to;

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torisob [31]

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Therefore, the slope is -\frac{1}{2}.

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