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koban [17]
2 years ago
9

Greatest common factor 6, 48

Mathematics
2 answers:
aev [14]2 years ago
8 0

Answer:

6 is the greatest common factor

Step-by-step explanation:

guajiro [1.7K]2 years ago
7 0

Answer:

the Greatest common factor is 6.

You might be interested in
The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
A solid has faces that consist of 1 pentagon, 5 congruent equilateral triangles, and 5 congruent squares. The solid has 11 verti
mrs_skeptik [129]
So the solid consist of 1 pentagon, 5 congruent equilateral triangle and 5 congruent squares and has 11 vertices so the number of edges of this solid is 20. I hope you are satisfied with my answer and feel free to ask form more if you have more clarifications.
5 0
3 years ago
F(x)=<img src="https://tex.z-dn.net/?f=%28x%2B1-%7Cx-1%7C%29%2F2" id="TexFormula1" title="(x+1-|x-1|)/2" alt="(x+1-|x-1|)/2" ali
katrin [286]

Answer:

  f(g(x))=\dfrac{|x|+1-||x|-1|}{2}

Step-by-step explanation:

The most straightforward way is direct substitution of g(x) for x in f(x):

  f(g(x))=\dfrac{|x|+1-||x|-1|}{2}

8 0
3 years ago
Use the given information to write an equation and solve the problem.<br> (28-31 in the picture)
tia_tia [17]

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

3 0
2 years ago
Read 2 more answers
1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the
Mamont248 [21]

Answer:

The two numbers are 52 and 12.

Step-by-step explanation:

x+y=64

x=16+3y

Now, substitute the second equation into the first one.

16+3y+y=64

16+4y=64

4y=48

y=12

Substitute 12 into one of the equations in order to find x.

x=16+3(12)

x=16+36

x=52

5 0
3 years ago
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