SIMPLE Factoring by Grouping

1 answer:

7 0

Group together the terms that have "like" variables or constants in them. The first 2 terms both have an x, but the second 2 don't, so the first two are grouped together. The second 2 terms, while they do not have a common variable, both have the number 2. So those are grouped together.
(xa - xb) - (2a + 2b)--> x(a-b) - 2(a-b). Now you can actually factor out the like term (a-b) to get this: (a-b)(x-2).

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Find the surface area of this triangular prism . Be sure to include the correct unit in your answer

shtirl [24]

To find the surface area of a triangular prism , you must follow all steps necessary in order to achieve.

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3 years ago

Which of the following sequences are geometric?

love history [14]

Let's start by first remembering what a "geometric sequence" is. A geometric sequence is a sequence of numbers that multiply by the same number each time. For example,
2, 4, 8, 16
is a geometric sequence since each number is multiplied by 2 from one to the next, but
2, 4, 6, 8
is NOT a geometric sequence. We are adding 2 each time, but not multiplying, so it doesn't count. We have to be multiplying to have a geometric sequence.

[A] Let's look at A, are we multiplying by the same thing?
6*3 = 18
18*3 = 54
54*3 = 162
162*3 = 486
Yes! We are multiplying by 3 each time. This is a geometric sequence!

[B] Are we multiplying by the same thing?
2*3/2 = 3
3*3/2 = 9/2 which is not 5.
NOPE

[C] Are we multiplying by the same thing?
2*5/2 = 5
5*5/2 = 25/2 which is not 8
NOPE

[D] Are we multiplying by the same thing?
-4*1/2 = -2
-2*1/2 = -1
-1*1/2 = -0.5
-0.5*1/2 = -0.25
-0.25*1/2 = -0.125
Yep, we are multiplying by 1/2 each time! This is a geometric sequence!

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3 years ago

Read 2 more answers

Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19? x= 1/3 x=3 1/3

anygoal [31]

Answer:

x =1/3

Step-by-step explanation:

the zero quadratic function is x=1/3

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3 years ago

The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac

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Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

$\displaystyle A=\frac{1}{2}\pi r^2$

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

$\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx$