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erastovalidia [21]
3 years ago
8

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Answer:

C :) Hope this helps!

Step-by-step explanation:

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Which polynomial can be simplified to a difference of squares
Mrrafil [7]
<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)

<h2>Why?</h2>

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

First=10a^{2}

Second=16a^{2}

Third=25a^{2}

Fourth=24a^{2}

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}

7 0
3 years ago
Read 2 more answers
What is a supplementary angle?
Lelu [443]

Either of two angles whose sum is 180 degrees

5 0
3 years ago
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Simplify this expression 6x+13x=
leva [86]
In order to simplify, let's add 6x and 13x.

We will get 19x, and that is the answer!
3 0
3 years ago
The vertices of a triangle are A(0, 0), B(3, 8), and C(9, 0). What is the area of this triangle?
Harlamova29_29 [7]
Answer: 36 units squared.


Explanation:
Area of a traingle is given by,

| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |

Accepting the values of the coordinates in x's and y's,

x1 =0, y1=0

x2=3, y2=8

x3 =9, y3=0

= | 0.5 × (-72)|
= 36 unit squared.
8 0
3 years ago
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I need helppp<br> It’s for math and I’m clueless
Tcecarenko [31]

Answer:

14

Step-by-step explanation:

x=4 y=1

Substitute them into the equation 3x-4yy+6

3(4)-4(1)+6

12-4+6

5 0
2 years ago
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