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2 years ago

What is the factored form of a2 – 121?

Mathematics

1 answer:

Flura [38]2 years ago

7 0

Answer:

The factored form $a^2-121$ is $(a+11)(a-11)$ .

Step-by-step explanation:

Given : $a^2-121$

We have to write the given expression in factored form.

Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression

Consider the given expression $a^2-121$ .

We know the algebraic identity $x^2-y^2=(x+y)(x-y)$

Here $a^2-121=a^2-(11)^2$ .

Comparing with identity stated above , we have x= a , b = 11 , thus, we get

$a^2-(11)^2=(a+11)(a-11)$ .

Thus, the factored form $a^2-121$ is $(a+11)(a-11)$ .

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Arada [10]

If $y=3x^2+30x+71$ , then
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$y=3((x+5)^2-25)+71=3(x+5)^2-75+71=3(x+5)^2-4$ . So, in the first gap you can write 5 and in the second you can write -4.
Since $(x+5)^2\ge 0$ , the minimum value of y is when $(x+5)^2=0$ . The solution of the last equation is x=-5 and then y=-4 -- these are numbers, which you can write in the third and fourth gaps.

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2 years ago

Read 2 more answers

Consider this equation: -2x - 4 + 5x = 8 Generate a plan to solve for the cariable. Describe the steps that will be used.

nordsb [41]

We are given the function –2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
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The variable x has a value of 4.

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1 year ago

Tom has a fair spinner with six sides.

77julia77 [94]

Answer:

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2 years ago

Benito wrote the equations shown about the figure. Explain Benito’s errors.

Minchanka [31]

Answer:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

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2 years ago

Which of the following best describes the graph below?

Sonja [21]

Answer: Option A

Step-by-step explanation:

A function is one to one if every element in the range (y) has only one value in the domain (x) associated to it, while a function is many to one if some values in the range (y) have more than one element in the domain (x) associated.

In this function, we can see that the function is almost linear and always increases and it is easy to see that each value of y has only one value of x associated (because the line will always increase) the correct option is A.

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2 years ago