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11111nata11111 [884]
3 years ago
7

What is the factored form of a2 – 121?

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

The factored form is given by (a+11)(a-11)

Step-by-step explanation:

We have been given the expression a^2-121

We can write 121=11^2

Thus, we have

a^2-11^2

Now, using the formula for difference of squares, which is given by

a^2-b^2=(a+b)(a-b)

On comparing the above expression, with the given formula, we get a=a, b=11. Thus, we have

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

Therefore, the factored form is given by (a+11)(a-11)


SOVA2 [1]3 years ago
6 0
On this equation this formula implies: (a2-b2)=(a+b)(a-b)
so the factored form of equation a2-121 will be:
(a+11)(a-11)
hope that helps :)

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Which function models the area of a rectangle with side lengths of 2x - 4 units and x + 1 units?
aalyn [17]

Answer:

Area of rectangle, f(x)=2x^2-2x-4.

Step-by-step explanation:

We are given with side lengths of a rectangle are (2x-4) units and (x+1) units. It is required to find the area of rectangle.

The area of a rectangle is equal to the product of its length and breadth. It is given by :

A=L\times B

Let us consider, L = (2x-4) units and B = (x+1) units

Plugging the side lengths in above formula:

A=(2x-4)\times (x+1)

A=2x^2+2x-4x-4\\\\A=2x^2-2x-4

So, the function that models the area of a rectangle is f(x)=2x^2-2x-4.

5 0
3 years ago
Given: <br><br>EM, EQ-secants<br><br>Prove: MP·EW=WQ·EP
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

A secant is a straight line from a point outside a given circle that passes through two points on its circumference.

From the given diagram, EM and EQ are secants.

Thus,

<PEW ≅ <WEP    (common angles)

<EMP ≅ <EQW (secant-chord theorem)

<WMP ≅ <PQM (inscribed angles of arc WP)

Therefore,

\frac{EW}{WM} = \frac{EP}{PQ}   (corresponding sides of a triangle)

This implies that,

EW*PQ = EP*WM

Therefore,

MP*EW = WQ*EP  (properties of a similar triangle)

7 0
3 years ago
Help with this pls!!!
Pepsi [2]
B is the answer I know because I took the test
4 0
3 years ago
1. what is 60% of 50? 20 or 30?<br> 2. 50% of 40? 20 or 30<br> 3. 12% of 50? 20 or 30
34kurt

Answer:

1: 30

2: 20

3: 6

Step-by-step explanation:

1:   .60 x 50 = 30

2:  .50 x 40 = 20

3. .12 x 50 = 6

Idk why your two answers for 3 are 20 and 30 but neither of those are the answer

5 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (8,8) and (20, -2)?
Sindrei [870]

Answer:

-5/6

Step-by-step explanation:

Use slope intercept form: \frac{y_2-y_1}{x_2-x_1}

\frac{-2-8}{20-8} = \frac{-10}{12} = -5/6

3 0
3 years ago
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