What is the factored form of these expressions?

2 answers:

8 0

To factor out the expressions, we need to find two integers where the sum is equal to the coefficient of the second term and the product of the integers is equal to the constant.
1. d2 + 18d + 81
x1 = 9 : x2 = 9
9+9 = 18
9x9 = 81

(d + 9)2

2. d2 + 22d + 121
x1 = 11 : x2 = 11
11+11 = 22
11x11 = 121

(d + 11)2

3. r2 – 49
x1 = -7 : x2 = 7
-7 + 7 = 0
-7x7 = -49

(r – 7)(r + 7)

gladu [14]3 years ago

4 0

Answer:

Step-by-step explanation:

1. d2 + 18d + 81

x1 = 9 : x2 = 9

9+9 = 18

9x9 = 81

(d + 9)2

2. d2 + 22d + 121

x1 = 11 : x2 = 11

11+11 = 22

11x11 = 121

(d + 11)2

3. r2 – 49

x1 = -7 : x2 = 7

-7 + 7 = 0

-7x7 = -49

(r – 7)(r + 7)

You might be interested in

A group of students went on a hike and measured the change in elevation over the length of the trail. They plotted these data on

Lyrx [107]

The correct answer for this question is this one: "y = -x + 2"

 y - intercept = (0,2) slope = -1

y = mx + b
2 = -1 (0) + b
b = 2

so the equation of the line is
y = -x + 2
Hope this helps answer your question and have a nice day ahead.

6 0

3 years ago

How do you solve: f(x)=In(3x)?

LenKa [72]

Undefined is the answer because there is no value for x

7 0

3 years ago

Please help asap!

allochka39001 [22]

Answer:

See below

Step-by-step explanation:

The solution choices all agree that x = 1±√2. The second equation tells you ...

y = ±2√(x+2)

so the sign of the √2 term in x is the same as the sign of the √2 term in y. The answer choices circled in red are the ones that meet this requirement.