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lianna [129]
4 years ago
8

What is the factored form of these expressions?

Mathematics
2 answers:
vodka [1.7K]4 years ago
8 0
<span>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

</span><span>(d + 9)2
</span>
<span>2. d2 + 22d + 121
</span><span>x1 = 11 : x2 = 11
11+11 = 22
11x11 = 121

</span>(d + 11)2<span>

</span>3. r2 – 49
x1 = -7 : x2 = 7
-7 + 7 = 0
-7x7 = -49

<span>(r – 7)(r + 7)</span>

gladu [14]4 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)

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23.21
alisha [4.7K]

The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x

<h3>How to determine the equation?</h3>

The attached table of values represents the missing piece in the question.

Start by calculating the rate of change using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (14.77 - 10.55)/(7- 5)

Evaluate

m = 2.11

The equation is then calculated using:

y = m(x - x1) + y1

This gives

y = 2.11(x - 5) + 10.55

Evaluate

y = 2.11x - 10.55 + 10.55

y = 2.11x

Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x

Read more about linear equations at:

brainly.com/question/14323743

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