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Ira Lisetskai [31]
3 years ago
13

Factor the expression. d2 − 4d + 4

Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Answer:

(d - 2)²

Step-by-step explanation:

d² - 4d + 4 ← is a perfect square of the form

(x ± a )²  = x² ± 2ax + a²

compare coefficients of like terms

- 2a = - 4 ⇒ a =  2 and a² = 4, hence

d² - 4d + 4 = (d - 2)²


ankoles [38]3 years ago
6 0

Rewrite it in the form a^2 - 2ab + b^2, where a = d and b = 2

d^2 - 2(d)(2) + 2^2

Use the Square of Difference: (a - b)^2 = a^2 - 2ab + b^2

(d - 2)^2

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Consider the equation: 3(–4n – 9) = 21
hram777 [196]

Answer: N=-4

Step-by-step explanation:

STEP

1

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STEP

2

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Pulling out like terms

2.1     Pull out like factors :

  -4n - 9  =   -1 • (4n + 9)

Equation at the end of step

2

:

 -3 • (4n + 9) -  21  = 0

STEP

3

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STEP

4

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Pulling out like terms

4.1     Pull out like factors :

  -12n - 48  =   -12 • (n + 4)

Equation at the end of step

4

:

 -12 • (n + 4)  = 0

STEP

5

:

Equations which are never true:

5.1      Solve :    -12   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    n+4 = 0

Subtract  4  from both sides of the equation :

                     n = -4

One solution was found :

n = -4

7 0
2 years ago
Read 2 more answers
Huddson has practiced a 360-back flip for months. This week, he did it perfectly 24 out of 54 times. At this rate, how many time
iris [78.8K]
Let x = perfect flips out of nine
\frac{24}{54}  =  \frac{x}{9}
54x = 216
x = 4
4 flips
5 0
3 years ago
Use a net to find the surface area of the prism.
lawyer [7]
The surface area of the prism will be given by:
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
SA=426m²

Answer: 426m²
5 0
3 years ago
What is the value of 6x+7y−56x+7y−5 when x = 2 and y = 3?
Bingel [31]
You need to Solve 62+73-562+73-5 which should get you -359
4 0
3 years ago
Find the mean of 81, 97, 99, 89, 91, 76 (round to the hundredths)
Marta_Voda [28]

Answer:

88.83

Step-by-step explanation:

To find the mean of a set of numbers is to find the average a set of numbers.

To solve for the mean you have to add all of the values together and divide that sum by the number of values there are.

Ex. 81, 97, 99, 89, 91, 76

     81 + 97 + 99 + 89 + 91 + 76 = 533

     533 / 6 = 88.83

               ↓

     (number of values)

3 0
3 years ago
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