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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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What is the value of c in the equation x^15/x^c =x^6
Galina-37 [17]

Step-by-step explanation:

\frac{ {x}^{15} }{ {x}^{c} }  =  { x}^{6} \\  {x}^{15 - c}  =  {x}^{6}

15 - c = 6

15 - 6 = c

9 = c

c = 9

3 0
2 years ago
Find 4 consecutive even integers whose sum is 156?
snow_tiger [21]
X+(x+1)+(x+2)+(x+3)=156
4x+6=156
4x=150
x=37.5 (not an integer)
If x=37 you get 37+38+39+40=154 and if x=38 you get 38+39+40+41=158[/tex]
8 0
3 years ago
Read 2 more answers
Write the standard form of the line passing through the following points (-5,1) and (0,-5)
Ronch [10]

Answer:

-6/5

Step-by-step explanation:

-5-1 / 0-(-5)

3 0
3 years ago
Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.
tester [92]

Given:

Polynomial is 3x^2+15x-56.

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

3x^2+15x-56+(x-8)^2

=3x^2+15x-56+x^2-2(x)(8)+8^2    [\because (a-b)^2=a^2-2ab+b^2]

=3x^2+15x-56+x^2-16x+64

On combining like terms, we get

=(3x^2+x^2)+(15x-16x)+(-56+64)

=4x^2-x+8

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is 4x^2-x+8.

7 0
3 years ago
I need help on both of these please///:(
SCORPION-xisa [38]

14. The distance between the two points is 14.866.

Distance can be calculated with the following formula:

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(12-2)²+(5-(-6))²

d=√10²+11²

d=√100+121

d=√221

d=14.866

15. The distance between the two points is 20.248.

Use the same formula to find the distance.

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(4-(-3))²+(12-(-7))²

d=√7²+19²

d=√49+361

d=√410

d=20.248

4 0
3 years ago
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