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3 years ago

What is x^2 +2x+1 divides by x-4

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

Answer:

$\frac{(x+1 )^{2} }{x-4}$

Step-by-step explanation:

Step 1. Rewrite $x^{2}$ + 2x + 1 in the form $a^{2}$ + 2ab + $b^{2}$ , where a = x and b = 1.

$\frac{x^{2}+2(x)(1)+1^{2} }{x-4}$

Step 2. Use Square of Sum: $(a + b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$

$\frac{(x+1 )^{2} }{x-4}$

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AysviL [449]

Answer:

This should be 4x - 8x + 8

Step-by-step explanation:

8 0

3 years ago

Simplify the complex fraction.

weqwewe [10]

Okay, so it might be a little difficult to explain it but here we go:
You find the LCD (lowest common denominator) and multiply the top and bottom half of the fraction by the LCD:
(1/x) times xy (since it is divisible by both x and y)
then you do the same for the bottom (2/y) times xy
The x's on the top cancel out leaving you with 1/y
The y's on the bottom cancel out leaving you with 2/x
So now you multiple the top half (numerator) by the reciprocal of the denominator. In other words, multiply (1/y) by (x/2).
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4 years ago

1. Algebra Find the values for x and y in ABCD.

Marta_Voda [28]

ANSWER

x=12, y=10

EXPLANATION

The diagonals of a parallelogram bisect each other.

This implies that;

AE=EC

$4x = 5y - 2$

$4x - 5y = - 2...(1)$

Also, DE=EB;

$2x = y + 14$

$y =2x - 14...(2)$

Put equation (2) in (1).

$4x - 5(2x - 14) = - 2$

Expand;

$4x - 10x + 70 = - 2$

$- 6x = - 72$

$x = 12$

Put x=2, into equation (2).

$y = 2(12) - 14$

$y = 10$

3 0

3 years ago

What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

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3 years ago

a study showed that a decrease in the costs of carrots led to an increase in the number of carrots. which statements best descri

slava [35]

<h2><em><u>negative relationship and not a causal relationship</u></em></h2>

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3 years ago