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ad-work [718]
3 years ago
9

Explain each step for solving x^2 - 4x=6 by the method of completing the square.

Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Answer:

If you aren't looking for the quadratic solving method then comment it down below and tell me what you're looking for

QUADRATIC EQUATION  

x²- 4x = 6

(x - 2)²- 4 = 6

(x - 2)² = 10

x - 2 = ±10

x = ±10+2

x = -8, 12

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Simplify the algebraic expression. -2(x - 5) + 4(9 + x)
AnnZ [28]

Answer:

2x+46

Step-by-step explanation:

-2(x-5)+4(9+x), Multiply

-2x+10+36+4x, Combine like terms

Simplified= 2x+46

5 0
3 years ago
Examples of an interger that's not a whole number
rusak2 [61]

-1, -5, -60, -123456  In general, those are negative integers.

6 0
3 years ago
How many 3 digit palindromes are divisible by 9?
ludmilkaskok [199]

Interesting problem.

A palindrome is a number which is identical when read/interpreted left-to-right or right-to-left.   For example, 14241 is a palindrome, so is 444444.


A three digit palindrome must be made up of two distinct digits only, one for the first and last digits, and one for the middle, for example, 424, or 515, etc.


For a number to be divisible by 9, the sum of the digits must add up to a multiple of 9, such as 0, 9, 18, 27, etc.


We can now form a table of the possible 3-digit palindromes divisible by 9, starting with the first/last digits (=A), and finding the middle digit (=B).  The number is therefore represented by the pattern ABA.

For example, when A=1, we have the number 1B1.  For the number to be divisible by 9, B=7 so that sum=1+7+1=9, which is divisible by 9.

For each value of A (from 1 to 9) we can only find one value of B that makes the number divisible by 9.   Thus we can only find nine such numbers, with A equal to 1 to 9.

Here's a list of the numbers

A   B   number

1    7    171

2   5    252

3   3    333

4   1     414

5   8    585

6   6    666

7   4    747

8   2   828

9   0   909

3 0
3 years ago
Which expression is equivalent to square root 55x^7y6/11x^11y^8
Novay_Z [31]

Answer:

\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}

Step-by-step explanation:

\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a

=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}

6 0
3 years ago
Calvin has 13 coins , all of which are quarters and nickels. The coins are worth $2.45. How many of each coin does Calvin have ?
zalisa [80]

Answer:

Step-by-step explanation:

6 0
3 years ago
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