Answer: Completing the square changes the value of the equation.
Step-by-step explanation:
For example we have expression : ![x^2+ax](https://tex.z-dn.net/?f=x%5E2%2Bax)
which is equivalent to ![x^2+2\frac{a}{2}x](https://tex.z-dn.net/?f=x%5E2%2B2%5Cfrac%7Ba%7D%7B2%7Dx)
We add and subtract
to form a complete square.
![x^2+ax+(\frac{a}{2})^2-(\frac{a}{2})^2](https://tex.z-dn.net/?f=x%5E2%2Bax%2B%28%5Cfrac%7Ba%7D%7B2%7D%29%5E2-%28%5Cfrac%7Ba%7D%7B2%7D%29%5E2)
, where
is a perfect square binomial.
Thus, the true statements about the completing squares are:-
- Completing the square will always work.
- When completing the square you add and subtract the same value to the equation.
- When completing the square you create a perfect square binomial.
Completing the square does not change the value of the equation.
Answer: First and third option is correct.
Step-by-step explanation:
Since we have given that
"the quotient of negative eight and the sum of a number and three"
Let the number be 'g'.
So,
Mathematically, it is expressed as
![-8\div (g+3)\\\\=\dfrac{-8}{g+3}](https://tex.z-dn.net/?f=-8%5Cdiv%20%28g%2B3%29%5C%5C%5C%5C%3D%5Cdfrac%7B-8%7D%7Bg%2B3%7D)
According to options, the algebraic expression would be
StartFraction negative 8 Over g + 3 EndFraction
Hence, First and third option is correct.
Answer:
<u>The correct answer is the letter C. </u>
Step-by-step explanation:
We can use the following trigonometric identity:
(1)
(2)
Solving each equation by b and equaling we have:
![\frac{6}{cos(60)}=\frac{c}{cos(45)}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bcos%2860%29%7D%3D%5Cfrac%7Bc%7D%7Bcos%2845%29%7D)
![\frac{6}{cos(60)}=\frac{c}{cos(45)}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bcos%2860%29%7D%3D%5Cfrac%7Bc%7D%7Bcos%2845%29%7D)
Let's recall that:
Then we have:
![c=\frac{cos(45)*6}{cos(60)}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7Bcos%2845%29%2A6%7D%7Bcos%2860%29%7D)
Using equation (1) we can find b.
Finally, we can find a using the next equation:
![tan(60)=\frac{a}{6}](https://tex.z-dn.net/?f=tan%2860%29%3D%5Cfrac%7Ba%7D%7B6%7D)
<u>Therefore, the correct answer is the letter C. </u>
I hope it helps you!
Answer:
Step-by-step explanation:
5(36) + 0.5(180 - 100) $220.00
Its d,
a system is when you have two or more equations. This has only the one equation