Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
2x + 9 = -65
2x = -65 - 9
2x = -74
x = -74/2
x = -37
So, your final answer is -37
Hope this helps!
50 = x^2
To isolate x you need to do the opposite of an exponent, which would be square root.
![\sqrt{50} = x Next solve what the square root of 50 is[tex]5\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B50%7D%20%3D%20x%20%3C%2Fp%3E%3Cp%3ENext%20solve%20what%20the%20square%20root%20of%2050%20is%3C%2Fp%3E%3Cp%3E%5Btex%5D5%5Csqrt%7B2%7D)
= x
That is the exact form, in other words your answer, if teacher is looking for a decimal, it would be
7.07 = x
<span>The answer is B. B + 0.18B
This expression shows how to calculate the total bill, including tips</span>
Step-by-step explanation:
△BAC ≅ △EDF (given)
Therefore,
BC=EF
x-4=19
x=23
