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
Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
=2x5
=10
If you have a certain type of calculator it could answer that question easy
Answer:
Concept: Algebraic Manipulation
- 90* 1/6 = 15
- Hence its 15 dollars
- Rate brainlist
Perpendicular slopes have a product of -1, thus
![\bf \cfrac{1}{2}\cdot \cfrac{d}{3}=-1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B1%7D%7B2%7D%5Ccdot%20%5Ccfrac%7Bd%7D%7B3%7D%3D-1)
solve for "d"