Answer:
y = (x+3)² - 1
Step-by-step explanation:
To complete the square take the middle term b and divide by 2. Then square the value.
Here b = 6.
So 6/2 = 3
3² = 9
Add 9 to both sides of the equation.
x² + 6x + 8 = 0
x² + 6x + 9 + 8 = 9
(x+3)² - 1 = y
Answer:
n^23
Step-by-step explanation:
n^3 · n^20 = n^23
(side 1)² + (side 2)² = (diagonal)²
(9.5² + (14)² = (diagonal)²
90.25 + 196 = (diagonal)²
286.25 = (diagonal)²
√286.25 = √(diagonal)²
17 = diagonal
Answer: 17 inches
Answer:
a = 4h.
Step-by-step explanation:
Area (a) = base (b) * height (h).
When h = 2, a = 8:
a = bh
6 = 2b
b = 4
The result 4 is the same for h = 5, 7 and 12.
So the required equation is
a = 4h.
Y = x - 9 meets the y-axis at (0,-9)
y = -2x - 3 meets the y-axis at (0,-3)
This is because for every linear equation, there is a formula corresponding to it as y=mx + c, where (0,c) is where it meets the y-axis. As we assign the value of 0 to x, only c will be left to equal y, being the intercept.