First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
Answer:
Answer:GCF: y^4
Step-by-step explanation:
Factors of:
y^4= (y) (y) (y) (y) = y^4 (1)
y^5 = (y) (y) (y) (y) (y) = y^4 (y)
y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)
Answer:
<h2>x = 7 cm</h2>
Step-by-step explanation:
The perimeter of the given triangle:
P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.
Therefore we have the equation:
2x + 1 + x + 2 + 3x - 9 = 36 <em>combine like terms</em>
(2x + x + 3x) + (1 + 2 - 9) = 36
6x - 6 = 36 <em>add 6 to both sides</em>
6x = 42 <em>divide both sides by 6</em>
x = 7
Answer:
false
Step-by-step explanation: