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
The distance between two points on the plane is given by the formula below
Therefore, in our case,
Thus,
Therefore, the answer is sqrt(61)
In general,
Remember that
Therefore,
The solution of the equation is x = 2
Step-by-step explanation:
The original equation is
We solve it using the following steps:
1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.
In this case, we add +10 on both sides, and we get:
2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.
In this case, we divide both sides of the equation by 5, and we get:
Therefore, the solution of the equation is .
Learn more about solving equations:
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Answer:
16/15 or 1 1/15
Step-by-step explanation:
Subsitute p for 4/5
4/5+4/15
make common denominators
12/15+4/15
=16/15