You solve an equation like this by adding the opposite of the constant to both sides of the equation.
... V -16 +16 = -32 +16 . . . . . addition property of equality: if a=c, then a+b = c+b
... V + 0 = -16 . . . . . . . . . . . . additive inverse property of integers: -16+16 = 0
... V = -16 . . . . . . . . . . . . . . . identity element of addition: V+0 = V
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<em>You can always do the same thing to both sides of an equation.</em> Here, it is useful to add the opposite of -16 to both sides. That way the constant on the left becomes zero, so you only have the variable by itself—which is what you want.
Using the pythagorean theorem, the value of x would be eight. The equation of Pythagorean is
a^2 + b^2 = c^2
(C is the hypotenuse. Hypotenuse being the length of 10) Applying the lengths leaves us with the equation
36 + x^2 = 100.
You then subtract 36 from 100 to get X alone on the opposite side of the equation.
X^2 = 64
Lastly, you take the square root of 64. Therefore, the final answer will be eight.
Answer:
D. x = 5
Step-by-step explanation:
At x = 5
y = -½(5)²
y = -½ × 25 = -25/2 = -12½
