What exactly do you mean? Is there answer's to the problem or more to the problem?
Answer:
Because triangle has three sides
Answer:
I've pretty much already solved this, in my discussion above:
| 3 | = 3
| –3 | = 3
So then x must be equal to 3 or equal to –3.
But how am I supposed to solve this if I don't already know the answer? I will use the positive / negative property of the absolute value to split the equation into two cases, and I will use the fact that the "minus" sign in the negative case indicates "the opposite sign", not "a negative number".
For example, if I have x = –6, then "–x " indicates "the opposite of x" or, in this case, –(–6) = +6, a positive number. The "minus" sign in "–x" just indicates that I am changing the sign on x. It does not indicate a negative number. This distinction is crucial!
Whatever the value of x might be, taking the absolute value of x makes it positive. Since x might originally have been positive and might originally have been negative, I must acknowledge this fact when I remove the absolute-value bars. I do this by splitting the equation into two cases. For this exercise, these cases are as follows:
a. If the value of x was non-negative (that is, if it was positive or zero) to start with, then I can bring that value out of the absolute-value bars without changing its sign, giving me the equation x = 3.
b. If the value of x was negative to start with, then I can bring that value out of the absolute-value bars by changing the sign on x, giving me the equation –x = 3, which solves as x = –3.
Then my solution
Answer:
two equations y=3x
and y=12x
are proportional relation ship equations
Step-by-step explanation:
Answer:
![\frac{1}{216}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B216%7D)
Step-by-step explanation:
Using the rule of exponents
⇔ ![\frac{1}{a^{m} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Ba%5E%7Bm%7D%20%7D)
= ![\sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Evaluate the parenthesis
1³ + 2³ + 3³ = 1 + 8 + 27 = 36 , then
![(36)^{-\frac{3}{2} }](https://tex.z-dn.net/?f=%2836%29%5E%7B-%5Cfrac%7B3%7D%7B2%7D%20%7D)
= ![\frac{1}{36^{\frac{2}{3} } }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B36%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%20%7D)
= ![\frac{1}{(\sqrt{36})^3 }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%28%5Csqrt%7B36%7D%29%5E3%20%7D)
= ![\frac{1}{6^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%5E%7B3%7D%20%7D)
= ![\frac{1}{216}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B216%7D)