Answer:
A.) the SSS Postulate
Step-by-step explanation:
Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.
Answer: ![\{y | \ y \in \mathbb{R}, \ y \ge 0\}](https://tex.z-dn.net/?f=%5C%7By%20%7C%20%5C%20y%20%5Cin%20%5Cmathbb%7BR%7D%2C%20%5C%20y%20%5Cge%200%5C%7D)
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
the y intercept is the constant term on the x side
-6 * -2 which is 12
we can foil this out to see that
(x-6) (x-2)
x^2 -6x -2x+12
x^2 -8x+12
so the y intercept is (0,12)
Answer:
A) 5
Step-by-step explanation:
The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.
The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.