Step-by-step explanation:
the answer is -1. I have a picture, take a lot at it
Answer:
sqrt(97)
Step-by-step explanation:
Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".
To do that, we can use the Pythagorean theorem, where <em>(change in x)^2+(change in y)^2 = (distance)^2:</em>
(5-(-4))^2+(3-7)^2=d^2
(9)^2+(-4)^2=d^2
81+16=d^2
97=d^2
d=sqrt(97).
G(x) would involve a translation left 1 and up 1.
g(x) is written in vertex form, which is
g(x) = a(x-h)²+k, where (h, k) is the vertex. Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9). Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.
#16: Let's clear the fraction on the way to solving this inequality for x. By mult. the given inequality by 2, we'll get -2 (is greater than) x+4. We want x to be positive. So, leave it where it is. Subtract 4 from both sides of this inequality. We end up with -6 (is greater than) x, which is the same thing as x (is less than) -6. What would the graph of that simple inequality look like?
Graph it. (Hint: The graph is a straight dashed line, and you must shade one side of it, but not the other side.
