Answer:
(2, ∞)
Step-by-step explanation:
An absolute value graph at (0, 0) is an up facing V shape graph. After a few transformation, according to the equation y = −2 + |x− 2|, we have our vertex at (0, - 2). It remains at up facing V graph.
x - h,
x - 2,
x - (+ 2),
h = 2
Therefore our slope is 2, with out vertex at (0, - 2). If we plot our graph, you can see that on the interval (2, ∞) the graph increases...
Answer:
So the end points of the mid segment are:
S
T
Step-by-step explanation:
First of all we need to list the co-ordinates of the points of the triangle shown.
P
Q
R
We need to find mid segment of the triangle which is parallel to segment PQ. This would mean we need to find midpoints of segment PR and QR and then join the points to get mid segment.
Midpoint Formula:
Midpoint of PR:
S(
S
Midpoint of QR:
T
T
So the end points of the mid segment are:
S
T
By mid segment theorem we know that the line joining midpoints of two sides of a triangle is parallel to the 3rd side.
∴ We know ST is parallel to PQ
Answer:
x = 5
Step-by-step explanation:
The table and a graph of f(x) and g(x) are shown in the attachment. The solution is x=5. The table shows you f(5) = g(5) = 2, as does the graph.
It is generally convenient to make use of a graphing calculator or spreadsheet when repeated evaluation of a function is required.
