Answer:
Line A B and Line C G are parallel.
Line C G and Line R S are perpendicular
Line A B and Line R S must intersect
Line segment C G lies in plane X
Step-by-step explanation:
Given that Planes X and Y intersect at a right angle.
From the image attached, line AB and CG are on the same plane X while line RS is on plane Y. Hence, line CG lies on plane X.
Since both line AB and CG line on the same plane, this means that both lines are parallel to each other.
Since plane X and plane Y are perpendicular to each other and line CG is on plane X and line RS is on plane Y, this means that both Line C G and Line R S are perpendicular.
Also Since plane X and plane Y intersect and line AB is on plane X and line RS is on plane Y, this means that both Line C G and Line R S intersect with each other at right angle.
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Answer:
f(8) = -30 is the maximum
Step-by-step explanation:
The equation is that of a parabola in vertex form:
y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor
Comparing this form to the given equation, we have ...
f(x) = -(x -8)^2 -30
That is, the scale factor is -1, and the vertex is (8, -30).
When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.
Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find:
This is the same thing as:
So, substitute h(x) into g(x):
Distribute the negative:
And we're done!
So: