The graph of which function is decreasing over the interval (–4, ∞)?
2 answers:
This can be solved by the method of elimination.
We have been given that the function should decrease over (-4,∞)
So, since its between -4 and ∞ , we can eliminate option A and C. This is because options A and C are actually increasing over (-4,∞) and not decreasing.
So, this leaves us with options B and D. Next we find the vertex of the two functions. The vertex of Option B, that is lies at the point (-4,4) and decreases with x over the interval (-4,∞).
Whereas the option D, has the vertex at (4,4) and hence the interval is not between -4 and infinite.
Hence Option B, is the answer asthe function is decreasing over the interval (–4, ∞)
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Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
The answer is 15
these chords are congruent because the radius of the circle are perpendicular to the them
so we can find EF by making an equation:
so EF is = 3(15)+5=50
good luck
these chords are congruent because the radius of the circle are perpendicular to the them
so we can find EF by making an equation:
so EF is = 3(15)+5=50
good luck