Answer:
The values of
and
are
and
, respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
(1)
By definition of the perfect square trinomial:


And by direct comparison we have the following system:
(2)
(3)
By (3), we solve for
:


The values of
and
are
and
, respectively.
Answer:
y = 3x-9
Step-by-step explanation:
y = -1/3 x +2
The slope is -1/3
We want a line perpendicular to it
Perpendicular lines have negative reciprocal slopes
The new slope is -(-3/1) = 3
We have a slope m=3 and a point (5,6)
We will use point slope form to find the line
y-y-1 = m(x-x1)
y-6 = 3(x-5)
In slope intercept form
Distribute
y-6 = 3x-15
Add 6 to each side
y-6+6 = 3x-15+6
y = 3x-9
Answer:
Yes
Step-by-step explanation:
The domain is {-19, 19}
The range is {0,16}
We can write as ordered pairs to obtain:
(-19,0), (19,16)
None of the first coordinates of the ordered pairs repeats.
Hence the relation represents a function.
See attachment for mapping diagram.
F(x) = 2x ⇒ g(x) = -f(x) - 2 = -2x - 2
⇒ g(x) = -2 × (x + 1)
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