Answer:
9
Step-by-step explanation:
Here,
f(1) = 1,
f(n) = 3f(n-1),
f(4)= 3×1(4-1)
= 3×3
=9
Answer:
(4,0)
Step-by-step explanation:
add the 2 equations together
6x = 24
x=4
put x into the first equation
16+3y=16
y=0
Segment PQ bisects the angle P, which means angle QPR has a measure of 21 degrees (which follows from the fact that triangles PQR and PQS are congruent and PR and PS are tangent to the circle).
This then means angle RQP has measure 90 - 21 = 69 degrees.
Angle Q is twice this, so it has measure 138 degrees.
A.
The graph of y= -1/2+5 is incorrect.
Instead of using the quotient rule, you can first expand <em>y</em> :
<em>y</em> = (4<em>x</em> - 1)^2 / <em>x</em> ^2 = (16<em>x</em> ^2 - 8<em>x</em> + 1) / <em>x</em> ^2 = 16 - 8/<em>x</em> + 1/<em>x</em> ^2
Then the derivative is
d<em>y</em>/d<em>x</em> = -8/<em>x</em> ^2 - 2/<em>x</em> ^3
The tangent to the curve at (-1, 25) then has a slope or gradient of
d<em>y</em>/d<em>x</em> = -8/(-1)^2 - 2/(-1)^3 = -6
