Answer:
-5x-12
Step-by-step explanation:
Given f(x) = -5x+3, to get f(x+3), we are going to replace x in f(x) with x+3 as shown;
f(x) = -5x+3
f(x+3) = -5(x+3)+3
f(x+3) = -5x-15+3
f(x+3) = -5x-12
Hence the function f(x+3) is -5x-12
Since
∠CPD = x
and segment PN is the angle bisector of this angle, therefore segment PN
equally divides ∠CPD into two angles. Which means that:
∠CPN = ∠NPD = x / 2
Further,
segment PN is also the perpendicular bisector of AB which further means that
the intersection formed by PN and AB creates a right angle (90°). Therefore:
∠NPD + ∠DPB = 90°
x/2
+ ∠DPB =
90°
∠DPB =
90 – x/2
Therefore:
sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>
However we know that the
relationship of sin and cos is:
sin(π/2
- θ) = cos θ
Where,
π/2
= 90
θ =
x/2
Therefore:
sin(90 – x/2) = cos(x/2)
Answer:
<span>cos(x/2)</span>
Answer:
A. the number of pennies
Step-by-step explanation:
.01 is the numerical value of a penny
You need the circumfrence of the flower bed.
C=diameter x pi.
C=100in.x pi. pi=3.1415.....
C= 100 x 3.1415
C=314.15 which is the distance in inches around the flower bed.
Each curved brick is half a foot long, which is 6 inches.
314.15 divided by 6
= 52.358 bricks.