Answer:
Step-by-step explanation:
The purple circle, not ring is pi 7 squared = 153.93804
Then subtract the smaller circles area (pi 4 squared) = 153.9... - 103.6725576 =
50.2654824
Purple ring is 50.2654824
The entire circle is 4+3+3 (10) squared times pi = 314.1592654
( 50.2654824 / 314.1592654 ) x 100 = 15.999999998 %
Rotating 180 degrees about the point p.
If they are perpendicular reflecting across each one will have the same effect as if the point was rotated 180 degrees about the certain point.
Answer:
Hiiiii, the answer is (x,-y)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Order of operations is () ^ * / + -
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
