Answer:
Find the exact value using trigonometric identities.
0.13763793
If 39 = (1 3/10)b, we could simplify this by writing 39 - (13/10)b.
Solve this for b by mult. both terms by (10/13):
(10*39)
----------- = (10/13)(13/10)b. Then b = 30 (answer)
13
Step-by-step explanation:
The rule for a 90 degree counterclockwise is
(x,y) -> (-y,x)
so
C(-1,2) -> C'(-2,-1)
D(3,5) -> D'(-5,3)
E(1,2) -> E'(-2,1)
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
Answer: 68887
Step-by-step explanation: the geometics series is (the previous number in the series) x 3, so 63 x 3 =189 x 3 =567 x 3 = 1701 x 3 = 5103 x 3 =15309 x 3 = 45927 and you add all those numbers up to get 68887
