Answer:
-15.96
Step-by-step explanation:
A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)
Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."
Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."
Multiply the inner numbers ( the + 4i and the 1/5) to get + 60i. This is the "I."
Multiply the positive 4i and the negative 4i to get 16i squared
The positive 60i and the negative 60i cancel each other out.
The i squared changes into - 1. This makes the 16 negative.
Add 1/25 to - 16 to get - 15.96
Answer:
baddie uwu
Step-by-step explanation:
harder daddy harder
Answer:
28
Step-by-step explanation:
The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)
Hope this helps!
Answer:
3.7 hours
Step-by-step explanation:
Pat could do the job alone in 8 hours.
Patti could do the job alone in 7 hours
Output = Rate * time
Let the rate at which pat does the work = Rp
Let the rate at which Patti does the work = Rt
Let X be the total output
Rp * 8 = X
Rp = X/8
Rt * 7 = X
Rt = X/7
If both pat and Patti pick apples, we have
(Rp+Rt)T = X
(X/8 + X/7)T = X
[(7X + 8X)/56]T = X
[X(7+8)/56]T = X
Divide both sides by X
[(7+8)/56]T = 1
(15/56)T = 1
T = 56/15
T = 3.7 hours
Answer:
Step-by-step explanation:
The product of distances to the circle along a secant is the same for all secants intersecting a given point.
a. Secants SW and QT intersect at U. Thus ...
(UT)(UQ) = (US)(UW)
(1.5)(4) = (SU)(3)
SU = (4)(1.5)/3
SU = 2
__
b. Secants PT and PX intersect at P. Thus ...
(PQ)(PT) = (PR)(PX)
PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3
PX = 6 2/3
