The answer is cot² ∅ - csc² ∅ = -1
Referring to Pythagorean identities:
sin² ∅ + cos² ∅ = 1
1+cot² ∅ = csc² ∅
tan² ∅ + 1 = sec² ∅
1+cot² ∅ = csc² ∅
⇒ transposing 1 and csc² ∅ we will have now
cot² ∅ - csc² ∅ = -1
Answer:
-69 +92 i (here 'i' is imaginary value)
Step-by-step explanation:
step:-
Given (3-4 i)(-2-21)
on multiplication, we get
(3-4 i)(-2-21) = 3(-2) -3(21) - 4 i (-2) +4 i(21)
= -6 -63 + 8 i +84 i
= -69 +92 i
-69 + 92 i is a complex number.
real part x = -69
imaginary part y = 92
Only te 1st one (1057), since it's a multiple of 7 (151 x 7 = 1057)
With the concept of first in, first out method, then we
can use the formula below to solve for the number of equivalent units of
production for that period.
number of equivalent units of production
= Total number of units completed during that period (A) –
Number of units completed in process at the beginning of the period (B) +
Number of units completed at the end of the period (C)
= A – B + C
We know that,
A = 9000 units
So we solve for B and C.
B is 60% of the 500 units, therefore:
B = 0.60 * 500 = 300
C is 30% of the 600 units, therefore:
C = 0.30 * 600 = 180
Substituting the values into the equation:
number of equivalent units of production = 9000 – 300 + 180
number of equivalent units of production = 8880 units
Answer:
A. 8880
Reflections across the x-axis leaves the x coordinates the same but the y coordinates change sign
so point P (2,-12) is reflected to (2, 12)
So now you can identify the correct choice
