Answer:
the first two reason are given then the last one is cpctc
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin(
)sin (
)
sin x - sin y = 2cos (
)sin (
)
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos(
)sin(
) ]²
= 4sin² (
)sin² (
) + 4cos² (
)sin² (
)
= 4sin² (
)[ sin² (
) + cos² (
) ← sin²x + cos²x = 1
= 4sin² (
) × 1
= 4sin² (
) = right side ⇒ proven
The answer is C. 16/55 because P(Q and R) = P (Q) . P (R) (for independent events Q and R)
So, the prob. is 4/5 * 4/11 = 16/55 = D.
Abcdefghijklmnopqrstuvwxyz
ok
b to a
goes back 1 letter
then b to d
skips 3 letters forward
then d to e
1 forward
e to h
skips 3 forward
h to g
goes 1 back
g to k
goes 3 forward
pattern seems to be
1back, 3 forward, 1 forward, 3 forward, repeat
so we are at 3 forward after than 1 back, so the next one is 1 forward
1 forward from k is l
the next letter is L
Answer: x = 0; y = 2; z = 5
Step-by-step explanation:
x+2y+z=9
x-y+3z=13
2z=10
==
Start with the last equation: 2z = 10, therefore z = 5 [easy]
Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:
x-y+3z = 13
x - y +3*5 = 13
x = y-2
Now use the values for x [(y-2)] and y [5] in the first equation:
X+2y+z=9
(y-2) +2y + 5 = 9
3y +3 = 9
3y = 6
y = 2
Now that we have y [2] and z [5], let's use the first equation to solve for x:
x+2y+z=9
x + 4 + 5 = 9
x + 9 = 9
x = 0
====
Try the three values (x=0, y=2, and z=5) in any of the formulas. The result should/will equal the number shown.