Answer:
B. 2 is your answer
Step-by-step explanation:
You will use the slope formula to find the slope of the equation.
(3, 7) and (-2, -3) will be used.
7 and -3 are your y's. 3 and -2 are your x's.
(7 - (-3))/(3 - (-2)) = 10/5 = 2
B. 2 is your answer
You will divide 50 by 10 to get 5. Then multiply 5 by 50 to get 250
P(CIY)=[P((C and Y)]/P(Y)
P(C)=40/146=20/73
P(Y)=30/146=15/73
Thus:
P(C and Y)=15/146=
Hence:
P(CIY)=(15/146)/(15/73)=1/2
Answer:
C. 40.2°
Step-by-step explanation:
Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)
If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:
c² = a² + b² - 2·a·b·cos(γ)
⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)
⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)
⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)
⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )
= arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )
= 40.21101958°
≈ 40.2°
Answer:
1/x-2/3=3/2x
-2/3=3/2x-1/x
-2/3=(3-2)/2x
-2/3=1/2x
by cross multiplication
-2(2x)=1(3)
-4x=3
x= -3/4
Step-by-step explanation:
I hope this will help
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