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°
I believe it is c if i am not wrong
Answer:
a)y=3/2x+6 b) y= -4/3x-2
Step-by-step explanation:
a)using the points given (-2,2) and (0,6)
we use rise over run formula and get 3/2
and we get y intercept by looking at when the line touches the y line in this case 6
using y=mx+b formula when m is slope and b is y interecpt we plug the numbers in
so we get y=3/2x+6
b) For this we use the points given which are (-3,2) and (0,2)
we use the rise over run formula and get 4/3 but since the line is going down it means the slope is negative so we get -4/3
and the y intercept we get by looking at when it touches the y line in this case it touches at -2
so using the same formula as the first question
but since the y interecpt is negative we change the plus sign for a minus
we get y=-4/3x-2
Answer:
130º
Step-by-step explanation:
a line is 180º so if one angle is 50 then it's just 180-50
Step-by-step explanation:
- you just substitute (-2) into the x values of the above function
