Step-by-step explanation:
a(n+y) = 10t + 32
n+ y = (10t + 32)/a
y = ((10t+32) /a) -n
Using the quadratic formula, the solutions are x1 = 1.3416 and x2 = -1.3416
So, it has 2 real solutions.
Step-by-step explanation:
- sinx+sin(x+4x) =cot2x
- sinx+sinx cos4x+cosx sin4x=cot2x
sinx+sinx cos4x=sinx (1+cos4x) =
sinx (1-1+2(cos2x)^2) =2sinx (cos2x)^2
sin4x=2sin2xcos2x
2sinx(cos2x)^2+cosx+2sin2xcos2x=cot2x
2sinxcos2x(cos2x+2(cosx)^2)=cot2x
but 2(cosx)^2=cos2x+1
2sinxcos2x(cos2x+cos2x+1)=cos2x/sin2x
(2sinxsin2x)(2cos2x+1) =1
(4cosx(sinx)^2)(2cos2x+1) =1
Answer:
Step-by-step explanation:
<u>We know that:</u>
- Slope Formula = y₂ - y₁/x₂ - x₁
<u>Solution:</u>
- y₂ - y₁/x₂ - x₁ = -4 - 4/4 - 4
- => -8/0 = undefined
Since the slope of the line is un-defined, the line is vertical. Please look at my graph to understand better.