Math
posted by Jon on .
1.Write the equation 5x+y2=0 in normal form.
5x+y2=0
5x+y=2 (add two to both sides)
Standard form (Ax+By=C)> 5x+y=2
Yintercept (when x equals 0)
5x+y2=0
5x+y=2
5(0) +y=2
y=2
Xintercept (when y equals 0)
5x+y2=0
5x+y=2
5x+0=2
x=2/5
Slope intercept (y=mx+b)
5x+y2=0
5x+y=2
y= 5x+2
2.Use the sum or difference identity to find the exact value of tan105 degrees.
tan 105 = tan (60 +45) = (tan 60 +tan 45)/ 1tan60tan45 =
(sqrt 3 + 1) / (1 sqrt3 (1)) =
(1 +sqrt 3)^2 / (1sqrt 3)(1+sqrt 3) =
(1 +sqrt 3)^2 /( 13) =
(1 +2sqrt 3 + 3) / (2) =
2sqrt3

#1 ok
#2 ok