Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope
so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2
perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2
y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b
so the equation is
y=-2x-3
your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation
so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
Answer:
x+3
Step-by-step explanation:
Answer:
0, π, 7π/6, 11π/6 on the interval 0 ≤ ø <2π.
Step-by-step explanation:
sinø + 1 = cos2ø
Use the identity cos 2o = 1 - 2 sin^2 o:
sin o + 1 = 1 - 2 sin^2 o
2sin^2 o + sin o + 1 - 1 = 0
2 sin^2 o + sin o = 0
sin o (2 sin 0 + 1) = 0
Therefore sin o = 0 or sin o = -1/2.
For sin o = 0 , o = 0, π radians.
For sin o = - 1/2, o = 7π/6, 11π/6 radians.
Answer:
C is 
or 
Step-by-step explanation:
Using the Pythagorean theorem, you know that 
. Hope this helps!
