Answer:
<u> </u><u>-1 </u>
Step-by-step explanation:
Given that:
r = sin 2θ , θ = ± π/4 , ± 3π/4
Recall that:
x = r cosθ
y = r sinθ
The differential of y with respect to x


at θ = π/4 , r = sin π/2
r = 1

where;
θ = π/4




slope of the curve (dy/dx) at theta(θ) = pi/4 is -1
Its like x² + 4x +20 = 0,
x = [-4 + √[(4²) - (4*1*20)]]/(2*1) = [-4 + √(16-80)]/2 = [-4 + √(-64)]/2 = [-4 + 8√(-1)]/2 = -2 + 4i,
x = [-4 - √[(4²) - (4*1*20)]]/(2*1) = [-4 - √(16-80)]/2 = [-4 - √(-64)]/2 = [-4 - 8√(-1)]/2 = -2 - 4i,
here i = √(-1), its a complex number.
so solution is a complex number,
x = -2 - 4i & -2 + 4i.
Answer:
101
Step-by-step explanation:
Positive is more than negative
Answer:
x=-12
Step-by-step explanation:
2x-7=3x+5
+7 to both sides
this leaves you with 2x=3x+12
-3x from both sides
this leaves -x=12
switch the symbols
this makes it x=-12
Look at the picture.
1)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
2)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|