Cos
θ
=
√
5
3
or it could be cos
θ
=
√
5
−
3
Explanation:
Since sin
θ
is negative, it can be in the third or fourth quadrant
Drawing your right-angled triangle, place your
θ
in one of three corners. Your longest side will be 3 and the side opposite the
θ
will be -2. Finally, using Pythagoras theorem, your last side should be
√
5
Now, if your triangle was in the third quadrant, you would have
cos
θ
=
√
5
−
3
since cosine is negative in the third quadrant
But if your triangle was in the fourth quadrant, you would have
cos
θ
=
√
5
3
since cosine is positive in the fourth quadrant
The value of the coefficient B is 9.
2(x+By)(x-2y)
=2(x^2 -2xy +Bxy -2By^2)
=2x^2 -4xy + 2Bxy - 4By^2
The original form is 2x^2 + 14xy - 36y^2
-36y^2 = -4By^2
B= 9
-4xy +2Bxy= 14xy
xy(-4 +2B)= 14xy
-4 + 2B = 14
2B = 18
B=9
Step-by-step explanation:
180 - 34 = 146
one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124
divide that by two to get the measures of the remaining two angles (62 degrees)
180 - 62 = x
118 = x
Answer:
x-intercept - x = 1/2y - 3.15
y-intercept - y = 2x + 6.3
Step-by-step explanation:
For x,
-6x + 3y = 18.9
-6x = -3y + 18.9
x = -3y/-6 + 18.9/-6
x = 1/2y - 3.15
For y,
-6x + 3y = 18.9
3y = 6x + 18.9
y = 6x/3 + 18.9/3
y = 2x + 6.3
Answer:
15
proof on pic......................
