1. You got it right.
4π/9 x 180/π = 80°
2. To get a coterminal angle you start with your angle and then you add or subtract 360° (one cycle around the circle).
-123+360+360 = 597°
-123-360 = -483°
3. The angle is 215° from the point (1,0) on the unit circle. The angle 215° is between 180° and 270° so it is in quadrant 3.
Answer:
6
x
^2
−
5
x
y
−
4
y
^2
Step-by-step explanation:
Expand
(
2
x
+
y
)
(3
x
−
4
y
)
using the FOIL Method.
Apply the distributive property.
2
x
(
3
x
−
4
y
)
+
y
(
3
x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)+
2
x
(−
4
y
)
+
y
(
3x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)
+
2
x(
−
4
y
)
+
y
(
3
x)
+
y
(
−4
y
)
Simplify and combine like terms.
6
x
^2
−
5
x
y
−
4^
2
Answer:
22x+27
Step-by-step explanation:
Let's simplify step-by-step.
9(2x+3)+4x
Distribute:
=(9)(2x)+(9)(3)+4x
=18x+27+4x
Combine Like Terms:
=18x+27+4x
=(18x+4x)+(27)
=22x+27