Answer:
y = 2x + 12
Step-by-step explanation:
You can check this by plugging any of the values from the table into the equation. You can find the answer by finding the slope and then using that to find the y-intercept.
y2-y1/x2-x1
16-14/2-1 = 2/1 = 2. So our slope equals 2.
If we set x = 0 to find our y-intercept, and we know that we have a slope of 2 we can subtract 2 from 14 to get the y-intercept.
14-2 = 12. --> (0, 12) which is true because we know that the slope is 2.
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
This is the "commutative property of addition." The order in which you add numbers together doesn't matter, and doesn't change your final results.
<span>D. Regular polygon.
</span>A polygon that has all sides the same measure and all angles the same measure is called Regular polygon.
Hoped I helped!
