Y = 2x+6
The slope is 2 and the y intercept is 6
Write the function as
f(x) = x² + 6x - 4
Note that
x² + 6x = (x + 3)² - 9
Therefore
f(x) = (x 3)² - 9 - 4
= (x + 3)² - 13
The vertex is at (-3, -13)., and the curve opens upward.
The axis of symmetry is x = -3.
Answer:
The vertex of the function is (-3, 13).
The graph increases over the interval (-3, -∞)
1 yard (3/3) is equal to 3 feet, then 10/3 is equals to 10 feet
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
Answer:
x = 97.6
Step-by-step explanation:
cos = adjacent over hypotenuse

* multiply each side by x *

* divide each side by cos ( 55 ) *

we're left with x = 97.63302055
Our last step is to round to the nearest tenth of a foot
We get that x = 97.6