Answer:
∠J = 60°
Step-by-step explanation:
The Law of Cosines tells you ...
j² = k² +l² -2kl·cos(J)
Solving for J gives ...
J = arccos((k² +l² -j²)/(2kl))
J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)
J = 60°
_____
<em>Additional comment</em>
It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.
C. 10
14x+14x+(3x+10)+(3x+10)=
34x+20=360=
X=10
Answer:
the x is the horizontal axis and y is the vertical axis
Answer:
Step-by-step explanation:
Convert this Quadratic Equation to Vertex Form by completing the square, ![\displaystyle y = a[x - h]^2 + k](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20a%5Bx%20-%20h%5D%5E2%20%2B%20k)
:
![\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-5x%5E2%20-10x%20%2B%206%20%5C%5C%20%5C%5C%20-5x%5E2%20-%2010x%20%2B%2025%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20-%205%5D%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%20k%20%E2%86%92%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%2011%20%E2%86%92%20f%28x%29%20%3D%20-5%5Bx%20%2B%201%5D%5E2%20%2B%2011%20%5C%5C%20%5C%5C%20Vertex%3A%20%5B-1%2C%2011%5D%3B%2011%20%3D%20Maximum)
So as you can see, each time we broke the equation down, we used the formula ![\displaystyle [\frac{b}{2}]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B%5Cfrac%7Bb%7D%7B2%7D%5D%5E2)
to complete the square.
** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.
Answer:
3x^2 - 3x + 18
Step-by-step explanation:
x*3x=3x^2
(x*6)+(-3*3x)=-3x
-3*6=-18
