Answer:
L = 52°
J = 45°
K = 83°
Step-by-step explanation:
J = L - 7
K = 2L - 21
J + K + L = 180°
∴ (L - 7) + (2L - 21) + L = 180
4L - 28 = 180
4L = 208
L = 52°
J = 52 - 7 = 45°
K = 2 x 52 - 21 = 83°
Since it is a 30, 60, 90 triangle theN y would be 7.
30 degrees= x
60 degrees= x root 3
90 degrees= 2x
In this case since you know 90 degrees is 14 then you would have to find c which is 7 when you divide it by 2
A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2
"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)
Source:
http://www.1728.org/quadr3.htm
Answer:
If 5 hamburgers are sold, 25 hotdogs need to be sold.
If 10 hamburgers are sold, 17 hotdogs need to be sold.
If 15 hamburgers are sold, 9 hotdogs need to be sold.
Step-by-step explanation: