It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.
Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π
Answer:
a line that might best estimate the data and be used for predicting values.
Choice B is correct
Step-by-step explanation:
A line of fit might be defined as;
a line that might best estimate the data and be used for predicting values.
This line connects most of the data points thus minimizing the squared residuals of the regression.
I hope this helps...
Answer:
x = 15
Step-by-step explanation:
The sum of the angles in a triangle is 180º
3x + 5x + 4x = 180
Combine like terms
12x = 180
Divide both sides by 12
x = 15
C = 5x
C = 5 * 15
C = 75º
This is the concept of graphs and volume of the solid figures, given that the triangle J,K,L was rotated along the x-axis, the resultant figure was cone with with radius of 5 units and a height of 4 units;
The volume of a cone is given by;
V=πr^2(h/3)
r=5 units
h=4 units
V=π*5^2*(4/3)
V=104.72 units^3
the answer is B]
