Answer:
B. y=x²-x-6
Step-by-step explanation:
Consider the product ...
0 = (x -a)(x -b) = x² -(a+b)x +ab
This equation has solutions x=a and x=b. You will note that ...
- the constant is the product of the solutions (ab)
- the coefficient of x is the opposite of their sum (-(a+b))
For solutions of -2 and 3, the constant will be (-2)(3) = -6. This eliminates choices C and D.
The sum of the solutions is -2+3 = 1, so the coefficient of x is -1, matching choice B.
Answer:
The problem in the first statement is that it does not say that the lines must be in the same plane.
Suppose in a 3D coordinate axis two lines as:
z = 0, y = 0 (this is the x-axis)
y = 1, x = 0 (this line is parallel to the z-axis but one unit above).
Those two lines are not parallel, and also never meet, so the definition is wrong.
The actual definition should be:
"Parallel lines are two lines that lie on the same plane and never meet"
B: The undefined terms are point, line, plane,...
An example can be "Plane", because if our lines do not lie on the same plane, then we can not use the concept of "parallel lines".
Answer:
2 feet
Step-by-step explanation:
Since each piece of wood is 2/3 of a foot tall, and there are two pieces of wood stacked on top of each other, you need to add 2/3 twice to get the total height of the pile.
2/3 + 2/3 = 6/3
6/3 = 2
Therefore, the pile is 2 feet tall.
Given that in a trianlgle the sides AB, BC, CA are in the ratio 3:4:6.
Let AB = 3k, BC = 4k and CA = 6k.
Then perimeter =3k+4k+6k = 13k
M, N, K are mid points of the sides.
By mid point theorem MN = 3k/2, NK = 4k/2 and KM = 6k/2
Hence perimeter of MNK = 13k/2 =5.2 (given)
Solve for k
k=2(5.2)/13 = 0.8
Hence sides are
AB = 3k = 3(0.8) = 2.4 in
BC = 4k= 3.2 in
CA = 4.8 in
310/55 = 5.64 hours
60 minutes per hour
5.64 x 60 = approximately 338 minutes
