9514 1404 393
Answer:
(c) 162 cm
Step-by-step explanation:
The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.
RD = 3·54 cm
RD = 162 cm
Since the highest power is nine, it will have ends going in opposite directions.
As x approaches infinity, y approaches infinity
As x approaches negative infinity, y approaches negative infinity
Answer:
a) Infinite solutions
b) No solutions
Step-by-step explanation:
First, know the following:
If the graphs intersect, there's only one solution.
If the graphs are parallel, there are no solutions.
If the graphs are the exact same line, there are infinite solutions.
For a):
Change the first equation into a linear one.
Change the second equation into a linear one.
- 4x+6y=12
- 6y=-4x+12

Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.
For b)
They are already in linear form so hurray.

These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.
Answer:
- domain (-∞, ∞)
- range (-∞, 4]
- increasing (-∞, 0)
- decreasing (0, ∞)
- constant (only at x=0, not on any interval)
Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.