Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
(Given right angles)
(Given)
(Common side)
Now,
(By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.
Therefore, the measure of CP is 8 units.
Answer:
3 Pages
Step-by-step explanation:
- Let the pages of economics read = e
- Let the pages of psychology read = p
- Let the total time taken on each instance=t
In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.
The student could read 30 pages of psychology and 70 pages of economics.
Since the two situations take the same amount of time, we have:
50p+10e=30p+70e
Collect like terms
50p-30p=70e-10e
20p=60e
Divide both sides by 20
p=3e
Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.
You need to make the right side = 0
To do this you subtract 10 from both sides of the equation:-
x^2 + 6x + 9 - 10 = 10 - 10
x^2 + 6x - 1 = 0
The correct answer is a. for very high x-values, f(x) moves towards positive infinity.
This can always be determined by two factors.
1) is it linear or something else?
2) Is the lead coefficient positive or negative.
In this case, since the x is not being raised to a power or is not raised to a power itself, we know that there are no asymptotes. That takes care of #1 for us.
As for #2, since the coefficient of x (which is the highest power here) is positive, that means it continues to get bigger. If it were negative it would be the opposite. So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.
