Answer: The answer is 
Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.
Let, AC = 3x and CM = 4x.
In the right-angled triangle ACM, we have

Now,

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.
So,

Comparing equations (A) and (B), we have

Thus,

There are many ways a problem can be simplified. You can divide by the GCF (Greatest Common Factor) or even factor which depending on where you are in math you may or may not have learned. For your problem, I will use the first method.
3m-8 can be multiplied by any term (keep it simple):
2(3m-8) = 6m-16
4(3m-8) = 12m-32
Your answers should be 6m-16 and 12m-32.
Answer:
A, B
Step-by-step explanation:
Not C, D, E, because they show two points with the same x-coordinate but different y-coordinates.
In a function, each x is paired with <u>just one</u> y.
The graph of a function will never have two or more points <u>stacked verticall</u>y.
Answer:
Step-by-step explanation:
(x + 4)/2 = 9
x + 4 = 18
x = 14
(y-2)/2 = 4
y - 2 = 8
y = 10
(14, 10)
Answer:
- 3
Step-by-step explanation:
Substitute x = 1 into f(x)
f(1) = - 3(1) = - 3 × 1 = - 3