X = 7/8
start by getting one x on the side of the equation.
Distance from the building where the fireman is standing = 25 m due yo the west pointed angle of elevation of the ladder = 51 degrees You then aquire the length of the ladder equals...
x ThenCos 51 degree = 25/x0.6293
= 25/xx = 25/0.6293 = 39.72 meters≈40 meters from the above deduction, so the correct answer is D, because it is the closest, and that it is correct.
Answer:
For number 1, it's 3(x^2+1)
Step-by-step explanation:
Step 1: Identify the GCF of the polynomial.
Step 2: Divide the GCF out of every term of the polynomial.
Answer: 245 feet
Step-by-step explanation:
Given: The height of the rocket after t seconds is represented by the formula:

[Differentiate both sides w.r.t. t]
Put

Also,
i.e. height is maximum at t=7.
Maximum height = 
Hence, the maximum height the rocket reaches = 245 feet.
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,

x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)