Answer: Option A
Step-by-step explanation:
We can model the situation by means of a right triangle.
Where the angle 
is the angle that you make with the top of the TV.
Then the horizontal distance of 6 feet is the adjacent side and the vertical distance of 8 feet is the opposite side to the angle the.
By definition of the 
function we know that:
Therefore:
Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
Answer:
The rate of change in distance between the spy and the rocket is 10.8 km/min,
or about 180 m/sec.
Step-by-step explanation:
At "Time=0" the rocket is 6km from the spy.
The rocket travels vertically 8km in about 0.37 minutes, calculated by 8km÷21.6km/min.
At that point, the rocket is 10 km from the spy., calculated by 6²+8²=10²
The difference is 4 kiilometers over 0.37minutes, about 22.2 seconds
Divide Distance by Time to get Rate:
4km/0.37min = 10.8 km/min
That is about 180 meters per second.
Yes all whole numbers are also rational number because they can be represented as a ratio of itself and 1, or as ratio of two other whole numbers.
For example:
4 = 8 / 2
4 = 4 /1
-3 = -9 / 3
1 = 1 / 1
3 = 3 / 1
Answer:
7x + 14y
Step-by-step explanation:
7(x + 2y)
Multiply 7 by the values inside the parenthesis (x + 2y)
7x + 14y
Hope this helps :)
