Number of times she climbed 5-mile mountain trail = x
Number of times she climbed 10-mile trail = y
total distance of the 5-mile mountain trail will be = 5*x =5x
total distance of the 10-mile mountain trail will be = 10*y = 10y
equation that can be used to find the number of times she hiked each trail is therefore
5x + 10y = 90
Answer:
D. (x-5)^2 = 36
Step-by-step explanation:
If you add 11 to the given equation, you get ...
x^2 -10x = 11
Then you can add the square of half the x-coefficient to complete the square.
x^2 -10x +25 = 11 +25
(x -5)^2 = 36 . . . . simplify to the appropriate form
Answer:
<em>t = 3 seconds</em>
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
Answer:
x=10°
y = 12°
Step-by-step explanation:
<TSV = 5x + 4x = 90°
=> 9x = 90°
Divide by 9,
x = 10°
<RSU = 10y + 10° + 5x = 180°
=> 10y + 10° + 5*10° = 180°
=> 10y + 10° + 50° = 180°
=> 10y + 60° = 180°
Subtract 60° on both sides,
10y = 180° - 60° = 120°
Divide by 10,
y = 120° / 10 = 12°
Two times the sum of a number and nine.
