When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:
Answer: 1211.6585 years
<u>Step-by-step explanation:</u>
The equation for exponential growth is: 
- P: final population
- P₀: initial population
- k: rate of decay (or growth)
- t: time
Use the half life information to find k:

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

Answer:
The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.
Step-by-step explanation:
In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.
The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.
In right angled triangle ABC with right angle at B.
Since we have to find the length of rope that is the value of side AC.
Using trigonometric ratios


Putting values,

We know, 

On solving we get,
AC= 20.0 ft
Thus, the length of rope is 20.0 ft
Hence, <u>option (1)</u> is correct.
Answer:
1) 5/2 or 2.5
2) 5/2 or 2.5
Step-by-step explanation:
1) 5/2 = 2.5
2) 10/4 = 5/2 = 2.5
Because the hypotenuse of both are the segments of the same line and straight lines have the same gradient for all segments
Answer:
The answer to your proble I'm slow intercept from is y=-2x+8
Step-by-step explanation: