Answer:x=12cm
Step-by-step explanation:
PA ×PB=PT^2
4×(4+x)=(8)^2
16+4x=64
4x=64-16
4x=48
x=12cm
Answer:(4,-1)
Step-by-step explanation:
Answer:
Well we are adding by 10 for every 1 increase in x. So slope is 10 / 1 = 10. (1. a slope of 10) is an answer.
We want x = 1 to have y = -5 Slope form is y=mx+b. We know m = 10 bec slope is 10. We have the point (1,-5) on the graph so we solve for b by plugging:
-5 = 10(1) + b and this is b = -15. So graph has function y = 10x-15.
b is the y-intercept so (3. a y-intercept at (0,−15)) is an answer.
Answer:
7, -3/4, -3
Step-by-step explanation:
Note that all three of the given functions are linear. We can read the slopes directly from these functions: 7, -3/4, -3. Between any two values of x, the slope is exactly the same in each of these three functions.
Thus,
1) the average rate of change of f(x) = 7x - 4 over the interval [2,4] is 7.
2) the average rate of change of g(x) over the given interval is -3/4.
3) the average rate of change of h(x) over the given interval is -3.
Well, start from 100% and work backwards.
It takes 5600 years to get to 50%
Another 5600 years to get to 25%
And a bit under another 5600 to get to 15% (another 5600 years would get it down to 12.5%)
Add the first two 550s to get 1120, and add about 5,000 and see which answer is closest.
In this case, D is closest at 15!w29
There are more exact ways of solving, but for a multiple choice this is faster and efficient nonetheless
