Answer:
10
Step-by-step explanation:
If the pieces were similar, the scale factor would be 16 / 8 = 2 so therefore, b = 5 * 2 = 10.
Answer:

Step-by-step explanation:
we have

step 1
Divide by -5 both sides

step 2
Apply log both sides
![log[10^{x}]=log[31/5]](https://tex.z-dn.net/?f=log%5B10%5E%7Bx%7D%5D%3Dlog%5B31%2F5%5D)
step 3
Applying Property of logarithms
Remember that

so
![xlog[10]=log[31/5]](https://tex.z-dn.net/?f=xlog%5B10%5D%3Dlog%5B31%2F5%5D)
Remember that

substitute
![x=log[31/5]](https://tex.z-dn.net/?f=x%3Dlog%5B31%2F5%5D)


7. 120
8. 30
9. 45
10. 15
11. 105
12. 140
13. 65
14. 100
15. 60
Answer:orange graph =-2
Blue graph -2 or 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
If your function is
, that is definitely not the answer you should get after taking the derivative implicitely. Rewrite your function to simplify a bit:

Take the derivative of x terms like "normal", but taking the derivative of y with respect to x has to be offset by dy/dx. Doing that gives you:

Collect the terms with dy/dx on one side and everything else on the other side:

Now factor out the common dy/dx term, leaving this:
Now divide on the left to get dy/dx alone:

Simplify each set of fractions to get:

Bring the lower fraction up next to the top one and flip it upside down to multiply:
×
Simplifying that gives you the final result:

or you could multiply in the x on the bottom, as well. Same difference as far as the solution goes. You'd use this formula to find the slope of a function at a point by subbing in both the x and the y coordinates so it doesn't matter if you do the distribution at the very end or not. You'll still get the same value for the slope.