Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is
. In particular, the value we are looking for is
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to
.
Check the picture below.
recall the ambiguous SSA case, as the "12" side moves, it ends up with two supplementary angles on the base.
Answer:
32
Step-by-step explanation:
Area of a big right triangle = 1/2 * 4 * (2+2+6) = 1/2 * 4 *10 =20
Area of a left right triangle = 1/2* 2*2 = 2
Area of a right right triangle = 1/2 * 6*2 =6
Area of a square = 2*2 = 4
All together:
20+ 2+6+4 =32
12.3 or 12 3/10
4.5 + 7.8 = 12.3
or
4 10/20 + 7 16/20 = 11 26/20
11 26/20 can be simplified to 12 6/20 and further simplified to 12 3/10
Hope this helps
btw: I used the app photomath so i highly recommend it