Answer:
slope = 
Step-by-step explanation:
The slope of a line can be found by identifying two points and the graph and finding the overall change in y over the change in x:

Using the points on the given graph of (-3, 2) and (1, -2):

So, slope = 
Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
Answer:
300
Step-by-step explanation:
Estimate 21
= 20
20 x 15 = 300
Hope its correct.
Answer:
<em>a) the angle of ascent is 8.2°</em>
<em>b) the horizontal distance traveled is 4375 m</em>
Step-by-step explanation:
depth of ocean = 626 m
distance traveled in the ascent = 4420 m
This is an angle of elevation problem with
opposite side to the angle = 626 m
hypotenuse side = 4420 m
a) angle of ascent ∅ is gotten from
sin ∅ = opp/hyp = 626/4420
sin ∅ = 0.142
∅ =
0.142
∅ = <em>8.2° this is the angle of ascent of the submarine.</em>
b) The horizontal distance traveled will be gotten from Pythagoras theorem
=
+ 
The horizontal distance traveled will be the adjacent side of the right angle triangle formed by these distances
=
+ 
adj = 
adj = <em>4375 m this is the horizontal distance traveled.</em>
I= $75
500 x 5% x 3 years = 75