Answer:
Step-by-step explanation:
Explanation:
The
average rate of change
of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the
secant line
connecting the 2 points.
To calculate the average rate of change between the 2 points use.
∣
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
g
(
b
)
−
g
(
a
)
b
−
a
a
a
∣
∣
∣
−−−−−−−−−−−−−−−
g
(
6
)
=
6
2
−
6
+
3
=
33
and
g
(
4
)
=
4
2
−
4
+
3
=
15
Thus the average rate of change between (4 ,15) and (6 ,33) is
33
−
15
6
−
4
=
18
2
=
9
This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9
Answer
Find out the Area of a triangle .
To proof
Formula
Area of Triangle

Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

Solving the above


= -10 units²
(Neglected the negative sign as area cannot be negative.)
= 10 units ²
Area of a triangle is 10 units ²
Hence proved
Answer:
Step-by-step explanation:
Yes, it is a line of slope 1.
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
If you notice the picture below
the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it
so.. get the area of the trapezoid

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh
then, subtract the triangle's area from the rectangle's area
and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area
namely the area of the trapezoid plus the rectangle's, minus the triangle's