Calculating
the value of f(x) for the given interval.
For x = -
4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11
For x =
6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51
Now using
formula for the calculation of average rate of change of f(x) over the given
interval of [- 4, 6];
(f(b) –
f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4
<span>So option “E” is
correct.</span>
Answer:
12
Step-by-step explanation:
Volume of sphere is
V=4/3pi r^3
Where r is 2 in this example so,
V= 10.67 pi
V= 33.51
Answer:
The given points are
The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.
The given maxium horizontal coordinate is 0.
The given minimum horizontal coordinate is -13.
The given maximum vertical coordinate is 3.
The given minimum vertical coordinate is -7.
Now, we extend each maximum and minimum value by 2 units to create the setting.
So, the setting is
With a scale of 2 units.
Because C is the
centroid, therefore:
Segments PZ = ZR;
RY = YQ; QX = XP<span>
<span>A.
If CY = 10, then </span></span>
PC = 2*CY = 20<span>
PY = PC + CY = 20 + 10 = 30
Answer: PC = 20</span> PY = 30
B.
If QC = 10, then
ZC = QC/2 = 5<span>
ZQ = ZC + QC = 5 + 10 = 15
Answer: ZC = 5</span> ZQ = 15
<span>C.
<span>If PX = 20
Because the median RX bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer: <span>PQ = 40</span></span></span>
