Answer:
13
Step-by-step explanation:
Distance between two points =
√
(
1
−
6
)
2
+
(
14
−
2
)
2 =
√
(
−
5
)
2
+
12
2
=
√
25
+
144
=
√
169
= 13
Answer: f(x) = (1/3)*IxI
Step-by-step explanation:
Ok, this is a problem of transformations.
First, if we have f(x), then:
f(x - a) is a translation of a units in the x-axis
f(x) + a is a translation of a units in the y-axis.
a*f(x) is a dilation/contraction.
if a is greater than 1, then the graph will be steeper (less wide)
if a is smaller than 1, then the graph will be wider.
Looking at the options, the correct option is:
f(x) = (1/3)*IxI
where we can see that a = (1/3)
If a rational function is not continuous, it'll be due to one of two reasons. Either it has a hole, or it has an asymptote. Plug in -5 for x in the denominator of the rational function. What do you get? You get zero in the denominator, meaning the function is undefined at x=-5.
I'm assuming it is asking for surface area.
SA = 2(lw) + 2(hw) + 2(lh)
SA = 2(3*4) + 2(4*8) + 2(3*8)
SA = 2(12) + 2(32) + 2(24)
SA = 24 + 64 + 48
SA = 136 square feet
