Step 1 he had to multiply the $22.75 times 3 weeks it should have been
($22.75 x 3) + $32.75 - $14.25
$68.25 + 32.75 - $14.25
$86.75
The domain is all the numbers of which the inputs can be put. Here, we have a graph, which simplifies things. We just need to look at the x-values of the graph, or the horizontal line. The graph extends both negatively and positively. Thus since the graph extends both ways (right and left) forever, the answer would be D, or all real numbers.
Ur independent variable is ur x values....ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)....and ur dependent values are ur distance.
(0,0),(2,50)
slope = (50 - 0) / (2 - 0) = 50/2 = 25
y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x...which is basically saying that he travels 25 miles per hr
how far will he travel in 24 hrs.....so sub in 24 for x
y = 25(24)
y = 600 miles
in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.
The expression 3P2 can also be read as "permutation of 3 taken 2". This represents the number of ways in which the 3 items are arranged with the emphasis on the arrangement of the first two other items.
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
