Rectangular and polar forms are two forms of equations that translates to plot. In this case, the two forms are convertible to each other by the expressions:

r sin theta = y
r cos theta = x
x2 + y2 = r2

we are given the polar expression r csc theta = 8 and is asked to convert to rectangular form.

in this case, csc theta is equal to 1/ sin theta. thys
r / sin theta = 8

in order to make use of the equations above, then

we multiply r to both numerator and denominator in the left side, that is
r^2 / r sin theta = 8
x2+y2 / y = 8
x 2 + y2 = 8y

3 0

3 years ago

Need help on C. And anyone that knows this can u plz help

Neporo4naja [7]

Ok so first put 4 in your answer. then divide 13 and 25 like this》13÷25 then if needs be simplify!! there u go

8 0

3 years ago

Help me please I’ll give a lot of points

Alenkasestr [34]

Answer:

21. B

22. D

23. C

24. y = 3x - 12

Step-by-step explanation:

21. it has to be a positive slope since the graph shows it is increasing/positive slope. Has to be A or B. But it isn't A because where x = 1 1/2, y doesn't equal 0 like the graph shows.

22. It is D if you rewrite the equation starting with y=, so you subtract 2x on both sides to get y = -2x +6. Parallel means slopes are the same, so the slope has to be -2, which is D.

23. The only one that fits the description is C.

24.

in standard form, rearrange the equation so only y is on one side, the rest on the other.

-4x + 2y = 2x - 24

first add 4x on both sides so -4x cancels out on the left hand side.

-4x + 4x + 2y = 2x + 4x - 24

simplify it and get 2y = 6x - 24

divide both side by 2

y = 3x - 12

plot this as shown with arrows on lines.

please give thanks :)

4 0

3 years ago