Answer:
Step-by-step explanation:
Given that a curve in polar coordinates is given by:
r=9+3cosθ
a) At point P, we have

Substitute to get

b) Cartesian coordinate is

c) At the origin r =0
when r =0
we have

Since cos cannot take values as -3 it doe snot pass through origin.
Answer:
angle M = 98
Step-by-step explanation:
since they all equal 180
do 3x-16+x+6+x = 180 now add 10 two both sides and get
3x+x+x = 190
5x = 190
x = 38
now plug that in to 3x-16 to get 98
To find how much she needs of every ingredient, multiply every ingredient by 2/3.
Butter: 2•2/3=4/3=1&1/3 cups
Marshmallows: 24•2/3=16 oz
Cereal: 13•2/3= 26/3=8&2/3 cups
Answer:
a
Step-by-step explanation:
The only error you made is on problem 3. Everything else is correct. Nice work.
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Here is how to solve problem 3
Plug x = 1 into the equation and solve for y
-3x + y = 1
-3*1 + y = 1 ... replace x with 1
-3 + y = 1
y - 3 = 1
y - 3 + 3 = 1 + 3 .... add 3 to both sides
y = 4
<h3>The answer is 4</h3>
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Verifying the answer:
Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.
-3x + y = 1
-3*1 + 4 = 1 ..... replace x with 1; replace y with 4
-3 + 4 = 1
1 = 1
The answer is confirmed.
If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.