Complete Question:
Convert 3x-y+2=0 in rectangle form to polar form
Answer:
r ( 3cosθ - sinθ) = -2
Step-by-step explanation:
The equation so given is already in rectangular form, the task is to convert it to polar form.
3x - y + 2 = 0
To transform an equation from the rectangular to the polar coordinate:
x = r cosθ
y = r sinθ
Substitute the representations for x and y into the given equation:
3(r cosθ) - (r sinθ) + 2 = 0
3rcosθ - rsinθ = -2
The polar representation of the equation then becomes:
r ( 3cosθ - sinθ) = -2
Answer:
Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x
Thus, option A) is true.
The solution to the system of equations be:

Step-by-step explanation:
It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.
Given the system of equations


Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Add y to both sides


Thus, option A) is true.
<u>NOW LET US SOLVE THE REMAINING PORTION</u>
to solve for y



For x = -1 + y
substitute y = 5


Thus, the solution to the system of equations be:

Answer:A) 1.5
Step-by-step explanation: Bob runs at the rate of 8mins per mile
In 60mins his rate would be=60/8=7.5
Let a be the distance he further runs south
2s+3.25
Total distance covered in 50mins=Time=distance/speed=
50/60
50/60=2s +3.25/7.5
Cross multiply
60(2s+3.25)=50×7.5
120s+195=375
120s=375-195
S=180/120
S=1.5
Take the root of both sides and solve.
Answer:
Length = 15
Width = 6
Area = 90
Step-by-step explanation:
Area of the rectangle = 
Lets factorise the polynomial


We know that Area = Length × Width
Let the length be (x + 3) & width be (x - 6)
Its given in the question that x = 12. So putting the value of x gives ,
Length = 
Width = 
Area = Length × Width = 15 × 6 = 90