A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle.
The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
r² = x² + y²
If we are to simplify this for the r alone, we have,
r = sqrt (x² + y²)
Substituting the known values,
r = sqrt ((4)² + (-4)²) = 4√2
The x and y can be related through the trigonometric function, tangent.
tan θ = y/x
To solve for θ
θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°
Hence, the polar coordinate is <em>(4√2, 315°)</em>
Answer: x=11
Step-by-step explanation:
First distribute 3 to both x and -3.
3x-9=24
Then add 9 to both sides to leave the x on its own.
3x=33
Divide by 3 on both sides.
X=11
Remember, you can do anything to an equation as long as you do it to both sides
times 4 both sides because we hate fractions
3x+8=16x-4
minus 3x both sides
8=13x-4
add 4 both sides
12=13x
divide both sides by 13
12/13=x
x=12/13
Answer:
C. 35
Step-by-step explanation:
I just went through all the numbers, multiplied them by 2, because you start with x which is 50, and the goal is to get to 120 with 50 and a number multiplied by two, so I tried 35 which would be 70 when multiplied by two, then added 50, which would make 120.
Step-by-step explanation:
The question is not clear to me
