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:
36 units
Step-by-step explanation:
If half of one of the 6 sections is three the the other half is equivalent so I multiplied 6×6 and it gave me 36 (units).
Answer:
sure
Step-by-step explanation:
Answer:
The slope of the line = m = 2
Step-by-step explanation:
Taking two points from the line graph
Determining the slope between (0, 0) and (1, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 0] / [1 - 0]
= 2 / 1
= 2
Thus, the slope of the line = m = 2
Answer:
16
Step-by-step explanation:
To solve this, you need to evaluate the function at f(1), which just means that you have to plug in 1 for any x you see in the equation. For example, here f(1) = 2(1) + 2 which simplifies to 4. Next find f(5). By doing the same process you will find that this is 12. The problem asks for f(1) + f(5) so by putting those values in you will get 4+12=16. Hope this helps! :)
