2 years ago

Acar is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?

Mathematics

1 answer:

Valentin [98]2 years ago

6 0

When the number of hours increases, the number of miles increases

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Graph the inequality y ≤ |x + 2|. Which point is NOT part of the solution?

ddd [48]

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(-1 , 2) Not part of the solution

Step-by-step explanation:

from the graph:

(0 , 0) in the red part ⇒ it's a solution

(-1 , -2) in the red part ⇒ it's a solution

(1 , 2) in the red part ⇒ it's a solution

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umka2103 [35]

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 (4√2, 315°)

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