Answer:
y varies as √(x+5)
Step-by-step explanation:
y varies as √(x+5)
y= k√(x+5)
k is a constant connecting the two sides.
therefore
k=y/√(x+5)
k=4/√(-1+5)
k= 4/√4
k=4/2
k=2
Y when x=11
y=k√(x+5)
y=2√(11+5)
y=2√16
y=2*4
y=8
True, for a contrapositive you switch the parts and then make them opposite, but the statement is still true.
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:
F. because the bottom will only move