Answer:
Inverse
Step-by-step explanation:
Assuming that c is a constant (the constant of proportion), s = c / (t^3) is a case of inverse variation: As t increases, s decreases.
Answer:
Width = 5 inches
Length = 9 inches
Step-by-step explanation:
The paper;
Length = (x + 4) inches
Width = x inches
The area is close as possible to 50 square inches.
Since this paper is rectangular in shape; the area of a rectangle is given by:
Area = Length × Width
∴ (x + 4) * x = 50 square inches
x² + 4x = 50
Let the area be equal to 45 square inches;
Applying the quadratic formula, x = 5 or -9
But since we are dealing with length measurements, the value of x = 5 inches.
So the width = 5 inches and;
length = 5 + 4 = 9 inches.
Answer:
8.46/6 = 1.41
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that distance d from the focus to P should be the same to the distance from P to the directrix
(x-h)^2=4p(y-k)
we need to find the y coordinate,
x is the same from focus, 3
y=(3, (4+2)/2)=(3,3)
we find p now by subtracting the y from the focus from the y that we just found
p=4-3=1
again (x-h)^2=4p(y-k), p=1
(x-3)^2=4(1)(y-3)
(x-3)^2=4(y-3), (x-3)^2=4y-12
simplify
4y=(x-3)^2+12
y=((x-3)^2)/4 + 3
<h3>
Answer:</h3>
C (see attached)
<h3>
Step-by-step explanation:</h3>
The linear portion of the graph is defined for x ≥ 1, with the point x=1 included. Only selections A and C do that.
The quadratic portion of the graph is defined for x < 1. Only selection C does that. (Selection A is doubly-defined for x > 1, so is not a function. It is undefined for x < 1.)