Answer:
4
Step-by-step explanation:
If two variables are proportional then
...(i)
where, k is constant of proportionality.
The given equation is
...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable:
Dependent variable:
Constant of proportionality:
Therefore, the constant of proportionality is 4.
Answer:
See explanation
Step-by-step explanation:
Assuming the given polynomial is

We then rewrite in decreasing powers of u, to get:

The leading term is

The leading coefficient is the coefficient of the leading term.
The leading coefficient is -7.
The proportion equal to a/b = c/d is A.) A/C = B/D
We will know if a proportion is equivalent when its cross products are equal.
a/b = c/d where ad = bc
since ad = bc, a/c = b/d
Answer:
Circle
Step-by-step explanation:
Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).
The parametric equation for a circle with an equation
is given by:

where r is the radius of the circle and (h, k) is the center of the circle.
A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:
(x + 1)² + (y - 4)² = 3²
Answer:
The equation would be y = x - 1
Step-by-step explanation:
In order to find the equation of the line, we first can express the two sets of data as an ordered pair. The two ordered pairs would be (3, 2) and (9, 8). Now that we have these, we can use the slope formula to find the slope.
m (slope) = (y2 - y1)/(x2 - x1)
m = (8 - 2)/(9 - 3)
m = 6/6
m = 1
Now that we have the slope, we can use either point and point slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = 1(x - 3)
y - 2 = x - 3
y = x - 1