The answer is -8/15 because you need to cancel out the variables first
The 3 panes would cost $7.65.
We are given the following quadratic equation
The vertex is the maximum/minimum point of the quadratic equation.
The x-coordinate of the vertex is given by
Comparing the given equation with the general form of the quadratic equation, the coefficients are
a = 2
b = 7
c = -10
The y-coordinate of the vertex is given by
This means that we have a minimum point.
Therefore, the minimum point of the given quadratic equation is
Answer:
The equation is: y = 1/2x + 7
Step-by-step explanation:
The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).
Use the point slope form of the equation:
y - y1 = m(x - x1)
Substitute:
y - 3 = 1/2(x - (-8))
y - 3 = 1/2x + 4
y = 1/2x + 4 + 3
y = 1/2x + 7
Proof:
Solve for f(x) when x = -8.
f(x) = 1/2x + 7
f(-8) = 1/2(-8) + 7
= -8/2 + 7
= -4 + 7
= 3, giving the point (-8, 3)
A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
