Answer:
Step-by-step explanation:
The area of a rectangle is equal to 
, where 
is the length of the rectangle and 
is the width of the rectangle. In a rectangle, opposite sides are equal.
Therefore, we can write the following system of equations:
Expand the first equation:
Substitute the second equation into the first (
):
Solving for 
:
Answer: B
Step-by-step explanation:
Answer:
Step-by-step explanation:
The slope-intercept form of the equation of a line:
m - slope
b - y-intercept → (0, b)
The point-slope form of the equation of a line:
m - slope
(x₁, y₁) - point
We have the equation of a line:
and the point (0, 2) → b = 2.
Substitute:
Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
