# Algebra I

Rectangle ABCD has vertices C and d on the x-axis and vertices A and B on part of the parabola y = 9 - x^2 that is above the x-axis.

a.) Find the coordinates of A, B, C, and D in terms of x.
b.) Determine the Area of the rectangle as a function of x.
c.) What is the domain for the area function? Hint: Area cannot be negative

well I'm completley lost here on how to do this
also for c. technically speaking can't area be negative area is a tensor a magnitude with more then one direciton no? So an area can be negative it would just be in the set of complex numbers no?

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Geometry

The vertices of a triangle are P(-4,1), Q(-2,-8), R(8,-1). What are the vertices of the image reflected across the y-axis? my answer is P'(4,1),Q'(2,-8),R'(-8,-1)

2. ### cal 1

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola. (Round your answers to the nearest hundredth.) y = 7 - x^2

3. ### geometry

What is the most precise name for quadrilateral ABCD with vertices A(–3, 2), B(–1, 4), C(4, 4), and D(2, 2)? 1. parallelogram 2. rhombus 3. quadrilateral 4. rectangle

4. ### Calculus

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y=4−x^2. Width = Height =

1. ### Math

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y equals= 12 minus x^2?

2. ### math

Show that if a rectangle has its base on the x-axis and two of its vertices on the curve y = e^-x^2 , then the rectangle will have the largest possible area when the two vertices are at the points of inflection of the curve.

3. ### algebra

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 - x2

4. ### math

Rectangle ABCD is dilated to form rectangle A’B’C’D’. What is the dilation factor? What is the center of dilation? Select all that apply. The figure shows two rectangles UpperWord ABCD and UpperWord A complement, B

1. ### geometry

Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right

2. ### calculus

A rectangle has its base on the x-axis and its upper two vertices on the parabola y=12−x2 . What is the largest area that the rectangle can have

3. ### Math

The vertices of a triangle are P(-2,-4), Q(2,-5), and R(-1,-8). Name the vertices of the image reflected across the y-axis/

4. ### geometry

The vertices of a triangle are P(-8,1), Q(-6,-8), and R(4,-3) Name the vertices of the image reflected across the x-axis. my answer; P1(-8,1), Q1(-6,8), and R1(4,3)