What are the domain and ra range of the function (x) = 4x+52
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The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
<h3>What is a parabola?</h3>It is defined as the graph of a quadratic function that has something bowl-shaped.
Making perfect square:
The highest point will be when term (4t-9)² becomes zero
So the highest point = 81 feet, and it takes:
t = 9/4 seconds
Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t
Learn more about the parabola here:
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The area of the triangle on left is in²: 9
The area of the triangle on the right is in²: 9
The area of the rectangle is in²: 108
The area of the trapezoid is in²: 126
<h3>Area of Compound Shapes</h3>This exercise requires your knowledge about the area of compound shapes. For solving this, you should:
- Identify the basic shapes;
- Calculate your individual areas;
- Sum each area found.
For finding the area, the steps are presented below.
- STEP 1 - Identify the basic shapes.
This trapezoid is composed of two triangles and one rectangle. Therefore, you should sum the area of these geometric figures.
- STEP 2 - Find the area of the triangle.
Area of the triangle - . The figure shows:
b= length of the base= 2in
h=height=9 in
Then,
Note that the triangles are equals, consequently, they present the same values for the area.
- STEP 3 - Find the area of the rectangle.
Area of the rectangle- . The figure shows:
b= length of the base= 12 in
h=height= 9in
Then, .
- STEP 4 - Find the area of the trapezoid.
Learn more about the area of compound shapes here: