The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
<h3>How to determie the equation of the cross-section?</h3>
The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
Read more about quadratic functions at:
brainly.com/question/1497716
Area of a circle = pi x r^2
Area of circle = 150,000/ 1578 = 95.06 square miles
95.06 = 3.14 x r ^2
Divide both sides by 3.14
R^2 = 30.27
Find the square root:
R = sqrt(30.27)
R = 5.5
The radius is c) 5.5 miles
32+33=65
60/2 is 30, so they have to be in their thirties. Then 2+3=5, therefore they must be 32 and 33
Answer:
Step-by-step explanation:
The first step will be to make y the subject of the formula, by multiplying both sides of the equation by -1.
y = x - 1
This is simply the equation of a line with a slope of 1 and y-intercept (0,-1)
To determine the three points that solve the equation, we can let x be;
0, 1, 2
When x =0, y = 0-1 = -1
When x = 1, y = 1-1 = 0
When x = 2, y = 2 - 1 = 1
Therefore, we have the following three sets of points that can be used to graph the given linear equation;
(0, -1)
(1, 0)
(2, 1)
Find the attached for the graph
Answer:each student will sell 9 balloons.
Step-by-step explanation:
The total number of balloons sold by the six groups at the carnival is 162. There are 3 students in each group. This means that the total number of students in the six groups would be 6 × 3 = 18 students.
If each student sells the same number of balloons, then it means that the number of balloons that each student sells will be
162/18 = 9
