Hosting a dinner party for 38 people, you plan to serve peach pie for dessert. Each pie has 8 slices. How many pies must you buy
2 answers:
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Answer:
Look to the attached graph
Step-by-step explanation:
* Lets revise how to graph the quadratic function
- Find the vertex of it
- Find the y-intercept
- Find the x-intercept
∵ f(x) = (x - 5)² + 1 ⇒ the completing square form
- The completing square form for any quadratic is
( x - h)² + k, where h and k are the coordinate of the vertex point
* Lets compare the two forms
∵ (x - h)² + k = (x - 5)² + 1
∴ h = 5 and k = 1
∴ The vertex of the parabola is (5 , 1)
- To find the x-intercept put f(x) = 0
∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides
∴ (x - 5)² = -1 ⇒ the square can not give -ve number
∴ The parabola does not intersect the x-axis
- To find the y-intercept put x = 0
∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26
∴ The parabola intersects the y-axis at point (0 , 26)
- The parabola is opened upward because the coefficient of x² is +ve
* Now lets graph it
- Look to the attached graph
Answer: The length of the square is
Step-by-step explanation:
By definition, the area of a Regular polygon can be calculated with the following formula:
Where "s" the length of any side of the polygon and "n" is the number of sides .
According to the information given in the exercise, you know that:
Since an hexagon has six sides, you know that:
Therefore, its area is:
The formula to find the area of a square is:
Where "s" is the length of any side of the square.
Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".
Then you get: