What is the area of triangle ABC?
1 answer:
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For any quadratic functions, ax² + bx + c, we can easily find the x-coordinate of its vertex through the use of the formula below.
where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have
Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.
Thus, the vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the maximum profit that the shop owner could earn.
The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.
From this, we can see that the x-intercepts are (6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the number candles sold if the shop wants to break even.
where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have
Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.
Thus, the vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the maximum profit that the shop owner could earn.
The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.
From this, we can see that the x-intercepts are (6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the number candles sold if the shop wants to break even.
Answer:
The volume of the pyramid is
Step-by-step explanation:
we know that
The volume of the pyramid of the figure is equal to
we have
----> the height must be perpendicular to the base
substitute