Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
Both Peter and Eric had the same unit rate of 72mph.
Step-by-step explanation:
Peter:
432/6 = 72
72 miles per hour
Eric:
360/5 = 72
72 miles per hour
Answer:
2,443,805,600
Step-by-step explanation:
4/6 is an equivalent to 2/3
Answer:
132.233 ft2
Step-by-step explanation:
Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:
And the area of the rectangle is:
If the perimeter of the window is 41 feet, we have:
Now, the equation for the total area of the window is:
To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:
So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:
