Answer:
10 inches
Step-by-step explanation:
Given the side length if ABCD = 20 inches.
The midpoint of the sides ABCD implies the point that divides each of the sides into two equal parts.
Midpoint of side AB = BC = CD = AC = = 10 inches
So that, the side length of the square to be formed by joining the midpoints of the sides of ABCD is 10 inches.
Discussion
1. Put brackets around the first two terms
y = (-x^2 + 6x) + 5
2. Take out the common factor of -1
y = -(x^2 - 6x) + 5
3. Inside the brackets, take 1/2 of - 6 and square it
y = -(x^2 - 6x + ( - 6 / 2)^2 ) + 5
y = -(x^2 - 6x + (- 3)^2 ) ) + 5
y = -(x^2 - 6x + 9 ) + 5
Note: Step 3 is very long. Make sure you work your way through it
4. You have added 9 inside the brackets. <em><u>It is actually - 9. So add 9 outside to balance the equation out. </u></em> This is the key step. Make sure you understand it.
y = - (x^2 - 6x + 9) + 5 + 9
5. Express the brackets as a square.
y = - (x + 3)^2 + 14
Discussion
The equation is now in vertex form. The minus tells you that the equation is a maximum. The maximum is located at ( - 3, 14 )
A graph follows to show the results.
Answer:
5-1/2 = 4 1/2 4 1/2= 4.5. and 4.5 is not greater then 30, thus this statement is false
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2×4 is the only one that equals less than 9, 2× 4.5 is 9, 2×5.5 is 11, 2×6 is 12, and the question is trying to get below 9, so 4 is the only answer that can get below 9