Greetings from Brasil...
Let's apply the given formula:
A = (1/2)·B·H
The base of this polygon (in this case, the triangle) is B
B = X² - 2X + 6
The height of this polygon is H and is H
H = X + 4
Applying these values (B and H) in the given formula.....
A = (1/2)·B·H
A = (1/2)·(X² - 2X + 6)·(X + 4)
A = (1/2)·(X³ + 2X² - 2X + 24)
A = (X³/2) + X² - X + 12
OR
A = (X³ + 2X² - 2X + 24)/2
You can answer this problem using the midpoint formula, but we can work out the 4th vertex by just logically thinking it through by first drawing out the rhombus on an x-y coordinate plane. I wrote the answer out on paper since it is easier than typing. Let me know if you have any questions.
Answer:
B) 1/4 × 3/6 = 3/24
Step-by-step explanation:
1/4 of the rectangles are colored blue(ish).
3/6 of the rectangles are colored yellow(ish).
The colors overlap in 3/24 of the rectangles.
The problem statement with these numbers in it is that of choice B.
Answer:
None (no solutions)
Step-by-step explanation:
-10q=-10q-7 (add 10q to both sides to get the costant 7 by itself)
-10q+10q=-10q+10q-7
0=-7 ( zero will never equal -7 hence there are no solutions to this equation)
D:11a+8b and the other factor would be 11a-8b
