To complete the square you halve the coefficient of the x term and square it. Half of 14 is 7 and 7² is 49. So we add 49 and subtract 49, which means we are not changing the value of the quadratic. So we have x²+14x+49-49+2. This can be written: (x²+14x+49)-49+2, which is (x+7)²-47, which is answer a.
Step-by-step explanation:
always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.
Answer:
Let L be the length of the rectangle and w be the width of the rectangle.
"The lenght of a rectangle is one less than twice the width" means L=2W-1
Using perimeter formula of a rectangle which is P=2(L+W) you have:
P=2(L+W)
130=2(2W-1+W)
Solve equation above to find W
130=2(3W-1)
130=6W-2
130+2=6W
132=6W
W=22
From here you find L=2W-1=2x22-1=43
Only thing left is to find area A=LxW
Answer:
x = -2
Step-by-step explanation:
6 - 2(x + 6) = 3x +4
6 -2x - 12 = 3x + 4
6 - 12 - 2x = 3x + 4
-6 -2x = 3x +4
-6 - 4 - 2x = 3x + 4 - 4
-10 -2x = 3x
-10 -2x + 2x = 3x + 2x
-10 = 5x
-10 / 5 = 5x/5
x = -2
I hope this helps!!
Answer:
55 score in his games
Step-by-step explanation: