Answer:
x=2
Step-by-step explanation:
F(x) = 2x^2 - 8x +8
Axis of symmetry lies at the x coordinate of vertex
To find x coordinate of vertex use formula
from the given f(x) , a= 2 and b = -8
Plug in all the values
x=2
So the axis of symmetry at x=2
Yes. If you can express it as a fraction (=ratio) then it is rational. 0.8 is the same as 8/10.
Answer:
EF is 16.
Step-by-step explanation:
So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:
We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:
Now, solve for x.
On the right, combine like terms:
Subtract 4x from both sides:
Subtract 5 from both sides:
Divide both sides by -1:
Now that we know x is 11, substitute this back into the equation for EF to find EF.
Substitute 11 for x:
Multiply:
Subtract:
And we're done!
Multiply all by 2
2A=bh
2A/h=b
Answer:
The coordinates of endpoint B are (15, 5).
Step-by-step explanation:
This problem gives you the midpoint coordinates of line segment AB, and the coordinates of endpoint A. Given this, you can find the "distance" between the two points and thus the "distance" between the midpoint and point B.
Start by subtracting the the coordinates of point A from the coordinates of the midpoint.
X: 9-3=6
Y: 7-9=-2
X travels along the horizontal axis, while Y travels along the vertical axis. This means that a positive X goes right, a negative X goes left, a positive Y goes up, and a negative Y goes down.
Because you have a positive 6 for X, the line traveled 6 units right from point A to the midpoint. And because you have a negative 2 for Y, the line traveled 2 units down from point A to the midpoint.
Now, going from the midpoint to your unknown point B is simply shifting the discovered number of units right and down, or adding and subtracting from your midpoint accordingly.
M(9, 7)
B(9+6, 7-2)
B(15, 5)
