3x^2 -6 = 10 -x^2
4x^2= 16
x^2= 4
x= -2 or 2
If you divide 24 by 0.25 (1/4), you would get your answer. Since the formula is LxW, your answer will be 96. 24 divided by 1/4 is 96/97.
Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let
. Its vertex can be found on the coordinates
such that
and
, in which
.
Using the coefficients given by the question, we get that:
![x_v=-\dfrac{8}{2\cdot(-1)}\\\\\\ x_v=-\dfrac{8}{-2}\\\\\\ x_v=4](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7B8%7D%7B2%5Ccdot%28-1%29%7D%5C%5C%5C%5C%5C%5C%20x_v%3D-%5Cdfrac%7B8%7D%7B-2%7D%5C%5C%5C%5C%5C%5C%20x_v%3D4)
Thus, we have:
![y=f(x_v)=f(4)](https://tex.z-dn.net/?f=y%3Df%28x_v%29%3Df%284%29)
So the statement is true, because the
coordinate of the vertex of the function is equal to ![4.~~\checkmark](https://tex.z-dn.net/?f=4.~~%5Ccheckmark)
Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Answer:
c. x = 0
Step-by-step explanation:
2(x-3)+9=3(x+1)+x
⇔
2x - 6 + 9 = 3x + 3 + x
⇔
2x + 3 = 4x + 3
⇔
2x = 4x
⇔
4x - 2x = 0
⇔
2x = 0
⇔
x = 0