Good evening.
This is a
incomplete quadratic equation, because it does not have the term
bx. Therefore, we can solve this faster with the following strategy:
Add
16 to both sides:
Take the square root:
Therefore:
9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² +<u> </u><u>4 </u>x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = <u> -2 </u>
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x +<u> 4 </u> = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√<u> 2 </u>
Finally, 2 is subtracted from both sides to find the values of x.
5. x = <u> -2 ±√2 </u>
Answer:
That x is any number bigger that 5 so 6 plus
Step-by-step explanation:
Answer:
DU = 86
Step-by-step explanation:
Properties of a rectangle,
- Opposite sides are equal in measure.
- Diagonals of a rectangle are equal.
- Diagonals bisect each other.
In the given rectangle QUAD,
Diagonals AQ and DU bisect each other at P.
AQ = DU
2(QP) = DU [Since, AQ = 2(PQ)]
2(2x + 7) = 5x - 4
4x + 14 = 5x - 4
5x - 4x = 14 + 4
x = 18
Since, DU = 5x - 4
DU = 5(18) - 4
= 90 - 4
= 86
Therefore, measure of DU = 86 units
Well, what I would do [not sure if it's the correct way], is use the white area as a sector of a circle. The top right of the box is the center of the circle, so the radius is 6.
Then, by the white portion being one quarter of the circle (90° out of 360°), I could calculate the that pink shaded region = the total square (6×6) minus the white sector.
So area (A) of white sector (s): A(s) = 1/4×pi×r^2
36 - 28.27 = 7.73
