Answer:
Option D 
Step-by-step explanation:
Verify each quadratic equation
case A) we have

This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3

----> is not true
therefore
x=3 is not a solution of the quadratic equation
case B) we have

This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3

----> is not true
therefore
x=3 is not a solution of the quadratic equation
case C) we have

This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3

----> is not true
therefore
x=3 is not a solution of the quadratic equation
case D) we have

This quadratic equation has a leading coefficient of 1
Substitute the value of x=3 and x=-2 in the equation
For x=3

----> is true
therefore
x=3 is a solution of the quadratic equation
For x=-2


----> is true
therefore
x=-2 is a solution of the quadratic equation
Answer:
70.95 cm squared
Step-by-step explanation:
11 x 4.3 = 47.3
47.3 / 2 = 23.65
3 x 23.65 = 70.95
the volume is 70.95 cm squared
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is
.
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:

Where:
,
- Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
- Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:



Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is
.
Answer:
How many One-sixths are in Two-thirds?
Step-by-step explanation:
Answer:
12; 8
Step-by-step explanation:
length-x
breadth-2/3x
2(x+2/3 x)=40
2×5/3x=40
10/3x=40
x=40÷10/3
x=40×3/10
x=12 (cm) length
2/3×12=8 (cm) breadth