| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
On this circle, a line segment connecting point A to point D is called:
chord |
|
diameter |
|
circumference |
|
radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If side x = 9cm, side y = 13cm, and side z = 5cm what is the perimeter of this triangle?
| 27cm | |
| 33cm | |
| 34cm | |
| 35cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 13cm + 5cm = 27cm
If side a = 2, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{68} \) | |
| \( \sqrt{113} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{29} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 82
c2 = 4 + 64
c2 = 68
c = \( \sqrt{68} \)
On this circle, line segment CD is the:
radius |
|
diameter |
|
circumference |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for y:
y2 + y - 56 = 0
| 7 or -8 | |
| 7 or 3 | |
| 5 or -9 | |
| -2 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + y - 56 = 0
(y - 7)(y + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 7) or (y + 8) must equal zero:
If (y - 7) = 0, y must equal 7
If (y + 8) = 0, y must equal -8
So the solution is that y = 7 or -8