| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.75 |
| Score | 0% | 75% |
If side x = 15cm, side y = 9cm, and side z = 5cm what is the perimeter of this triangle?
| 29cm | |
| 37cm | |
| 38cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 15cm + 9cm + 5cm = 29cm
If angle a = 37° and angle b = 43° what is the length of angle c?
| 100° | |
| 116° | |
| 109° | |
| 98° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 37° - 43° = 100°
If a = 3, b = 8, c = 2, and d = 4, what is the perimeter of this quadrilateral?
| 13 | |
| 22 | |
| 8 | |
| 17 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 8 + 2 + 4
p = 17
Solve for z:
z2 + 8z + 15 = 0
| -3 or -5 | |
| 3 or 2 | |
| 6 or -8 | |
| 4 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 8z + 15 = 0
(z + 3)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 3) or (z + 5) must equal zero:
If (z + 3) = 0, z must equal -3
If (z + 5) = 0, z must equal -5
So the solution is that z = -3 or -5
What is 5a8 + 6a8?
| -a16 | |
| 11 | |
| 11a8 | |
| -1 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a8 + 6a8 = 11a8