| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
Find the value of b:
3b + x = -4
-6b - 5x = -1
| -\(\frac{1}{9}\) | |
| -\(\frac{1}{16}\) | |
| -2\(\frac{1}{3}\) | |
| 1\(\frac{5}{7}\) |
You need to find the value of b so solve the first equation in terms of x:
3b + x = -4
x = -4 - 3b
then substitute the result (-4 - 3b) into the second equation:
-6b - 5(-4 - 3b) = -1
-6b + (-5 x -4) + (-5 x -3b) = -1
-6b + 20 + 15b = -1
-6b + 15b = -1 - 20
9b = -21
b = \( \frac{-21}{9} \)
b = -2\(\frac{1}{3}\)
If side x = 14cm, side y = 5cm, and side z = 11cm what is the perimeter of this triangle?
| 31cm | |
| 27cm | |
| 25cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 14cm + 5cm + 11cm = 30cm
If the base of this triangle is 8 and the height is 5, what is the area?
| 20 | |
| 36 | |
| 49 | |
| 42 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 5 = \( \frac{40}{2} \) = 20
On this circle, a line segment connecting point A to point D is called:
circumference |
|
radius |
|
chord |
|
diameter |
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 a = 5, b = 6, c = 1, and d = 9, what is the perimeter of this quadrilateral?
| 11 | |
| 21 | |
| 23 | |
| 17 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 6 + 1 + 9
p = 21