| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Find the value of b:
9b + y = -9
-6b + 4y = 3
| \(\frac{1}{2}\) | |
| \(\frac{4}{17}\) | |
| 1\(\frac{3}{14}\) | |
| -\(\frac{13}{14}\) |
You need to find the value of b so solve the first equation in terms of y:
9b + y = -9
y = -9 - 9b
then substitute the result (-9 - 9b) into the second equation:
-6b + 4(-9 - 9b) = 3
-6b + (4 x -9) + (4 x -9b) = 3
-6b - 36 - 36b = 3
-6b - 36b = 3 + 36
-42b = 39
b = \( \frac{39}{-42} \)
b = -\(\frac{13}{14}\)
If a = c = 9, b = d = 4, what is the area of this rectangle?
| 35 | |
| 36 | |
| 3 | |
| 27 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 4
a = 36
A coordinate grid is composed of which of the following?
y-axis |
|
all of these |
|
origin |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
What is the circumference of a circle with a diameter of 10?
| 10π | |
| 9π | |
| 5π | |
| 22π |
The formula for circumference is circle diameter x π:
c = πd
c = 10π
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).