| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
A coordinate grid is composed of which of the following?
x-axis |
|
all of these |
|
y-axis |
|
origin |
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.
If a = c = 3, b = d = 5, what is the area of this rectangle?
| 15 | |
| 18 | |
| 49 | |
| 30 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 5
a = 15
If angle a = 39° and angle b = 35° what is the length of angle c?
| 106° | |
| 72° | |
| 77° | |
| 90° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 39° - 35° = 106°
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c2 - a2 |
|
c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
slope |
|
y-intercept |
|
x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.