| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and right |
|
equilateral and isosceles |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Simplify 7a x 7b.
| 49\( \frac{a}{b} \) | |
| 49ab | |
| 14ab | |
| 49a2b2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
7a x 7b = (7 x 7) (a x b) = 49ab
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
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a2 - c2 |
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c2 - a2 |
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, \(c = \sqrt{a + b}\)
If a = 1, b = 9, c = 4, and d = 1, what is the perimeter of this quadrilateral?
| 19 | |
| 24 | |
| 15 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 9 + 4 + 1
p = 15
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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y-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
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.