| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
If AD = 23 and BD = 17, AB = ?
| 5 | |
| 18 | |
| 6 | |
| 19 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDIf a = 6, b = 2, c = 9, and d = 2, what is the perimeter of this quadrilateral?
| 19 | |
| 30 | |
| 15 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 2 + 9 + 2
p = 19
If side a = 4, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{58} \) | |
| 5 | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 32
c2 = 16 + 9
c2 = 25
c = \( \sqrt{25} \)
c = 5
On this circle, a line segment connecting point A to point D is called:
circumference |
|
chord |
|
radius |
|
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).
Simplify (6a)(5ab) - (7a2)(2b).
| 16a2b | |
| 44a2b | |
| -16ab2 | |
| 99ab2 |
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.
(6a)(5ab) - (7a2)(2b)
(6 x 5)(a x a x b) - (7 x 2)(a2 x b)
(30)(a1+1 x b) - (14)(a2b)
30a2b - 14a2b
16a2b