| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Simplify (5a)(5ab) - (9a2)(7b).
| 160a2b | |
| 88ab2 | |
| -38a2b | |
| 160ab2 |
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.
(5a)(5ab) - (9a2)(7b)
(5 x 5)(a x a x b) - (9 x 7)(a2 x b)
(25)(a1+1 x b) - (63)(a2b)
25a2b - 63a2b
-38a2b
If the base of this triangle is 7 and the height is 1, what is the area?
| 67\(\frac{1}{2}\) | |
| 48 | |
| 78 | |
| 3\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 1 = \( \frac{7}{2} \) = 3\(\frac{1}{2}\)
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
|
area = ½bh |
|
perimeter = sum of side lengths |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
a2 - c2 |
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c2 + a2 |
|
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 side x = 12cm, side y = 14cm, and side z = 9cm what is the perimeter of this triangle?
| 28cm | |
| 38cm | |
| 35cm | |
| 40cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 14cm + 9cm = 35cm