| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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isosceles and right |
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equilateral and right |
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equilateral and isosceles |
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.
If c = -5 and y = 9, what is the value of c(c - y)?
| -132 | |
| 70 | |
| -12 | |
| -24 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
c(c - y)
1(-5)(-5 - 9)
1(-5)(-14)
(-5)(-14)
70
What is the circumference of a circle with a radius of 16?
| 14π | |
| 32π | |
| 6π | |
| 16π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π
Solve for a:
a2 - 7a - 7 = -4a - 3
| 2 or -1 | |
| -8 or -8 | |
| 5 or -3 | |
| -1 or 4 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 - 7a - 7 = -4a - 3
a2 - 7a - 7 + 3 = -4a
a2 - 7a + 4a - 4 = 0
a2 - 3a - 4 = 0
Next, factor the quadratic equation:
a2 - 3a - 4 = 0
(a + 1)(a - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 1) or (a - 4) must equal zero:
If (a + 1) = 0, a must equal -1
If (a - 4) = 0, a must equal 4
So the solution is that a = -1 or 4
On this circle, line segment CD is the:
chord |
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diameter |
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circumference |
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radius |
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).