Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.34 |
Score | 0% | 67% |
On this circle, a line segment connecting point A to point D is called:
circumference |
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chord |
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diameter |
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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).
Which of the following expressions contains exactly two terms?
quadratic |
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monomial |
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polynomial |
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binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
vertical, supplementary |
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supplementary, vertical |
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acute, obtuse |
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obtuse, acute |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
A quadrilateral is a shape with __________ sides.
3 |
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5 |
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2 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve for z:
z2 - 10z + 44 = 3z + 4
5 or 8 | |
1 or 1 | |
-1 or -7 | |
7 or 5 |
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:
z2 - 10z + 44 = 3z + 4
z2 - 10z + 44 - 4 = 3z
z2 - 10z - 3z + 40 = 0
z2 - 13z + 40 = 0
Next, factor the quadratic equation:
z2 - 13z + 40 = 0
(z - 5)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z - 8) must equal zero:
If (z - 5) = 0, z must equal 5
If (z - 8) = 0, z must equal 8
So the solution is that z = 5 or 8