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Solve for b:
4b - 5 < 7 - 7b
| b < 1\(\frac{1}{11}\) | |
| b < 8 | |
| b < 1\(\frac{1}{3}\) | |
| b < -1\(\frac{1}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
4b - 5 < 7 - 7b
4b < 7 - 7b + 5
4b + 7b < 7 + 5
11b < 12
b < \( \frac{12}{11} \)
b < 1\(\frac{1}{11}\)
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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intersects |
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trisects |
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bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
A quadrilateral is a shape with __________ sides.
5 |
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3 |
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4 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
On this circle, a line segment connecting point A to point D is called:
chord |
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circumference |
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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).
Solve for y:
y2 - 4 = 0
| 4 or -1 | |
| 2 or -2 | |
| 8 or -2 | |
| -9 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 4 = 0
(y - 2)(y + 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 2) or (y + 2) must equal zero:
If (y - 2) = 0, y must equal 2
If (y + 2) = 0, y must equal -2
So the solution is that y = 2 or -2