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|---|---|---|
| Questions | 5 | 5 |
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Find the value of b:
3b + y = 4
-4b - 9y = -6
| -\(\frac{11}{15}\) | |
| -3 | |
| 1\(\frac{7}{23}\) | |
| 1\(\frac{7}{22}\) |
You need to find the value of b so solve the first equation in terms of y:
3b + y = 4
y = 4 - 3b
then substitute the result (4 - 3b) into the second equation:
-4b - 9(4 - 3b) = -6
-4b + (-9 x 4) + (-9 x -3b) = -6
-4b - 36 + 27b = -6
-4b + 27b = -6 + 36
23b = 30
b = \( \frac{30}{23} \)
b = 1\(\frac{7}{23}\)
On this circle, line segment AB is the:
radius |
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diameter |
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circumference |
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chord |
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).
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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intersects |
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bisects |
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midpoints |
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.
If a = c = 2, b = d = 4, and the blue angle = 51°, what is the area of this parallelogram?
| 8 | |
| 36 | |
| 18 | |
| 72 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 4
a = 8
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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π r2h2 |
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2(π r2) + 2π rh |
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π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.