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Questions and Answers
Given the equation of a circle $(x+3)^2 + (y-4)^2 = 5$, determine the coordinates of the center.
Given the equation of a circle $(x+3)^2 + (y-4)^2 = 5$, determine the coordinates of the center.
- (3, -4)
- (-3, 4) (correct)
- (-3, -4)
- (3, 4)
A line segment's endpoints are at (2, 5) and (8, 12). What is the length of the line segment?
A line segment's endpoints are at (2, 5) and (8, 12). What is the length of the line segment?
- $\sqrt{13}$
- 13
- 85
- $\sqrt{85}$ (correct)
What calculation should you perform to find the number of permutations when arranging 3 objects from a set of 8 distinct objects?
What calculation should you perform to find the number of permutations when arranging 3 objects from a set of 8 distinct objects?
- $8 \times 7 \times 6$ (correct)
- $8 \times 8 \times 7$
- $\frac{8!}{3!}$
- $8 \times 8 \times 8$
If 'B' represents 16, 17, and 12, and 'V' represents 12, 17, and 4, what numbers are in either B or V?
If 'B' represents 16, 17, and 12, and 'V' represents 12, 17, and 4, what numbers are in either B or V?
A bag contains 5 red, 3 blue and 2 green marbles. What is the probability of drawing a red marble?
A bag contains 5 red, 3 blue and 2 green marbles. What is the probability of drawing a red marble?
Given the coordinates (0, 4) and (5, 0), calculate the midpoint of the line segment connecting these points.
Given the coordinates (0, 4) and (5, 0), calculate the midpoint of the line segment connecting these points.
If the probability of drawing a King is $\frac{4}{52}$ and the probability of drawing a Queen is $\frac{4}{52}$, what is the probability of drawing either a King or a Queen from a standard deck of cards?
If the probability of drawing a King is $\frac{4}{52}$ and the probability of drawing a Queen is $\frac{4}{52}$, what is the probability of drawing either a King or a Queen from a standard deck of cards?
How many unique 2-digit numbers can be formed using digits from 0 to 9, if repetition is not allowed?
How many unique 2-digit numbers can be formed using digits from 0 to 9, if repetition is not allowed?
Given that the radius of a circle is $\sqrt{5}$, what is the value of $x^2 + y^2$ for a circle centered at the origin?
Given that the radius of a circle is $\sqrt{5}$, what is the value of $x^2 + y^2$ for a circle centered at the origin?
What is the value of $5C3$?
What is the value of $5C3$?
Flashcards
Distance Formula
Distance Formula
Formula to calculate the distance between two points in a coordinate plane: d = √((x₂ - x₁)² + (y₂ - y₁)²)
Midpoint definition
Midpoint definition
A point that divides a line segment into two equal parts. Formula: ((x₁ + x₂)/2, (y₁ + y₂)/2)
A digit
A digit
A number from 0 to 9.
₈P₃ (Permutation)
₈P₃ (Permutation)
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Circle Equation
Circle Equation
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Circle's Center
Circle's Center
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Card Probability
Card Probability
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Multiples
Multiples
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Study Notes
- Distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)
- An example distance calculation includes the points (2,5) and (8,12)
- √((8-2)²+(12-5)²) = √(6²+7²) = √(36+49) = √85
Halfway/Midpoint
- An example midpoint is 4m North and 5m East
- Using the points (0,4) and (5,0) find the midpoint
- x = (0+5)/2 = 5/2 = 2.5
- y = (4+0)/2 = 4/2 = 2
- The midpoint is (2.5, 2)
Circle Equation
- The equation for a circle is written as x² + y² = 25
- (x+3)²+(y-4)² = 5
- Radius r = √5
- Center of the circle is (-3,4)
Question 5
- Question 5 options: 3A, 4MC, 2D
- 3 x 4 x 2 = 24
Question 6
- Numbers 0 to 9
- There are 10 numbers
- 10 x 9 x 8
Question 7
- ⁸P₃ = 8 x 7 x 6
Question 8
- ⁵C₃ = ?
Question 11
- A Venn diagram with sets B and V includes the numbers 16, 12 and 15
- In either B or V add 16 + 12 + 15
Question 13
- There are 5 red, 3 blue and 2 green objects
- 5/10 = 1/2
Question 15
- Consider Kings or Queens
- 4/52 + 4/52 = 8/52 = 2/13
Question 16
- 3,6,9,12,15,18 out of 20
- List 2,4,6,8,10,1,14,16,18,20 out of 20
- Not meeting expectations is 3/20
- (6+10 - 3)/20 = 13/20
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