Parallel axis theorem Study guides, Revision notes & Summaries
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MAT2615 EXAM PACK 2023
- Exam (elaborations) • 108 pages • 2023
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INTRODUCTION 
Dear Student 
Welcome to MAT2615. We trust that you will find the mathematics studied in this module interesting 
and useful, and that you will enjoy doing it. 
THIS TUTORIAL LETTER CONTAINS INFORMATION TO FACILITATE YOUR STUDIES. PLEASE 
READ IT CAREFULLY AND KEEP IT FOR FUTURE REFERENCE. 
The delivery mode for this module is “blended”, which means that only some study material will be 
printed and posted to you. All study material which may include additional material will be...
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Mathematics for Elementary Educators III - D127 Images included
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Mathematics for 
Elementary Educators 
III - D127 
Images included 
vertical line 
A line that runs up and down on the coordinate plane, parallel to the yaxis. It has no run, or change in x-value. 
complementary angles 
Two angles whose sum is equal to 90°. 
line 
A straight one-dimensional figure that extends infinitely in both 
directions. 
origin 
The point on a coordinate plane where the x-axis and y-axis intersect. 
Typically, the point represents 0 on both axes. 
tangent 
A straight...
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WGU C972 College Geometry 100% Correct
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WGU C972 College Geometry 100% Correct Area of a Circle A=πr² 
Arc Length Formula L = 2πr (m⁰/360⁰) 
Circumference of a circle 2πr or πd 
Area of a sector Area of a Sector = (central angle/360) x πr² 
Midpoint formula (x₁+x₂)/2, (y₁+y₂)/2 
Distance Formula d = √[( x₂ - x₁)² + (y₂ - y₁)²] 
slope-intercept form y=mx+b 
point-slope form y - y1 = m(x - x1) 
intercept form x/a + y/b = 1 
general form Ax + By + C = 0 
definition of a tetrahedron closed solid structure fo...
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Mathematics for Elementary Educators III - D127 Images included
- Exam (elaborations) • 35 pages • 2023
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Mathematics for 
Elementary Educators 
III - D127 
Images included 
vertical line 
A line that runs up and down on the coordinate plane, parallel to the yaxis. It has no run, or change in x-value. 
complementary angles 
Two angles whose sum is equal to 90°. 
line 
A straight one-dimensional figure that extends infinitely in both 
directions. 
origin 
The point on a coordinate plane where the x-axis and y-axis intersect. 
Typically, the point represents 0 on both axes. 
tangent 
A straight...
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WGU D127 Mathematics for Elementary Educators III Questions And Answers
- Exam (elaborations) • 11 pages • 2023
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WGU D127 Mathematics for Elementary Educators III Questions And Answers 
 
line - ANSWER- A straight one-dimensional figure that extends infinitely in both directions. 
 
perpendicular - ANSWER- Describes lines intersecting each other to form a 90 degree, or right, angle. 
 
circle - ANSWER- The set of all points that are equidistant from a point. 
 
radius - ANSWER- The distance from the center of a circle or sphere to any point on the outer edge. 
 
isosceles trapezoid - ANSWER- Quadrilateral ...
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UPDATED Mathematics for Elementary Educators III - D127 Images included
- Exam (elaborations) • 35 pages • 2024
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vertical line 
A line that runs up and down on the coordinate plane, parallel to the y- 
axis. It has no run, or change in x-value. 
complementary angles 
Two angles whose sum is equal to 90°. 
line 
A straight one-dimensional figure that extends infinitely in both 
directions. 
origin 
The point on a coordinate plane where the x-axis and y-axis intersect. 
Typically, the point represents 0 on both axes. 
tangent 
A straight line that touches a circle at only one point. 
circle 
The set of all ...
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ACT Test Prep Math Concepts 104 Questions with Verified Answers,100% CORRECT
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ACT Test Prep Math Concepts 104 Questions with Verified Answers 
 
 
Undefined - CORRECT ANSWER division by zero; a/bc is ___ if b or c is equal to zero 
 
real number - CORRECT ANSWER number that has a location on the number line 
 
imaginary number - CORRECT ANSWER on the ACT, ___ numbers involve the square root of a negative number; square root of -4 
 
integer - CORRECT ANSWER this is a whole number.. includes negative whole numbers and zero 
 
rational number - CORRECT ANSWER a number that...
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OCR A Level Maths - Pure
- Exam (elaborations) • 12 pages • 2023
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Factor Theorem - ANS-A polynomial f(x) has a factor (x - a) if and only if f(a) = 0 
It has a factor (bx-a) if f(a/b) = 0 
Sketching polynomials - ANS-Shape: Reflect in x-axis if there is a negative x 
Roots: - Crosses x-axis at any root e.g. (x+5) would mean crosses at negative 5 
-However, if negative x is in the bracket e.g. (5-x) would mean crosses at positive 5 
-Also a repeated root means the curve just touches at that point 
Sketching graphical inequality - ANS-Shade where the inequality ...
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OCR A Level Maths - Pure
- Exam (elaborations) • 12 pages • 2023
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Factor Theorem - ANS-A polynomial f(x) has a factor (x - a) if and only if f(a) = 0 
It has a factor (bx-a) if f(a/b) = 0 
Sketching polynomials - ANS-Shape: Reflect in x-axis if there is a negative x 
Roots: - Crosses x-axis at any root e.g. (x+5) would mean crosses at negative 5 
-However, if negative x is in the bracket e.g. (5-x) would mean crosses at positive 5 
-Also a repeated root means the curve just touches at that point 
Sketching graphical inequality - ANS-Shade where the inequality ...
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A-Level Pure Mathematics Formulas – WJEC Questions and Answers 2023
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A-Level Pure Mathematics Formulas – WJEC Questions and Answers 2023 
Completing the Square (Quadratic) 
a(x+B)^2+c 
 
 
 
Quadratic Formula 
x = -b ± √(b² - 4ac)/2a 
 
 
 
The Discriminant 
b^2-4ac 
 
 
 
Two distinct real roots 
b^2-4ac > 0 
 
 
 
One real repeated root 
b^2-4ac = 0 
 
 
 
No real roots 
b^2-4ac < 0 
 
 
 
Factor Theorem 
If (x-a) is a factor of given polynomial P(x), P(a) = 0 
 
 
 
Remainder Theorem 
If given polynomial f(x) is divided by (x-a) and isn't a factor...