Parabola Study guides, Class notes & Summaries

INTRODUCTION: The following exploration investigates the projectile motion of a volleyball when being served. Since I have played volleyball for 5 years, I started wondering how the angle at which I hit the ball when I serve would have an influence on the trajectory of the ball. A good serve is one of the most important things in volleyball. Each serve is a potential point and having an idea of where to hit the ball at in order for it to land in the area where it is most difficult for the ...

1. A circle can be centered anywhere in the coordinate plane. ANSWER: True 2. Find the standard equation of the hyperbola which satisfies the given conditions: Vertices (-2, 8) and (8, 8), a focus (12, 8) ANSWER: (x−3)225−(y−8)256=1(x−3)225−(y−8)256=1 3.What are the coordinates of the center of the circle given by the equation x2+y2-16x- 8y+31=0? ANSWER: (8,4) 4.Give the standard equation of the circle satisfying the given condition: center at the origin, radius 4Give ...

Math 5158 Praxis Latest 2024 Graded A+ Negation If a statement is represented by p, then not p is the negation of the statement. A proposition that is true if and only if another proposition is false. "All p is q - negation can be some p is not q" (draw Venn) Units digit the digit in the one's place y as a function of x Vertical line test - can't intersect more than once Rhombus A parallelogram with four equal sides Set Collection Identity property of set if there is an e...

FE Actual Questions and Answers 2024/2025 Solved 100% 15 kg/s of air are compressed from 1 atm and 300K (enthalpy of 300.19 kJ/kg) to 2 atm and 900K (enthalpy of 732.93 kJ/kg). Heat transfer is negligible. The air compressor's power output is most nearly (A) 5.6 MW (B) 6.5 MW (C) 7.6 MW (D) 8.9 MW - answerB What is most nearly the weight in lbf if a 1.00lbm object in a gravitational field of 27.5ft/s^2? (A) 0.85lbf (B) 1.2lbf (C) 28lbf (D) 32lbf - answerA A rocket that has a mass ...

solve by creating the square x² + 12x +32 = 0 - solve by creating the square 3x² − 7x + 2 = 0 - solve using the quadratic formula let g(x) = 4x² - 2x - 3. Find x such that g(x) = 0 - solve using the quadratic formula 3x² − 7x + 2 = 0 - solve (x + 1)² = -9 - solve Let f(t) = (t + 4)². Find t such that f(t) = 13 - solve Let f(x) = 7/x + 7/x+4. Find all x for which f(x) = 1 - solve the equations for all solutions x⁴ - 8x² ...

College Algebra, Chapter 3; Exam Study Guide Questions and Answers 2023 Quadratic Functions in standard form; f(x)=a(x-h)^2+k The following terms will deal with quadratic functions in standard form. Always start with identifying 'a,h, and k'. Remember; "K carries the sign, H leaves it behind." H will always have the opposite sign. What does the value of 'a' do? f(x)=a(x-h)^2+k Determines whether or not the graph is flipped. If 'a' is positive, the parabola is fl...

MATH PLACEMENT TEST VOCAB WITH COMPLETE SOLUTIONS 100% 2023/2024 Irrational numbers A nonrepeating, nonterminating decimal. It cannot be written as a fraction. Pi is an example. Square root of 17 is an example. Rational number Any number that can be written as a fraction. Terminates or repeats. An example is 1/3. Whole numbers whole numbers start at 0 and only go up. Negative numbers are not in the set of whole numbers. Natural numbers Start at 1 and go up. No 0s, and no nega...

Multiplication Identify Property correct answers The product of 1 and any number is that number Closure Property of Multiplication correct answers Any two rational numbers' product will be a rational number EX: (3/2) X (2/9) = 1/3 Multiplicative Property of Reciprocals correct answers You multiply a number by its reciprocal, the product will be 1 Associative Property of Multiplication correct answers The product of three or more numbers remains the same regardless of how the numbers...

ILTS 305 Terms Questions with Correct Answers Multiplication Identify Property - Answer-The product of 1 and any number is that number Closure Property of Multiplication - Answer-Any two rational numbers' product will be a rational number EX: (3/2) X (2/9) = 1/3 Multiplicative Property of Reciprocals - Answer-You multiply a number by its reciprocal, the product will be 1 Associative Property of Multiplication - Answer-The product of three or more numbers remains the same regardles...

Jacobian How to use the chain rule? When you have a composition of functions (dw/ds, dw/dt)= (df/du, df/dv)(du/ds, dv/ds, du/dt, dv/dt) so it gives a vector Classify critical points 1. differentiate WRT each variable x and y. 2. set them equal to 0. then solve for the values (often take the equation that is easy to factorize and take its values. 3. replace the values obtained in the other partial equation set equal to 0 to get the points ***trick: you can add the equations some...