21,200 Answered Questions for the topic algebra 2

05/05/24

Quadrilateral with given vertices

If ABCD is a quadrilateral with vertices A(-3,0), B(-1,-3), C(2,-1) and D(0,2),i) How can I determine if the coordinates of M is the midpoint of AC,ii) How can I show that AC and BD bisect each... more

05/05/24

Triangle in the x-y plane with given vertices

Suppose a triangle in the x-y plane has vertices (-1,0), (1,0) and (0,2), how can I find tthe equations of the three lines that lie along the sides of the triangle in y = mx + b form?
Algebra 2 Math Algebra 1

04/26/24

How to find the equation of the normal line to a curve at a given point

How can I find the equation of the normal to the curve y=(5x2)/(1+x2) at the point (2,4)?
Algebra 2 Algebra 1

04/21/24

Find the logarithm using the​ change-of-base formula. log820

Find the logarithm using the​ change-of-base formula.log8820
Algebra 2

04/20/24

Conics Word Problem

The distance of Negoiu from its star, XO-1, ranges from 566 million mi to 906 million mi. Find the equation of its elliptical orbit where the star is one of the foci. Assume that the center is... more
Algebra 2 Math Algebra 1

04/20/24

Solving Comibinations and permuations

In the attached image:https://ibb.co/9YtwcZ6a) How would I evaluate in the given combinationb) How will I solve for n in the given permutation
Algebra 2 Math Algebra 1

04/20/24

Finding values in an expansion of the ascending powers of x

If the first three terms in ascending powers of x, in the expansion of (1+(a/x))^n are 1 + 24/x + 252/(x^2), how can I find the values of a and n?
Algebra 2 Math Algebra 1

04/20/24

Evaluation of a decimal number raised to a power

How can I evaluate (1.01)5 to 5 decimal places without using a calculator?
Algebra 2 Math Algebra 1

04/20/24

Finding dy/dx of given functions

How do I find dy/dx of the following functions, without simplifying the answers:a) y = (ex + (1/x))ln(x2-e2x)b) y = ((x3/5)+(x1/2))/x
Algebra 2 Math Algebra 1

04/20/24

Solving of Trigonometric Ratio using a Pythagorean Identity

If csc θ = 5/3 , how can I find the remaining trigonometric ratio using a Pythagorean Identity?
Algebra 2 Math Algebra 1

04/20/24

Solving of composite function

Suppose f(x) = 3/(x-4) and h(x) = (x2/3)-1 , how can I evaluate (h◦f)(-3)?
Algebra 2

04/19/24

algebra applications

Yamil purchased a copy machine for $2100 and a one-year maintenance protection plan that costs 2 cents per copy made. If he spends a total of $2462 in a year, which includes the cost of the machine... more
Algebra 2 Math Business Algebra 1

04/18/24

Please help I'm so stuck

Express the revenue as a function of the price p. Graph the revenue function. Make sure to label the x - and the y-axis with the appropriate units. After analyzing the data from a survey, you... more
Algebra 2

04/15/24

Quiz Rational Exponents

Ise the compound interest formulas A = Pスメ!)?andA =Pe" to solve the problem given. Round answers to the nearest cent.Find the accumulated value of an investment of $25,000 for 4 years at an... more

04/14/24

Linear Algebra Differential Equations

Consider the following differential systemy′1 = y1 − 3y2 + 4y3 − 5y4 + y5y′2 = −y1 + 2y2 + y4y′3 = y2 + y3 + y4 − y5y′4 = y1 − 4y2 + 4y3 − 3y4 − y5y'5 = −3y2 + 4y3 − 5y4 +... more

04/14/24

Linear Algebra Diagonalization & Probability

There are 3 telecommunication service providers in a certain country, namely telco A,B, and C. Every year,• about 4% of the subscribers of telco A will change to telco B, and 4% of subscribersof... more

04/14/24

Linear Algebra Orthonormal Sets

Let a1 = (0 1 -1 0 1), a2 = (-1 0 1 -1 1), a3 = (1 1 1 1 0), a4 = (1 1 1 -1 0)(a) Find an orthonormal set {q1, q2, q3, q4} such that span{a1,...,ai} = span{q1,...,qi} for i = 1, 2, 3, 4. Give exact... more
Algebra 2 Math Algebra 1

04/14/24

Simplification of unity cube root

If given that ω is a cube root of unity and using the properties ω, how can I simplify (1 + 2ω + 3ω2)(3 + 2ω + ω2)?

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