In Exercises 43-44, write the system of linear equations for which Cramer's rule yields the given determinants. 2 -4| 43. D = 3 8. -4 -10 5 2 44. D = 5 8 6. 11 6

Q: For a circle, the __________  is the distance from the center to anypoint on the circle.

A:

Q: Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exa...

A: (a) Let t=9π4. That implies, sint=sin9π4=sinπ4=12cost=cos9π4=cosπ4=12tant=tan9π4=tanπ4=1csct=csc9π4=...

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Compare the equation to the general form of the given periodic function which is given by y=Asin (Bx...

Q: Algebra Question

A: We have to find the angle of y

Q: change each radical to simplest radical form. (6√5)/(5√12)

A: An expression containing square root term in it is called a radical expression . The term inside the...

Q: Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standa...

A:

Q: Investment At the end of t years, the future value of aninvestment of $30,000 at 9%, compounded annu...

A: S=300001+0.09t

Q: A circle of radius r is inscribed in a square. See the figure. (a) Express the area A of the square ...

A:

Q: In the problem we use the distance formula. Show that the triangle with vertices A(0,2), B(-3,-1), a...

A: We have to show that the triangle with vertices A(0,2), B(-3,-1), and C(-4,3) is isosceles.    

Q: simplify and express the final result using positive exponents. (4a-2/3b-2)-2

A: We have to simplify the expression: 4a-23b-2-2 We know the exponents rule, abm=ambmamn=am×na-m=1am

Q: Let f(x) = V9 + x. Find f(3V5) ·f(-3V5)

A: Given: fx=9+x

Q: Solve the inequality. 6(x2 - 1) >  5x

A: Given inequality is: 6x2-1>5x We have to solve this inequality for x.

Q: Evaluate using the change of base formula (without a calculator).

A: To evaluate: log516log54 Solution: We know, log base change formula is given by: logb(a)=logxalogxb ...

Q: Perhaps the most intuitive way to compare how fast different populations are growing is to calculate...

A: To find the time to grow the population to double

Q: 9. Which of the following choices is the equation of the quadratic function whose zeros are 8 and 6....

A: 9. It is given that the zeroes of the quadratic equation are 8 and 6. If α and β are the zeroes of a...

Q: On my birthday, my friends invite me to Six Flags in New Jersey and give me $200 to ride the Kingda ...

A: Since the cost of the one ride is $15. Therefore, the cost of the x rides will be the product of 15 ...

Q: Consider any eight points such that no three are collinear.How many lines are determined?

A:     Given :                         There are 8 points    To find :                      To determin...

Q: Find the Lim(4 ズ→ス ズ-2

A:

Q: Describe the determinants D, Dx, and D, in terms of the coefficients and constants in a system of tw...

A: Consider the system of two equations in two variables as follows: a1x+b1y=c1a2x+b2y=c2 By using Cram...

Q: Solve the linearization problem. Use excel if necessary.

A: Solution:-

Q: Find distance

A:

Q: Suppose a scientist were to drop a cannonball| from the Leaning Tower of Pisa from a height of 180 f...

A: Equation of Motion.

Q: The negative multiplication property of inequality states that if a < b and c is negative, then ac

A: The property actually  states the influence of the multiplication of a negative number c to a inequa...

Q: Prove that the multiplication is a binary operation on Q.

A: Let x &amp; y be any two rational numbers.

Q: Find distance

A:

Q: Solve

A:

Q: You promised your parents that you would wash the family car. You have not started the job and they ...

A: We are given the following information:The brother sister duo has 20 minutes to finish the task.The ...

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: The general equation of a cosine function is of the form; y=Acos (bx+c) Where A is the magnitude of ...

Q: 14. John wants to make a backyard vegetable garden and build a fence around it. What are the dimensi...

A: (14) Solution: Consider John having dimensions like length = a meter and breadth = b meter then By t...

Q: 4 5 A = 1 3 В - 1 3 similar not similar

A:

Q: Sketch the graph of the equation.

A: y=x cosx

Q: The equation of the line q is y = -9/4x+1. Line r is parallel to line q and passes through (2,-3). W...

A:

Q: Describe how to write the equation of a line if its slope and a point along the line are known.

A: If we have the slope and one point along the line;

Q: Sketch the graph of f

A: To sketchf(x)=ln|x-1|

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the...

A: The given inequality, -1 &lt; 2x+5 ≤ 3, is a two-sided inequality, so this inequality can be written...

Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and degree...

A: -1, 0, 3+i

Q: An Internet service provider requires its customers to select a password consisting of fourletters f...

A: An Internet service provider requires its customers to select a password consisting of fourletters f...

Q: Suppose five cards are drawn from a deck. Find the probability of obtaining the indicated cards.A ro...

A: Since, all the five cards must be of same color. So taking the favorable conditions from half of the...

Q: Use Cramer's rule to solve the system: S5x + 4y = 12 ( 3х - бу — 24.

A: To use Cramer's rule to solve the system:5x+4y=123x-6y=24

Q: express each of the following as a single fraction involving positive exponents only. x-1 + x-5

A: To simplify: x-1+x-5. Solution: x-1+x-5 On simplifying further we get: x-1+x-5=1x+1x5   (using,a-n=1...

Q: 5 A = 1 [3 5 B = 1 1 3 similar O not similar

A:

Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point -1...

Q: Explain how the center and radius of a circle can be used to graph the circle.

A: SolutionTo Explain how the center and radius of a circle can be used to graph the circle.

Q: add or subtract as indicated. (2/3 - (1/5)i) + (3/5 - (3/4)i)

A: Given: 23-15i+35-34i

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. During ...

A: The distance is equal to the speed times the time taken. So, to calculate the distance of the run fi...

Q: 7. What might be an easy way to use base 10 blocks to illustrate multiplying a number by 10?

A: Let their are 10 blocks. each block contains 2 balls.   So total number of balls is  2+2+2+2+2+2+2+2...

Q: evaluate each of the following. For example, √25 = 5. ∛83

A: We have to find: 833

Q: Solve

A: Solution-

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.5, 25, 125, 625....

A: First calculate the common ratio of the series by dividing the next term by the previous term : r=an...