Start your trial now! First week only $4.99!*arrow_forward*

Question

Let T be the set of all triangles in a plane with R a relation in T given by

R = {(T_{1}, T_{2}) : T_{1 }is congruent to T_{2}}. Show that R is an equivalence relation.

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: Evaluate the determinant of the following 2 x 2 matrices. "( ) (a) (4 (b) 3 3 8 -1+ 3i\ 3 — і 4i (c)...

A: Given:

Q: You want to frame a collage of pictures with a 9-ft strip of wood. What dimensions will help you max...

A: Let us assume that the frame is rectangular and the length be x and width be y. The perimeter of the...

Q: 8..13 plify /32x°y13 to the form ayb. Submit Question

A: Simplify in the form a sqrt(b) form

Q: 3. vamables o represent each expressLon, As sume 3. 3) 3. lach excpresscon in ofB match eauerceeent ...

A: 13simplify the expression

Q: How much of a 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to ob...

A: Let x gallons of 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to...

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will trav...

A: We know that,

Q: Explain the concept of Multiplication of a matrix by a scalar. Give an example.

A: Scalar Multiplication in a Matrix:

Q: Carry out the following computations (to two decimal places if not whole number): a. 8(60) + 2/3 (9)...

A: The value of the first expression is 475.33. According to the BODMAS rule, first simplify the bracke...

Q: Find the minimal solution of x+2y-z = 1; 2x+3y+z = 2; 4x+7y-z = 4.

A: Given:

Q: Multiplying Polynomials Find Each Product: (2x-1)(3x5 -2x3 +x2 -2x+3)

A: Consider the given polynomial.

Q: Determine the center and radius of each circle and sketch the graph x^2+y^2=16

A: Given equation of circle:

Q: Brown has the same number of brothers as sisters. His sister Sylvia as twice as many brothers as sis...

A: Let x be the total number of brothers and y be the total number of sisters are in the family.Given,B...

Q: 7. Tom and Mary have invested in a joint partnership. The total value of the investment is $240 000....

A: Consider the assumptions to be made.

Q: Let V = R2 and let 2, Find the Fourier coefficients of (3, 4) relative to ß.

A: It is given that,

Q: Solve for 'x' : 9.2x-1= 2.3x

A: Click to see the answer

Q: Evaluate the determinant of each of the following matrices by expanding along the second column and ...

A: Click to see the answer

Q: How much water should be added to 16 ml of 12% alcohol solution to reduce the concentration to 8%?

A: Find the amount of water.

Q: You invested $10,000 in two accounts paying 5% and 8% annual interest, respectively. If the total in...

A: Click to see the answer

Q: I cant figure out this question.

A: The equation of annual profit of Elijah is given:

Q: A sports field is 300 feet long. Write a formula that gives the length of x sports fields in feet. T...

A: Given that the sports field is 300 feet long. Now the formula for the length of x sports field is

Q: (5x+4)(2x+5)^2+(5x+4)^2(2x+5) factor

A: Given

Q: How do you answer question 3?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x ...

A: Given:

Q: Louis is 26 years old. Her daughter is 4 years old. In how many years will Louisbe double her daught...

A: Let after x years Louis will be double her daughter’s age.After x years Louis will be (26+x) years o...

Q: (a) A matrix B in Mnxn(R) is called orthogonal if BB' = I. Prove that if B is orthogonal, then det(B...

A: Note:As per our honor code, we will solve first sub-part for you. To get remaining sub-part solved p...

Q: I need help solving this question

A: Given:

Q: X - 2y = 3 3x = 6y + 9 solve by substition

A: Click to see the answer

Q: A matrix B in Mnxn (C) is called skew-symmetric if Bt= -B. Prove that if B ϵ Mnxn (C) is skew-symmet...

A: Let B be skew-symmetric matrix of order n, where n is odd, then we have

Q: When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find the remainder.

A: Given:When the expression 12x3−13x2 −5x+7 is divided by 3x+2 find the remainder.

Q: The present ages of Deklerk and Saniya are in the ratio 3:4. Five years from now, the ratio of their...

A: Let the present age of Deklerk is 3x year and the present age of Saniya is 4x year.

Q: Let A ϵ Mnxn (F) be nonzero. For any m(1≤m≤n), an m x m submatrix of A is obtained by deleting any n...

A: Let A be a n x n nonzero matrix.

Q: 15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine o...

A: Given that, there is a total of 15 people. Three ounces of corn serves one person and a can of corn ...

Q: A 1034 foot cable weighs 283 pounds. How much will 36-incles of cable weigh? Round answer to 2 decim...

A: Given a 1034 foot cable which weighs around 283 pounds.

Q: The cost to produce a book is 1200 to get started plus 9 dollars per book.The book sells for 15 doll...

A: Let the number of books printed be N.Then the cost is

Q: Explain scalar matrix along with an example.

A: A scalar matrix is a square matrix in which all the diagonal elements are equal and all the non diag...

Q: If the measure of ZDBE is 40° and angles EBC and ABD are congruent, what is MZEBC? Do 40° MZABC= 150...

A: Given that the measure of angle DBE is 40 degree and also the angles EBC and ABD are equal. It is gi...

Q: Amma travelled 300 km by train and 200 km by taxi, it took him 5 hours 30 minutes. But if he travels...

A: Click to see the answer

Q: Assume a large vehicle holds 75 gallons of fuel and can travel 979 miles on a full tank. What is the...

A: Gas mileage per gallon: Estimate how much spending on gasoline in an average month, or estimate the ...

Q: Ikentie each esxpression a lolynomal, for each pognomia, quue te Legre and idennA aus each eupressiO...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Solve for the value of 'x': 10x — 6 = 7x + 9

A: The given equation is

Q: The sum of the first and last of four consecutive odd integers is 52. What are the four integers?

A: Given:The sum of the first and last of four consecutive odd integers is 52. What are the four intege...

Q: Evaluate the determinants of the matrices below by any legitimate method. In each case C is the fiel...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: How do you answer question 5?

A: Click to see the answer

Q: A small publishing company is planning to publish a new book. The production costs will include one-...

A: Let for x books produced the costs from the two methods will be the same.

Q: 3. Consider the line y = 6. The slope of the line is:

A: Note:For a linear function (equation of line) y = mx + c, the slope is m and the y intercept is c.He...

Q: A customer pays 50 dollars for a coffee maker after a discount of 20 dollars.What is the original pr...

A: Given that the customer pays 50dollafor a coffee maker after a discount of dollars.

Q: A wool tapestry is 32 years older than a linen tapestry. Twenty years ago, thewool tapestry was twic...

A: Given: A wool tapestry is 32 years older than a linen tapestry. Twenty years ago, thewool tapestry w...

Q: Passing through (-3,7) and perpendicular to the line with equation 2x+3y=7The answer is provided in ...

A: Given equation of line

Q: Let β ={x1,...,xn} be a subset of Fn containing n distinct vectors, and let B denote the element of ...

A: Assume that β ={x1,...,xn} is a basis for Fn.Let B denote the element of Mnxn (F) whose jth column ...