Question

Prove that a parallelo-gram is a rectangle if and only if its diagonals are equal in length. (This fact is often exploited by carpenters.)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Exercise 5: Some weird integral problems. Solve at least three; the remaining three are challenge on...

A: Solve the given integration

Q: х on the interval [2, 6]. 11 The rectangles in the graph below illustrate a left endpoint Riemann su...

A: The formula to calculate the Riemann Sum using left end points is given as,

Q: f(x)=X^2-4x+1  Algebraically find the algebraic expression for the difference quotient from x to x +...

A: Find f(x+h) by plugging x+h in the expression of f(x)

Q: find the component form of the vector. The vector PQ, where P = (1, 3) and Q = (2, -1)

A: Given vectors

Q: solve the following equation for X. 3*e^2x+7*e^x+2=0

A: Given,

Q: Find parametric equations and a parameter interval for the motion of a particle starting at the poin...

A: Given,

Q: Find the limit. (If an answer does not exist, enter DNE.) lim (x + Ax)2 - 9(x + Ax) + 3 - (x2 – 9x +...

A: Given:

Q: I just need #20

A: Given,

Q: 7.5 10.5 10.5 Let fou = 7, S,0" f(x)dx f(x)dx = 1, S f(x)dx 10. 9. Find , f(x)dx 7.5 and S(1f(x) – 7...

A: Given values of integral are

Q: Estimate the error if P4(x) = 1 + x + (x2/2) + (x3/6) + (x4/24) is used to estimate the value of ex ...

A: Calculate the actual value of ex at x=1/2

Q: Determine whether the following statements are true or false:  1. ln(x')=[ln x]'  2. any continuous ...

A: The given statement is,

Q: Evaluate the limit, if it esxists. (If an answer does not exist, enter DNE.). lim x°-4I+3 x>3 X-3

A: Factor the numerator.Factor 3 so that the sum of the factors is -4Factors are -3 and -1Write -4x as ...

Q: #1

A: Given differential equation and its solution is

Q: (2x + 3) + (2y − 2)y′ = 0

A: Given,

Q: Find the areas of the surfaces generated by revolving the curves in Exercises 31–34 about the indica...

A: We’ll answer the 31th question since we answer only one question at a time. Please submit a new ques...

Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: What is the eccentricity of a conic section? How can you classify conic sections by eccentricity? Ho...

A: Any conic section can be defined as the locus of points whose distances to a point (the focus) and a...

Q: Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av +bw.

A: Given u = 2i + j, v = i + j, and w = i - j.Plug them in the equation u = av +bw.

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the re...

A: Sketch the integrant as shown below.

Q: 12. Find the domain of the function: -(20/13)x + (30/13) 16. Find the domain of the function: sqrt(u...

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

Q: #9

A: Given:Initially water tank holds 300 gallons of water.Rate at which the pure water is pumped into th...

Q: 4. Recall that the set of Complex Numbers is defined as C = {z| z = a + ib, where a,b eR and i = v-1...

A: (a)

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1, 0...

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given ...

Q: Most centroid calculations for curves are done with a calculator or computer that has an integral ev...

A: Click to see the answer

Q: dy/dx of y=e^3x+1

A: Click to see the answer

Q: Find the length of the graph of the function y = ln (1 - x2), 0<= x<=1/2.

A: Given:y = ln (1 – x2)

Q: a. Show that every vertical line in the xy-plane has a polar equation of the form r = a sec u. b. Fi...

A: Calculation:

Q: In Exercises 1–3, give a geometric description of the set of points in space whose coordinates satis...

A: Given,

Q: what Taylor series would you choose to represent the function near the given value of x? (There may ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: How would you compare the relative merits of Simpson’s Rule and the Trapezoidal Rule.

A: Compare the relative merits of Simpson’s rule and the Trapezoidal rule as given below in the Table

Q: A tank contains 100 gal of fresh water. A solution containing 1 lb/ gal of soluble lawn fertilizer r...

A: Calculation:

Q: find the component form of the vector. The vector OP where O is the origin and P is the midpoint of ...

A: Given points are R = (2, -1) and S = (-4, 3).First find midpoint P by using midpoint formula as foll...

Q: 15. Previous Answers + 0/1 points TanApCalcBr10 2.1.032. Find the domain of the function. (Enter you...

A: Find the domain of the given function

Q: Find equations for the sphere whose center and radius is given in center(0,-7,0) radius 7

A: General equation of sphere is given by:

Q: What values of p have the following property: The area of the region in the first quadrant enclosed ...

A: GivenThe area of the region in the first quadrant enclosed by the curve y = x^-p, the y-axis, the li...

Q: if you have a parametric equation grapher, graph the equations over the given intervals a. x = 6 cos...

A: If instead of usual form of y = f(x), where y is dependent upon variable x, Suppose both x and y are...

Q: п What happens to x cos(nx)dx when n = 0? Justify your answer.

A: First of all, consider the given integral value and integrate.Let nx = a.Calculate dx and the limits...