Mathematics

Please help me solve this word problem

Two straight roads diverge at an angle of 65 degrees. Two cars leave the intersection at 2:00pm, one traveling at 50 mi/h and the other at 30 mi/h. How far apart are the cars at 2:30pm. the answer is

How do I show that Z[sqrt(5)] is an integral domain

Given a + b√5, c + d√5 in Z[√5] (for some integers a, b, c, d): Suppose that (a + b√5)(c + d√5) = 0. (We want to show that a + b√5 = 0 or c + d√5 = 0.) The painless way to prove this is to simply ob

Find arctan (- square root 3/3)

arctan [ (- square root 3 ) / (3) ] y = arctan [ ( - square root 3) / (3) ] tan(y) = [ (- square root 3) / (3)] y = 5pi/6, 11pi/6 ----> ANSWER Remember the unit circle in trig Quad 1 all positive

Determine a polynomial p(x) of degree 4, with zero points, 1,2,√2,-√2 for which p(-1) = 2

x = 1 means (x - 1) is a factor. x = √2 means (x - √2) is a factor. x = 2 means (x - 2) is a factor. x = -√2 means (x + √2) is a factor. a(x - 1)(x - 2)(x + √2)(x - √2) = 0 a(x^2 - 3x + 2)(x^2 - 2) =

10 PNTS EASIEST MATH Q'S EVER

ANWER ONLY THESE 2 FOR 10 POINTS 1.Cooper has the following test grades: 87,91,93,85 he has one more test and wants a 91 average what must he get on this test and how do i find out? 2. Marias average

Roman numerals apostrophic C

If C is 100 and I is 1, then how is CIƆ 1,000, for example. I dont understand how this notation works. IƆ is 500, CCIƆƆ is 10,000, CCCIƆƆƆ is 100,000, why?-Long ago, printers would use this method of

What is the average rate of change

What is the average rate of change of the function f given by f(x) = x^4 - 5x on the closed interval [0,3]? Please explain and show work, Thanks.-(f(3) - f(0)) / (3 - 0) => (3^4 - 5 * 3 - 0^4 + 5 * 0

Complex numbers/roots of quadratics question

A) Find the square roots of -3 + 4i Ive done this part, I got 1 + 2iand -1 -2i. B) Hence, or otherwise, find the two complex roots of the quadratic equation z^2 - 2(1+i)z + 3 - 2i=0-Im somewhat suspic

How would you go about answering this

Sam has an account with a department store. His daily balance for the first 12 days of April was $125.47. His daily balance for the next 5 days was $151.25. For the last 13 days it was $177.63. What w

What is halve of halve a litre

I need to know by monday so please if you know the answer tell me. Many thanks.-a quatre of a litre. 250ml-OK, in general when working with fractions: 1/a of 1/b = 1/a * 1/b = 1/(ab) some good example

What is the y-value for f(x) = cos(x) when x = 360°

What is the y-value for f(x) = cos(x) when x = 360° is it1 What is the y-value for f(x) = cos(x) when x = -90°? is it 0 What is the y-value for f(x) = tan(90°)? i dont get it ???can you show me how

Can you answer these 2 math problems? i will give 10 pts

YOU MUST SHOW WORK! 1. A banner is in the shape of a right triangle of area 63in^2The height of the banner is 4in less than twice the width of the banner.Find the height and width of the banner. 2.

Momentum and collisions question .help please

2 objects called Aand B are weighted.3KG and 2KG.A has 2m/s velocity and B has 6m/s before the collision and they collide face to face.after the collision ,object A moves to opposite direction with a

What is the degree of polynomial in this equation? 10 POINTS!!

Problem: 2x^4+x^9+5x^6+5x^5-7x^3-Degree of polynomial is the highest power in the polynomial So here it is 9-9-9-9

How do you solve a proportion

I have to solve for x. 9/x =5 _____11/15 (9 over x equals 5 over 11/15). If someone can explain in steps how to solve for X I will choose best answer so you can have ten points.-Ok, lets take it