Problem 4. If lines and m admit a common perpendicular, then this common perpendicular is unique...
Prove in Hyperbolic Geometry: If two parallel lines admit a common perpendicular, that perpendicular is unique. T
I have first part of question good. Need to prove unique modulo and do not know where to start. Prove that the congruences x-a mod n and x b mod m admit a simultaneous solution if and only if (n, m) | (a -b). Moreover, if a solution exists, then the solution is unique modulo [m, n). Prove that the congruences x-a mod n and x b mod m admit a simultaneous solution if and only if (n, m) |...
Are the following lines parallel, perpendicular, or neither? L1 with equation x 4y = 12 L2 with equation 4x + y = 4
prove the following 1) 2) 3) 4)A parallelogram is a square iff it's diagonals are perpendicular and congruent. 5) the median of a trapeziod is parallel to each base 3.7) Corollary (Parallel CT). Let l, and l be coplanar lines and I a transversal. a. (Property C) 4 | l, if and only if a pair of interior angles on the same side of t are supplementary b. (Property T) Ift 1 l and 41 || 12, then t 1...
O LINES AND FUNCTIONS Identifying parallel and perpendicular lines from equations The equations of three lines are given below. 2 Line 1: y -x+6 Line 2: 3y 2x+7 Line 3: 4x-6y-4 For each pair of lines, determine whether they are parallel, perpendicular. Line 1 and Line 2: O Parallel O Perpendicular O Neither Line 1 and Line 3: O ParallelPerpendicular Neither Line 2 and Line 3: O Parallel ○ Perpendicular Neither Explanation Type here to s rch oward Cr。 mal...
Which of the following lines is NOT perpendicular to yx+4? Select one: a. 4y- 8x- 24 c. 6y-3x-30 Find the equation of th
Electron arrives in a homogeneous magnetic field perpendicular to its force lines. Electron v = 4 * 107m / s. Magnetic field Induction 1 mT. How much is the tangential and normal acceleration of the electron?
Write an equation for the following lines. Through (-3, 7) perpendicular to 2x + 3y =1 Through (1,1) perpendicular to x = 7 Through (-3, 7) perpendicular to the line through (2,3) and (4, 7)
Problem 3 More questions about straight lines. .1. Find the equation of the line passing through the points (1,4) and (5,2). Give your answer in point-slope form, y - y₁ = m(x-x₁). 2. Write the equation of this line in slope-intercept form 3. Sketch the line on the axes provided. 4. What is the slope of any line that is perpendicular to the line above?
Writing equations of lines parallel and perpendicular to a given... Consider the line y=-6x+5. Find the equation of the line that is parallel to this line and passes through the point (8, -4). Find the equation of the line that is perpendicular to this line and passes through the point (8, -4). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: e X Equation of perpendicular line: 1 ? Explanation Check 20:20...