96. Points C and D are on a number line (not shown). The coordinate of point...
Question 1 (1 point) A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB- 6, BD- 23, and AB -CD, find the length of segment BC. 17 23 29 Not enough information to solve the problem
(1 point) The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. = So the distance from P (-4,-5, -4) to the line through the points A = (1, -2, 3) and B = (-3, 2, -3) is | (1 point) The distance d of a point P to the line through points A and B is...
010 10.0 points A weight (with a mass of 26 kg) is suspended from a point near the right-hand end of a uni- form boom with a mass of 25 kg. To support the uniform boom a cable runs from this same point to a wall (the left-hand vertical coordi- nate in the figure) and by a pivot on the same wall at an elevation of 6 m 10 9 8 25 kg 6 4 2 26 kg 012 3...
A line is in the x y coordinate plane. The line is labeled g(x). The line enters the viewing window in the second quadrant, goes down and to the right. As it travels, the line passes through the following points. (−5, 10) (−3, 4) (−5/3, 0) (−1, −2) (−2/3, −3) (0, −5) (2/3, −7) (1, −8) (5/3, −10) The line exits the window in the fourth quadrant. (a) Estimate g(1). g(1) = (b) Estimate g(−3). g(−3) = (c) Estimate x...
In Figure P3.46, the line segment represents a path from the point with position vector 15 i^ + 3 j^ 2 m to the point with location (16 i^ + 12 j^) m. Point is along this path, a fraction f of the way to the destination. (a) Find the position vector of point in terms of f. (b) Evaluate the expression from part (a) for f = 0. (c) Explain whether the result in part (b) is reasonable. (d)...
5. On the following grid, AB is shown with along with point C. Draw two lines on this grid that pass through C, one of which is parallel to AB and one that is perpendicular to AB. Give the or one pont, ouier ulan coorainaies C, ua Ics on ca Point that lies on parallel line: Point that lies on perpendicular line: REASONING 6. Are the lines AB and CD perpendicular if the points defining the lines have coordinates of...
be a coordinate function for 1.) (Coordinate functions) Let f: R a (a) (Exercise 3A) Prove that -f is a coordinate function as well. (5 (b) For which real numbers a, b e R is a f+b a coordinate function? (c) Let g:E → R be a coordinate function. Prove that there exists a line ( points) Justify your answer with a proof. (10 points) real number b E R, such that g-f+b or gf+b. (10 points)
4- For the truss shown below a-The truss shown is externally (circle correct answer) (2 point) a) determinate and unstable b) indeterminate and stable c) determinate and stable d) indeterminate and unstable Reason: (3 point) b- The truss shown is internally (circle correct answer) (2 point) a) determinate and unstable b) indeterminate and stable c) determinate and stable d) indeterminate and unstable Reason: (3 point) c-Place an "O" on members with zero force on the truss (5 points) d-Solve for...
Two points, A and B, are terminal ends of a line-segment (place horizontally). Point X is above the line a distance 23- cm away from point A (nearer to A than B). Point Z is above the line a distance 12-cm away from point B (nearer to B than A). The point T is below the line. As such, there are line segments XT and ZT each of which crosses the line segment AB. The distance from point X to...
3. What point on the line y = 7 - 3x is closest to the origin? a. Sketch the line carefully and mark the point on the line that you think is closest to the origin. b. Write the distance between the origin and a point (x,y) in the plane. If you don't know, think of a triangle with base x and height y. 8 7 6 c. The point must be on the line, so you can write the...