For Exercise, plot the points on a rectangular coordinate system. (5 7 A(-3, -4) B C(-1.2, 3.8) D(T, -5) E(0, 4.5) F(V5, 0)

Q: Evaluate the following line integral.

A:

Q: Find the distance between the points (i) P(-6,7) and Q(-1,-5) (ii)R(a+b,a-b) and S(a-b,a-b)

A: Use distance  formula

Q: y = x x², x = 0, x = 2, y = 0, about the ï — axis is 27 units³

A: We have to solve given problems:

Q: F. (4x + 13)5 +10) G. (12x H. +7)° For the Parallelogram above, find the value of y.

A: We have to find the angle of y

Q: Q3: a\ A triangle whose vertices are A = (-1,0), B = (2, 1), and C = (1, -2), find:

A: Solution

Q: What point is symmetric with respect to the y-axis to the point (;) V3 (pp. 12–14)

A: Given point is : 12,32

Q: 4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

A: We can find the coordinate of the image of B as below.

Q: M(2,7) is the midpoint of the interval joining A(3,1) and B(x, y). Find the coordinates of B. B =

A:

Q: Q: Find the angle between the following straight lines. y = 4 - 2x, y = 3x + 7.

A: Using the formula tan(x)=(m2-m1)/(1+m1m2)

Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

A:

Q: Which of the following coordinates exists on the line y = 3x+ 1? А. (2, 6) В. (-1, -2) С. (3,4) D.…

A: Solution is B) (-1,-2)

Q: Lines e and m are intersected by transversal t. e || m. 1/3 2/4 5/7 6/8 If m23 = 78°, what is ma6?…

A: We can use concept of angle in order to solve the given problem.

Q: a. Find the Cartesian equation of the plan that contains the line r = (2, 3, 2) +t (1, 1, 4), t ER…

A:

Q: Find the distance d between the point M(5, 2, 4) and the line x- 8 y -2 Z-2 %D -8 -9 7.

A:

Q: Find the coordinates of any point p1, p2, p3 - p4 symmetrically y = ax + b

A: We have to find images of every point p1,p2,p3 and p4 about a line y=ax +b Let us suppose, p1(x1 ,…

Q: Find the points on the line nhere the ta x(t)%3D t3 - 3t +2, Y (t) =3-3t?+2

A:

Q: L (x, y) = 12 :45 10

A: The given contour diagram is:

Q: The figure below is a parallelogram. D E F Giyen that DG = 2x +2 and GF = x + 8, DF

A: DG=2x+2  GF=x+8 as we know that the diagonals of the parallelogram bisect each other . so DG=GF

Q: Find the point symmetric to about the x-axis. 5 л 117 b) O 5 2т c) O 5 57 d) O2' 6 27 3

A: Here, we need to find the point symmetric to 52,π6 about the x-axis.

Q: Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment…

A: We need to determine the methods that could be used while calculating the y-coordinate of the line…

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: (c) Find the slope of the curve x?y + xy? = 6 at the point (2, 1).

A: Slope of a curve is given as dy/dx. Pount given is (2,1)

Q: E 3 D If DF is a Perpendicular Bisector, then line segment must equal 5 units.

A: Given ,  If DF is a Perpendicular Bisector , then line segment ...... must equal 5 units

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

A:

Q: Y = , cx. y) = (9,5) X-8 会? Jengent line -? at (9,5)

A: Explanation of the answer is as follows

Q: faind the distance from the point A(2,4,3) to the plan determined by the three points B(1,4,2) ,…

A: Perpendicular Distance of a point from a plane

Q: Using the diagram, find the value of x that makes r parallel to s. A m-30 and m7- (2x +10)" B.…

A:

Q: 6. Plot the points on the coordinate plane 3 4 5. y 20 15 35 30 40 50 55 50

A: To find: (6). Plot the points on the coordinate plane. (7). Write the equation of the line of best…

Q: IV. Complete the table and then plot the points on the x-y plane. 1. f) 2. m(x) -

A:

Q: Find a best straight line y = cx+d that best fits three points (1, 1), (–-1,2), (-2, 1). %3D

A: We have the equation of given straight line as y=cx+d            ⋯⋯1 If the points 1,1,-1,2 and -2,1…

Q: Wally modeled a window with FGHJ. For what values of x and y is FGHJ a parallelogram? F= (4y + 7)…

A: Solution:-   Given:-F=4y+7G=8x-15J=6x+7H=5y-18The opposite sides of a parallelogramare congruent .…

Q: Mis the midpoint of AB. If A (4, 0) and M (2, 1.5), then find the coordinates of B. (0, 3) (3, 0.75)…

A:

Q: f 16. у 3 6 — 2х — х7, у %3D х + 6 (а) the x-axis - - (b) the line y = 3

A:

Q: Find the coordinates of the points shown.

A: In the rectangular coordinates system, suppose the coordinates of point A are (a, b) which…

Q: y = Vx, y = 0, and x = 81 is revolved about the line y = 9.

A:

Q: Find the value of y such that the points are collinear. (1, -2), (-5, y), (-2, –5) y = %D

A:

Q: find the distance between two given points 3. E(7,5) F(-5,0)

A:

Q: f(x) = 7x e Find the equetion cf 10,2) %3D tengont line

A: solution:-f(x)=7xx+1f'(x)=x+1ddx7x-7xddxx+1x+12      =x+17xln7-7xx+12      =x+1ln(7)-17xx+12

Q: Find the point of intersection of the lines of equations x = - 2y = 3z and x = - 5 - t, y = - 1 + t,…

A:

Q: about the line, x- | (E'1) puo (!!)'(0) squiad %3D V= T RG) 3-X y= 2x+1 Idy 3 - 23. x- V= T 29 12

A:

Q: y 5- 4. 3. A• 2- •B -3 -1 -2. -3 •C -4- E• -5. •D What is the distance between points B & C? 2. t.…

A: We have to find the distance between points B and C.

Q: What is the equation of the line containing the perpendicular bisector of AB? B(a,a) O A(0,0) The…

A: Given,  A line segment AB  with A0, 0  and  Ba, a  We have to find the equation of the perpendicular…

Q: elimie a or Given P(2, 5), what are the coordinates of D5(P)?

A:

Q: %3D D 3.Write the image points for r (180",0) (ABCD) = AIBICIDI. A'( B' (

A: Rule: When we rotate a figure through180 degrees about the origin either in the clockwise or…

Q: Plot the points with the given coordinates. Be sure to label each. a. (2,30°) b. (3,210°) c.…

A: All points are plotted.

Q: Q 十||+ -5 -4 -3 -2 -1 0 1 2 3 4 5 Which equation shows the distance between points Q and P? P.

A: Distance between Q and p