メ 6xーメータ Find the domainand Range and Draw the points onthe coopdinat plane

Q: Sketch the points B = (-5, 0) and C= (-3, 3).

A: Given data: The first point given is B=(-5,0). The second point given is C=(-3, 3). The sketch of…

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: Given, the three points (-2, 1), (-1, 0) and (2, -2). We have to determine that whether these three…

Q: Find the coordinates of the point that is equidistant from ( — 2, 5), (8, 5),and (6, 7).

A: Given: The points A=(x1, y1)=(-2,5), B=(x2, y2)=(8,5), C=(x3, y3)=(6,7)   To find: The point P=(x,y)…

Q: Find the distance between the points. (4, 1, 5), (8, 2, 6)

A: The distance between the points. (4, 1, 5), (8, 2, 6) is:

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

A:

Q: Give an example of three planes that have a common line of intersection

A: example of three planes that have a common line of intersection

Q: Find the coordinates of the midpolnt of PQ. (Reviewp. 15 for 4.3.) 9. P(-4,7), Q(1,-5) 8. P(2,-5),…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Find a plane through the points (3,2,3), (4,-3,-3), (4,4,1)

A: The given points are: (3, 2, 3),  (4, -3, -3),  (4, 4, 1)

Q: Rectangle MNOP with vertices M(-7,1), N(-4,1), O(-4,-4), and P(-7,-4) in the line y=-x

A: Transform the given rectangle over the line y=-x.

Q: If the two endpoints of a bench measure 4/3x centimeters and 2/3x centimeters, then the midpoint is…

A: Find midpoint of two endpoint.

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A:

Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

A:

Q: What is the distance of these two points  -2,6   5,9

A: Given the co-ordinates   (−2,6) and (5,9)

Q: Find a plane through the points (4,-3,-4), (-6,2,8), (3,-8,8)

A:

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A:

Q: Find the areas of the parallelograms whose vertices are given A(0, 0, 0), B(3, 2, 4), C(5, 1, 4),…

A: Given: The vertices of parallelogram are A(0,0,0) , B(3,2,4) , C(5,1,4) and D(2,-1,0) To find: Area…

Q: determine las coordenadas cartesianas del punto. a) (1, п) b) (2, -2m/3 ) с) (-2,3п/4) 3. a) (-VZ,…

A: As per our guideline we are supposed to answer only first question of  a multiple type questions.…

Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).

A: we have to find the equation of plane that contains the point (-3,-3,-4)  and the line…

Q: Which statements about parallelograms are always true or sometimes true?

A: Six properties about parallelogram we need to remember : Opposite sides of parallelogram are…

Q: Is Span({(4,–10, 6), (-6, 15,–9)}) a line or a plane in R³? Why?

A:

Q: Find a plane through the points (2,1,-2), (5,-4,4), (6,7,-4)

A:

Q: Suppose that a box has its faces parallel to the coordinate planes and the points (4, 2,−2) and (−6,…

A:

Q: Find the distance between the points (5/2,3) and (3/2,8).

A: We have to find the distance between the points52,3 and 32,8.

Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x)…

Q: Plot the points (0, 4, −5) , (4, 0, 5)  in the same three-dimensional coordinate system. (a)

A: Given we have given two points 0,4,-5 and 4,0,5

Q: find the distance between points P1 and P2. P1(3, 4, 5), P2(2, 3, 4)

A: Given :          p13,4,5 , p22,3,4

Q: plot the given pair on a cartesian plane {(1,1),(2,4),(3,7),(4,10),(5,13)}

A: The given pair of points are  A(1,1), B(2,4), C(3,7), D(4,10), E(5,13)

Q: If Xmin = - 6, Xmax = 10, and Xscl = 2, how should Ymin, Ymax, and Yscl be selected so that the…

A: There are many ways to answer this question. One such answer is as written below.

Q: Find the distance between the points: (-1,-2), (-9,5) V113 185 145 181 202

A:

Q: Determine whether the points are collinear.(−1, 0), (1, 1), (3, 3)

A: Now slope of the line joining the points A and B is, Now slope of the line joining the points B and…

Q: A circle has center at the intersection of the two lines, 4x + y = 4 and x - y= 6.  If it passes…

A: two lines are system Ax=b is

Q: A line parallel to the x-axis could contain which point? Choose all that apply. 0(10,4) O (2,0) O…

A:

Q: Find the perimeter of the triangle whose vertices are the following specified points in the plane.…

A: We know that,The peimeter is equal to the sum of thelengths of the sides, which can becalculated by…

Q: determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) lie in the same plane.

A: We will have to check whether the points (1,3,3), (3,-1,5), (5,2,0), (3,3,4) lie on the same plane…

Q: quadrilateral

A:

Q: 6. Rectangle TUVW with verfices N-3,-1), UO,-2). M(-2,-8), and W(-5,-7): 90° counterclockwise

A: Given points T−3,−1,U0,−2,V−2,−8,and W−5,−7 Concept:when coordinatex,yrotated about 90°…

Q: Represent two planes that intersect at a line represented by 3 +2

A: There are so many pair of planes that represents the same line.

Q: Determine whether the points are collinear.(1, 2), (3, 4), (5, 6)

A: Given the points ( 1, 2 ), ( 3, 4 ), ( 5, 6 ). For the points to be collinear, area of the triangle…

Q: What is the X -intercept of the lihe that passes through points 4,-5) &(7,-8) %3D

A: First we will find the slope.

Q: Describe a method for determining whether four points P , Q , R , and S , lie in the same plane

A: We know that if some points lie on the same plane, then their slope would be same.

Q: 6. JaMarcus claims that (2,1) is the point of intersection of the lines y = 5x-3 and y=-4x+6. Is he…

A:

Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

Q: 6 3 2x + y – 5z =0 and -4|+t| -2 || నా

A:

Q: Determine whether the points are collinear.(−2, 5), (0, −1), (3, −9)

A: We have to determine the given points are collinear or not: -2,5, 0,-1, 3,-9 We know that three…

Q: Find the midpoint between the two points. 17. (1,1), (5,5) 19. (3,0), (5,-4) 21. (0,-5), (3,-2

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Q: Find a plane through the points (4,3,3), (-4,-6,3), (1,-2,7)

A:

Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other…

A: Area of the triangle is 27 and the vertices are -4, 6,  2, -6  &  2, y.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: