Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of Example 4.

Q: Triangle ABC has points at A(2, 0), B(-1, 3), and C(4, 5). After undergoing a transformation, its…

A:

Q: Which of the points P(1, -2) or Q(8, 9) is closer to the point A(5, 3)?

A: The two two points on cartesian scale is P(1,-2) and Q(8,9) The fixed point from distance is to…

Q: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Find the mid point for A( 1 , 2 ) B( 7, 8 )

A: Mid-point for the given points is- a=x1+x22,b=y1+y22 where a & b are the mid-points, and,…

Q: Evaulate ∫C▒1/sinzdz , Where C is the rectangle with vertices at -1-i, 8-i,8+i and -1+i oriented…

A: Consider the provided question, The given rectangle with vertices is drawn as,

Q: A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes…

A:

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is…

Q: D, E, F

A:

Q: What is the dual of the phrase “three collinear points and a fourth point not on the line of the…

A: Answer :  Dual of any phrase can be find by replacing the conjunction connective with disjunction…

Q: Find z,(-1,2) if z=In(5x°y²+2y*). Answer:

A: We can find the answer as below.

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: What are the coordinates of the point on the directed line segment from (-9, –1) to (-9, –10) that…

A:

Q: 1.) Line D has the equation y = -2/5x + 3 and line G has the equation y = -2/5x + 1. Lines D and G…

A: To find the relation of the given pair of lines.  The relation between them can be found using their…

Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

A:

Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

A: