Give the coordinates for point p in the following right trapezoid without using any new variables

0,b

Step-by-step explanation:

its like numbers pretend each variable is a number, it wouldn't change anything. I looked at P. Obviously the x-axis is going to be zero and the y-axis will be b

Answer with explanation:

→→Naming of trapezoid =O P QR=O(0,0),P(x,0),Q(a,b) and R (0,c)

Where the Coordinate of vertices of Trapezoid P =(x,0)

→Slope between two points (m,n) and (c,d) is given by

         

→Slope of segment OP,where, O(0,0),and P(x,0),using the above formula

         

Similarly, Slope of segment OR,where, O(0,0),and R(0,c),using the above formula

           

→Side OP and OR are Perpendicular to each other.

     Slope of segment OP × Slope of segment OR= -1

 

But this point lies on positive side of x axis, so the coordinate of vertices of point P should be (c,0).

There is another way of solving this problem.

Draw perpendicular from Vertex Q(a,b)on X axis.Coordinates of P will become (a,0).

Now, draw perpendicular from vertex R on side PQ.

Opposite sides of rectangle are equal.

OP=MR=a

OR=MP=c

OR ⊥ OP

Product of their slopes ,that is slope of OR and OP= -1

 

But point ,P lies on positive side of x axis.

So, coordinates of point P = (c,0)

Option B (c,0)

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

the function makes a strait line horizontally with no x intercept but a y intercept at 9.