Jayda's house is located at (1, 5). she can walk in a straight line to get to cristian's house. a fast-food restaurant is located at (9, 1) and partitions the way from jayda's house to cristian's house by a ratio of 4: 1. find the coordinate of cristian's house.

Coordinates are the group of a number used to indicate the position of a point in a graph or at a scale.the coordinate of Cristian's house are (11,0)

Given-

Jayda's house is located at (1, 5).

A fast-food restaurant is located at (9, 1).

Fast-food restaurant partitions the way from Jayda's house to Cristian's house by a ratio of 4:1

Coordinates are the group of a number used to indicate the position of a point in a graph or at a scale.

Let the coordinate of jadya's be A (1,5))

Let the coordinate of Cristian's be B ()

Let the coordinate of fast food restaurant be R (9,1)

The ratio is 4:1. Thus m is 4 and n is 1.

The coordinate of the point B is,

Find the other point of Critian's house,

Thus the coordinate of Cristian's house are (11,0).

Learn more about the coordinate points here;

link

its actually (13, -1)

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

w'x is 0.

hope it