Jayda's house is tocated at (1, 5), she can walk in a straight line to get to cristian's house a fast-food restaurant is located at (11,0) and partitions the way from jayda's house to cristian's house by a ratio of 5: 1 find the coordinate of cristian's house
a. (9, 4)
b. (5, 3)
c. (9, 1)
d. (13, -1)

The correct answer is option D.  (13, -1)

Step-by-step explanation:

points to remember

Let (x1, y1) and (x2, y2) be the points and P (x, y) be the points in which its divide the line segment in the ratio p : q,the coordinates of P is given by,

x = x1 + p/(w)(x2 - x1)

y = y1 + p/w(y2 - y1)

Where w = p + q

To find the coordinate of Cristian's house

Here, (x1, y1) = (1, 5) , (x, y) = 11, 0)

and (x2, y2) = ?

p : q = 5 : 1 then w = 5 + 1 = 6

x = x1 + p/(w)(x2 - x1)

11 = 1 + (5/6)(x2 - 1)

10 = (5/6)(x2 - 1)

12 = x2 - 1

x2 = 13

y = y1 + p/w(y2 - y1)

0 = 5 + 5/6(y2 - 5)

-5 = (5/6)(y2 - 5)

-6 = y2 - 5

y2 = -1

Therefore  the coordinate of Cristian's house is (13, -1)

The correct answer is option D.  (13, -1)

i think it is 18

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.