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)

answer: true

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|