Find the coordinates of point z that splits the segment xy located 3/7 of the way between x(-2,1) and y(4,5).

Step-by-step explanation:

Let point Z be the point with coordinates

If point Z that splits the segment XY such that then

Since X(-2,1) and Y(4,5), then

to the risk of sounding redundant.

Check the picture below, so Z is really splitting XY in a 3:4 ratio from X to Y.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.