Jose is planning to spread fertilizer on his rectangular yard. his yard has the lenth of 40 ft and width of 25 ft. how much fertilizer does he need

1000 square feet

Step-by-step explanation:

We are given that Jose is planning to spread fertilizer on his rectangular yard which has a length of 40 ft and width of 25 ft.

We need to find out the amount of fertilizer he needs.

We know that the formula of area of rectangle is given by:

So substituting in the given values to get:

square feet

its d. the first coordintaes are 10,32

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12