Find the distance from point a to xz. round to nearest 10th!

The AZ is perpendicular line from A to line XZ, the perpendicular distance is 4.1 units. The reason for the answer is below.

Step-by-step explanation:

Given:

A(3,3)

X(-4,-3)

Z(4,-1)

Y(2,-1.5)

To find:

The (perpendicular) distance from point A to side XZ.T

The perpendicular distance is the distance from A to Z. Let's use the distance formula.

Distance between two points (x1,y1) and (x2,y2) is

Now, for A(3,3) and Z(4,-1)

Distance =

Simplify it,

            =

            =

            =

            ≈4.1 units

The distance from point A to side XZ is 4.1 units.

You can learn more:

link.

Step-by-step explanation:

You want to find the length of AZ.

Create a new point W at (3, -1).

Then we can make a new right triangle AWZ in which AZ is the hypotenuse.

We can apply Pythagoras' Theorem.

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

i will pick c put check it over to be sure

step-by-step explanation: