JK = 4x + 8,
KL= 5x + 6, and
JL = 86,
Find KL.

Kl is equal to 46

Step-by-step explanation:

So the lines JK and KL are equal to the line KL. So in order to find the value of x you would have to make an equation and the equation is 4x + 5x + 6 + 8 = 86. You then combine like terms to make the new equation of 9x + 14 = 86. Then you want to get the x value and the other value alone on each side. To do that you subtract each side by 14 and then you get 9x = 72. Finally you divide each side by 9 to get x = 8. then you plug in 8 to the value of KL. It would be 5(8) + 6 = ? 5 x 8 is 40 + 6 = 46. BOOM

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

b.my answer is b.

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