Which is a solution to (x − 2)(x + 10) = 13? x = 3 x = 8 x = 10 x = 11

[] Answer []

[] Explanation []

(X - 2) * (X + 10) = 13

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Change X into 3:

(3 - 2) * (3 + 10) = 13

Follow the order of P.E.M.D.A.S.

(3 - 2)

= 1

(3 + 10)

= 13

Plug each answer into the equation:

1 * 13 = 13

Our answer is correct, X = 3

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

answer: a

step-by-step explanation: