Tamika wants to predict the outcome of next Tuesday’s game, between the Nets and the Warriors. She believes that the Warriors will score 19 points less than the Nets. Tamika also predicts that the total amount of points scored for both teams will be 207 points.

How many points does Tamika think that the Warriors will score? How many points will the Nets score?

Step-by-step explanation:

Let x be the Warriors' score. Then from Tamika's prediction, (x + 19) is the Nets' score.

Toal score = x + (x + 19) = 2x + 19 = 207.

Therefore 2x = 188 and x = 94.

Hence Tamika thinks that the Warriors will score 94 points and the Nets will score 94 + 19 = 113 points.

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: finding the extract measurements and knowing the points

step-by-step explanation: