The dinosaur's ribs and arms are at the intersection of the diagonals shown in the diagram. Compute their equations! First, compute the slopes:

Slope of I: Slope of m:

slope of I: 0.5

slope of m: -0.75

Step-by-step explanation:

Compute the equations of the lines using point-slope form:

Line l:    

✔ y - 4 = 0.5(x - 1)

Line m:  

✔ y - 5 = -0.75(x - 43)

Finally, simplify to slope-intercept form:

Line l:    

✔ y = 0.5x + 3.5

Line m:  

✔ y = -0.75x + 37.25

Step-by-step explanation:

thats what i got

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

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