Please help I am giving brainliest!

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Work Shown:

Draw a vertical line through point C. This vertical line crosses line segment ED to form point F. I've shown this point in blue. Refer to the diagram below.

Focus on the triangle CFD. This is a right triangle with the 90 degree angle at point F.

Triangle CFD has the vertical red portion equal to 12 units, since segment EB is 12 units (note how quadrilateral BCFE is a rectangle).

Segment FD is ED-BC = 17-10 = 7 units long.

Let's apply the pythagorean theorem to find the hypotenuse CD

a^2 + b^2 = c^2

(CF)^2 + (FD)^2 = (CD)^2

(12)^2 + (7)^2 = (CD)^2

144 + 49 = (CD)^2

193 = (CD)^2

(CD)^2 = 193

CD = sqrt(193)

CD = 13.8924439894499 approximately

CD = 14

When rounding to the nearest whole number, segment CD is approximately 14 units long.

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. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right