What is the answer for -3(1+6r)=14r

r = (-3)/32

Step-by-step explanation:

Solve for r:

-3 (6 r + 1) = 14 r

Expand out terms of the left hand side:

-18 r - 3 = 14 r

Subtract 14 r from both sides:

(-18 r - 14 r) - 3 = 14 r - 14 r

-18 r - 14 r = -32 r:

-32 r - 3 = 14 r - 14 r

14 r - 14 r = 0:

-32 r - 3 = 0

Add 3 to both sides:

(3 - 3) - 32 r = 3

3 - 3 = 0:

-32 r = 3

Divide both sides of -32 r = 3 by -32:

(-32 r)/(-32) = 3/(-32)

(-32)/(-32) = 1:

r = 3/(-32)

Multiply numerator and denominator of 3/(-32) by -1:

 r = (-3)/32

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .