Answer:
w = 2
Step-by-step explanation:
Distribute the expression and compare like terms with the simplified version.
Given
wx(3y² + 6y - 2) ← distribute parenthesis
= 3wxy² + 6wxy - 2wx
Compare coefficients of like terms with
6xy² + 12xy - 4x
Compare xy² term, then
3w = 6 ( divide both sides by 3 )
w = 2
Compare xy term, then
6w = 12 ( divide both sides by 6 )
w = 2
Compare x term, then
- 2w = - 4 ( divide both sides by - 2 )
w = 2
Hence the required value of w is 2
Answer:
4(x-2)(x+1)=0
Step-by-step explanation:
So the distance between subway stop and house is 19 units
Step-by-step explanation:
The distance formula will be used to calculate the distance between home and subway.

Here (x1,y1) are the coordinates of first point
and
(x2,y2) are the coordinates of second point
Given
(x1,y1) = (7, -6)
(x2,y2) = (-9,5)
Putting the values in the formula

Rounding off to nearest unit gives us 19.
So the distance between subway stop and house is 19 units
Keywords: Distance, distance formula
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Answer:
r = 7
Step-by-step explanation:
Given
r + 15 = 4r - 6 ( subtract 4r from both sides )
- 3r + 15 = - 6 ( subtract 15 from both sides )
- 3r = - 21 ( divide both sides by - 3 )
r = 7