| 4x +2|=10 confirm your solution using a graph or table
2 answers:
Answer:
x = -3 or +2
Step-by-step explanation:
Such an equation resolves into two equations. The argument of the absolute value function can be either positive or negative, so there is one equation for each case.
<u>4x +2 = 10</u>
4x = 8 . . . . subtract 2
x = 2 . . . . . divide by 4
<u>4x +2 = -10</u>
4x = -12 . . . subtract 2
x = -3 . . . . . divide by 4
The two solutions are x=-3 and x=2.
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length = 3234 m and width = 1614 m
let the width = w then length = 2w + 6
Perimeter = 2 ( length + width )
= 2 (2w + 6 + w ) = 2 ( 3w + 6 ) = 6w + 12
given perimeter = 9696 the equating gives
6w + 12 = 9696
subtract 12 from both sides
6w = 9696 - 12 = 9684
divide both sides by 6
w = = 1614
width = 1614 m and length = (2 × 1614 ) + 6 = 3234 m