Equation: 3x+9=42
3x=42-9=33
<span>Answer: x=33/3=11
Hope this helps!!
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It would be OD because it is going down by 8 each time and you can see that D goes down by 8 each time
<h3>
Answer:</h3>
(2x + 1)(x + 3)
<h3>
Step-by-step explanation:</h3>
It is probably easier to try the answer choices than to try to factor the expression yourself.
(2x + 2)(x + 1) = 2x² +4x +2
(2x + 3)(x + 1) = 2x² +5x +3
(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice
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<em>Constructed solution</em>
If you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.
... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7
Now, rewrite the x term using the sum of these numbers.
... 2x² +(1 +6)x +3
... 2x +x +6x +3 . . . . eliminate parentheses
... (2x +x) +(6x +3) . . . . group pairs of terms
... x(2x +1) +3(2x +1) . . . . factor each pair
... (x +3)(2x +1) . . . . . . matches the last selection
The length of the longer base is 41 ft.
<u><em>Explanation</em></u>
Lets assume, length of one base is 
ft.
As, another base is 19 less than five times the length of this base, so the length of another base 
The trapezoid has a height of 18 ft and area of 477 ft²
Formula for Area of trapezoid, 
, where 
= Two bases of trapezoid and 
= height of the trapezoid.
Given in the question: 
and 
We have also two bases as: 
and 
So, according to the above formula...
So, length of one base is 
and another base 
That means, the length of the longer base is 41 ft.
