<u>Answer:</u>
<em><u>w = -19</u></em>
<em><u></u></em>
<u>Explanation:</u>
To solve this equation, subtract ten from both sides. This will isolate the variable (w) and allow us to find its value.
If you would like to double check that the variable (w) does in fact equal negative nineteen, substitute the value of the variable in the equation and solve.
Therefore, the value of w in the given equation is <em><u>-19.</u></em>
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
(x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5