Answer:
x = 15 or x = - 
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -
Answer:
<h2>4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U</h2>
Step-by-step explanation:
In this proble, we defined:
- D represents tens.
- C represents hundreds.
- M represents millions.
- U is units.
So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.
4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U
In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.
The answer should be obtuse. I'm not sure why it is saying it's incorrect but none of the other answers make sense.
The area of square is 
square units
<h3><u>Solution:</u></h3>
Given that square has side length (x+5) units
To find: area of square
<em><u>The area of square is given as:</u></em>
Where "a" is the length of side
From question, length of each side "a" = x + 5 units
Substituting the value in above formula,
Thus the area of square is square units
