We have been given that a rectangular auditorium seats 1702 people. Also, the number of seats in each row exceeds the number of rows by 9.
Let us assume that there are x rows in the auditorium. Therefore, there must be (x+9) seats in the each row. This will also be equal to the number of columns in the auditorium.
Therefore, we can set up an equation as:
We can now factor this quadratic as shown below:
Upon solving this equation, we get:
Since number of rows cannot be negative. Therefore, there must be 37 rows in the auditorium. And hence, the number of seats in each row will be 37+9=46 seats.
Combine like terms:
-5d+5e or 5e-5d
If you want, you can factor out the common 5:
5(e-d) is your answer
The next larger ten is . . . . . . 50 .
The next smaller ten is . . . . . . 40 .
. . . . . . 49 is closer to . . . . . . 50 than it is to . . . . . . 40 .
So the nearest ten is . . . . . . 50 .
Answer:
s = 17 units
Step-by-step explanation:
In triangle ABD,
(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)
=> 8² + 15² = s²
=> 64 + 225 = s²
=> s = 
=> s = 17 units
Hope it helps :)
Please mark my answer as the brainliest
X^2 + 5x = -2
x^2 + 5x + 2 = 0
x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2
x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2
answer is : negative 5 plus or minus the square root of 17 divided by 2
