<span>The correct answer is option B. i.e. (1,-10) two equations are y = -x^2 - 5x - 4 and y = -x^2 + 9x - 18. Now, equating both the equations we get, -x^2 - 5x - 4 = -x^2 + 9x - 18 or 14 x= 14 or x = 1. Now, y = -1 -5 -4 = -10.</span>
Answer:
Two consecutive even integers are 32 and 34.
Step-by-step explanation:
Let the two consecutive even integers are x and x+2.
ATQ,
Twice the smaller is 26 less than. 3 times the smaller
2x = 3(x-2) -26
2x = 3x-6-26
2x = 3x -32
32 = 3x-2x
x = 32
Hence, the smaller number be 32 and larger number be x+2 = 32+2 = 34.
Answer:
-4
Step-by-step explanation:
9514 1404 393
Answer:
51
Step-by-step explanation:
Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...
s(s-9) = 2142
s² -9s +4.5² = 2142 +4.5² . . . . . complete the square
(s -4.5) = √2162.25 . . . . . . . . take the positive square root
s = 4.5 +46.5 = 51 . . . . . . . add 4.5
The number of seats in each row is 51.
