2 consecutive odd integers : x and x + 2
x(x + 2) = 27 + 6(x + x + 2)
x^2 + 2x = 27 + 6(2x + 2)
x^2 + 2x = 27 + 12x + 12
x^2 + 2x - 12x - 12 - 27 = 0
x^2 -10x - 39 = 0
(x + 3)(x - 13) = 0
x + 3 = 0
x = -3 (extraneous solution)
x - 13 = 0
x = 13
x + 2 = 15
so ur 2 integers are 13 and 15, with 15 being the largest
Answer:
4x^2 -12x +9 ft^2
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
A = (2x-3) ^2
A = (2x-3) (2x-3)
FOIL
first 2x*2x =4x^2
outer 2x (-3) = -6x
inner -3*2x = -6x
last -3*-3 = 9
Add them together
4x^2 -6x-6x +9
Combine like terms
4x^2 -12x +9
The area is 4x^2 -12x +9 ft^2
Answer:
Step-by-step explanation:
6). Equation of the line has been given as,
4x + 9y = -9
By converting this equation into y-intercept form,
9y = -4x - 9
By comparing this equation with y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the equation (m) =
y-intercept (b) = -1
8). Equation of the line is,
5x + 3y = 12
3y = -5x + 12
Slope of the line =
y-intercept = 4
Answer: 1.) 57342
Tens = 57340
Hundreds = 57300
2.) 76564
Tens = 76560
Hundreds = 765600
3.) 95634
Tens = 95630
Hundreds = 95600
4.) 85756
Tens = 85760
Hundreds = 85800
5.) 63526
Tens = 63530
Hundreds = 63500
Step-by-step explanation: