Answer:
Solution: x = 135
Step-by-step explanation:
Hi there!
First, let´s write the equation:
√(x + 9) /4 = 3
Multiply by 4 both sides of the equation
√(x + 9) = 12
square both sides of the equation
x + 9 = 144
subtract 9 to both sides of the equation
x = 135
Let´s check the solution:
√(x + 9) /4 = 3
x = 135
√(135 + 9) /4 = 3
√(144) /4 = 3
12/4 = 3
3 = 3
Then, x = 135 is the solution to the equation.
Have a nice day!
Answer:
w > 7
Step-by-step explanation:
L = 3w
2L + 2w > 56
sub for L
2(3w) + 2w > 56
6w + 2w > 56
8w > 56
w > 7
Check: L = 3(8)
L = 24
2(24) + 2(8) > 56
48 + 16 > 56
64 > 56
Answer:
41x² - 27x + 27
Step-by-step explanation:
Perimeter of Rectangle:
= 2(20x²-12x+4) + 2(5x²-5x+15)
= 40x²-24x+8 + 10x²-10x+30
= 50x²-34x+38
Perimeter of Triangle:
= 6x²+6x+3x+3+3x²-2x+8
= 9x²+7x+11
Difference:
(50x²-9x²)+(-34x+7x)+(38-11)
= 41x² - 27x + 27
