Answer:
Calculate the sqr of 5 subtract it from 3 and find absolute value
Step-by-step explanation:
Sqr of 5 is 2.23606798
2.23606798 - 3 = -0.76393202
Absolute value of -0.76393202 is 0.76393202
Answer:
4.57 x 
Step-by-step explanation: use ma th way next time and use it to see the steps
Answer:
4
1.5(x+4) - 3 = 4.5( x-2)-----------------------open brackets on both sides
1.5 x +6 -3= 4.5x- 9.................................collect like terms
3+9 = 4.5 x- 1.5x
12=3x..................................divide by 3 both sides to get x
12/3=x
x=4
Answer:
Step-by-step explanation:
(9 + m)(-m + 9) = (9 + m)(9 - m) {(a+b)(a-b) = a² - b²}
= 9² - m²
= 81 - m²
= -m² + 81
Answer:
The length = 20
The width = 12
Explanation:
Let the Length of the garden be L and the Width W
Therefore the area of the garden = L*W
But we know that L = W + 8
Therefore the area of the garden can be expressed as W*(W + 8)
When the brackets are expanded this equals W^2 + 8W
The area of the recctangle which includes the path and garden will have a length of L + 8 (ie the length of the garden + 4 feet at the top and 4 feet at the bottom)
The width will be W + 8 (width of garden + 4 feet at the left and 4 feet at the right)
Therefore the area will be (W + 8)*(L +8)
Once again we know that L = W + 8
Therefore the area of the path/garden = (W +8)(W +8 +8)
=(W +8)(W +16)
=W^2 +24W + 128
We know that the path alone has an area of 320 square feet. Therefore if we subtract the area of the garden (W^2 + 8W) from the area of the path/garden the area left is the area of the path only
Therefore W^2 + 24W + 128 - (W^2 + 8W) = 320
W^2 + 24W + 128 - W^2 - 8W = 320
Simplify
16W + 128 = 320
Subtract 128 from both sides of the equation
16W = 192
divide both sides of the equation by 16
W = 12
As L = W + 8
L = 12 + 8 = 20
