Answer:
![P=19y+15](https://tex.z-dn.net/?f=P%3D19y%2B15)
Step-by-step explanation:
Step one:
Given data
dimension of the rectangle
Width = 8y-1.5
Length = 1.5y+9
Required
The expression to represents the Perimeter
Step two:
the perimeter of a rectangle is expressed as
![P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\](https://tex.z-dn.net/?f=P%3D%202L%2B2W%5C%5C%5C%5CP%3D2%281.5y%2B9%29%2B2%288y-1.5%29%5C%5C%5C%5CP%3D3y%2B18%2B16y-3%5C%5C%5C%5C)
collect like terms
![P=3y+16y+18-3\\\\P=19y+15](https://tex.z-dn.net/?f=P%3D3y%2B16y%2B18-3%5C%5C%5C%5CP%3D19y%2B15)
Answer:
Step-by-step explanation:
Without brackets, we are not exactly sure what is under the root sign. There are 3 choices.
sqrt(x) + 2 - 15 = - 3
sqrt(x + 2) - 15 = - 3
sqrt(x + 2 - 15) = - 3
I think the middle one is what you intend. If not leave a note.
sqrt(x + 2) - 15 = - 3 Add 15 to both sides.
sqrt(x + 2) - 15+15 = - 3+15 Combine
sqrt(x + 2) = 12 Square both sides
x + 2 = 12^2 Do the right
x + 2 = 144 Subtract 2 from both sides.
x + 2-2 = 144-2
x = 142
Step-by-step explanation:
= (1 + 5z)(-4)
= (1 + 5z) × (-4)
= 1.(-4) + 5z. (-4)
= -4 - 20z
Answer:
One number is 561
The other number is 23.6854
Step-by-step explanation:
x = y^2 One number = the square of another
x + y^2 = 1122 The sum of the two numbers is 1122
Substitute y^2 in for x on the second equation.
y^2 + y^2 = 1122 Combine like terms on the left
2y^2 = 1122 Divide by 2
y^2 = 1122/2
y^2 = 561 Take the square root of both sides.
y = 23.6854
x = y^2
x = 561
y^2 = 561
3,322.609847222222 mph. First covert miles to km. This distance is 239227.909 miles. then divide this by the number of hours which is number of days times 24. It took 3 days so it is 72 hours. After diving 239227.909/72 you get your answer of 3,322.609847222222 mph