Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
![Area = 135yd^2](https://tex.z-dn.net/?f=Area%20%3D%20135yd%5E2)
![L=3W - 12](https://tex.z-dn.net/?f=L%3D3W%20-%2012)
Required
Determine the length of the rectangle:
Area is calculated as thus:
![Area = L * W](https://tex.z-dn.net/?f=Area%20%3D%20L%20%2A%20W)
Substitute 3W - 12 for L and 135 for Area
![135= (3W - 12) * W](https://tex.z-dn.net/?f=135%3D%20%283W%20-%2012%29%20%2A%20W)
![135= 3W^2 - 12W](https://tex.z-dn.net/?f=135%3D%203W%5E2%20-%2012W)
Reorder:
![3W^2 - 12W - 135= 0](https://tex.z-dn.net/?f=3W%5E2%20-%2012W%20-%20135%3D%200)
Divide through by 3
![W^2 - 4W - 45 = 0](https://tex.z-dn.net/?f=W%5E2%20-%204W%20-%2045%20%3D%200)
Expand:
![W^2 - 9W + 5W - 45 = 0](https://tex.z-dn.net/?f=W%5E2%20%20-%209W%20%2B%205W%20-%2045%20%3D%200)
![W(W - 9) + 5(W - 9) = 0](https://tex.z-dn.net/?f=W%28W%20%20-%209%29%20%2B%205%28W%20-%209%29%20%3D%200)
![(W + 5)(W-9) = 0](https://tex.z-dn.net/?f=%28W%20%2B%205%29%28W-9%29%20%3D%200)
or ![W - 9 = 0](https://tex.z-dn.net/?f=W%20-%209%20%3D%200)
or ![W = 9](https://tex.z-dn.net/?f=W%20%3D%209)
But width can't be negative
So:
![W = 9](https://tex.z-dn.net/?f=W%20%3D%209)
Recall that: ![L=3W - 12](https://tex.z-dn.net/?f=L%3D3W%20-%2012)
![L = 3 * 9 - 12](https://tex.z-dn.net/?f=L%20%3D%203%20%2A%209%20-%2012)
![L = 15](https://tex.z-dn.net/?f=L%20%3D%2015)
<em>Hence, the length 15 yards</em>
Answer:
i cant see the photos
Step-by-step explanation:
sorry talaga
A weight lifter can bench press 189 kg. How many milligrams (mg) is this?
Answer: We know that:
![1kg=1,000,000 mg](https://tex.z-dn.net/?f=1kg%3D1%2C000%2C000%20mg)
We are given, that a weight lifter can bench press 189 kg
Therefore, a weight lifter can bench press:
![189 \times 1,000,000 mg](https://tex.z-dn.net/?f=189%20%5Ctimes%201%2C000%2C000%20mg)
![189,000,000mg](https://tex.z-dn.net/?f=189%2C000%2C000mg)
![18.9 \times 10^{7} mg](https://tex.z-dn.net/?f=18.9%20%5Ctimes%2010%5E%7B7%7D%20mg)
Therefore,
is equal to the ![189 kg](https://tex.z-dn.net/?f=189%20kg)
Answer:
The number Jane is thinking of is 42.
Step-by-step explanation:
45-3
=42
Vous êtes les bienvenus...
Answer:
The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.
Step-by-step explanation:
hope dis helps ^-^