Answer:
thanks thanks thanks thanks thanks for your points
X intercept is (1,0)
y intercept is (0,-4)
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>
The distance travelled by an object is 50 m.
<h3>What is Distance?</h3>
The distance between two points is the length of the path connecting them.
Here, given equation of distance
S = 1/2 (u + v)t
Where s is the distance traveled by an object (in meters)
initial velocity u (in m/s)
final velocity v (in m/s).
t in seconds.
Now, given values are;
u = 8 m/s ; v = 12 m/s ; t = 5 sec.
S = 1/2 (8 + 12)5
S = 1/2 (20)5
S = 100/2
S = 50 m.
Thus, the distance travelled by an object is 50 m.
Learn more about Distance from:
brainly.com/question/15172156
#SPJ1
Answer:
I think the answer is 56
Step-by-step explanation:
35 divided by 5 is 7, then you multiply 7 by 8 and you get 56