10. Horizontal shift of 50, vertical shift of -20, horizontal shift of -50. Think of it on a plane, with right in the positive x-axis and up in the positive y-axis. The cans go right 50ft, then down 20ft, then left 50ft. In terms of the horizontal and vertical, they go 50ft in the positive horizontal axis, then 20ft in the negative vertical axis, then 50ft in the negative horizontal axis. Therefore, the cans have a horizontal shift of 50, then a vertical shift of -20, then a horizontal shift of -50.
11. Since the partition and the wall are parallel, the triangles are similar. This means that the ratio between the sides are the same for the small triangle and the big triangle. The small triangle (made by the partition) is 3m wide and 2m tall. Since the big triangle (made by the wall) is 4m tall, the sides of the big triangle are twice the size of the small triangle. Therefore, the big triangle is 6m wide. We cannot forget to subtract the 3m from the small triangle, since we only want to know how far the partition is from the wall, not how far the point is from the wall.
The wall is 3m away from the partition.
Answer:
sorry but where is the triangle ️
Answer:
54 MINUTES.
Step-by-step explanation:
3:14 - 2:20 = 54 MINUTES!!
X - y = 4
-y = -x + 4
-y ÷ -1 = (-x ÷ -1) + (4 ÷ -1)
y = x - 4 (y equals the entire ending equation)
___________________
x - 2y = 10
-2y = -x + 10
-2y / -2 = (-x ÷ -2) + (10 ÷ -2)
y = 0.5x + -5 (y equals the entire ending equation)
x doesn't have an equality on these kinds of equations
Call the number of hours babysitting
![B](https://tex.z-dn.net/?f=B)
and the number of hours walking dogs
![D](https://tex.z-dn.net/?f=D)
.
We know that she earns $6/hr for babysitting or
![6B](https://tex.z-dn.net/?f=6B)
, and $5/hr walking dogs or
![5D](https://tex.z-dn.net/?f=5D)
. We also know the total money is $43 and the total time is 8hours. Therefore:
![B+D=8](https://tex.z-dn.net/?f=B%2BD%3D8)
![6B+5D=43](https://tex.z-dn.net/?f=6B%2B5D%3D43)
To solve: First rearrange equation 1 to solve for either
![B](https://tex.z-dn.net/?f=B)
or
![D](https://tex.z-dn.net/?f=D)
(doesn't matter which, I'll use
![B](https://tex.z-dn.net/?f=B)
):
![B=8-D](https://tex.z-dn.net/?f=B%3D8-D)
Now substitute into equation 2:
![6(8-D)+5D=43](https://tex.z-dn.net/?f=6%288-D%29%2B5D%3D43)
and solve for
![D](https://tex.z-dn.net/?f=D)
![48-6D+5D=43](https://tex.z-dn.net/?f=48-6D%2B5D%3D43)
![-D=-5](https://tex.z-dn.net/?f=-D%3D-5)
![D=5](https://tex.z-dn.net/?f=D%3D5)
Now backsubstitute to solve for
![B](https://tex.z-dn.net/?f=B)
:
![B=8-D](https://tex.z-dn.net/?f=B%3D8-D)
![B=8-5](https://tex.z-dn.net/?f=B%3D8-5)
![B=3](https://tex.z-dn.net/?f=B%3D3)
She babysat for 3 hours and walked dogs for 5.
To check our work:
![6B+5D=43](https://tex.z-dn.net/?f=6B%2B5D%3D43)
![6(3)+5(5)=43](https://tex.z-dn.net/?f=6%283%29%2B5%285%29%3D43)
![18+25=43](https://tex.z-dn.net/?f=18%2B25%3D43)
![43=43](https://tex.z-dn.net/?f=43%3D43)
CHECKS