Answer:
![(-4,32)](https://tex.z-dn.net/?f=%28-4%2C32%29)
Step-by-step explanation:
Given points are ![(-1,-8)](https://tex.z-dn.net/?f=%28-1%2C-8%29)
And given transformation is
![r_{x-axis}](https://tex.z-dn.net/?f=r_%7Bx-axis%7D)
We will start from left to right.
First transformation is reflection about x-axis.
When we reflect about x-axis ![(x,y)\ became\ (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5C%20became%5C%20%28x%2C-y%29)
So, ![(-1,-8)=[-1,-(-8)]=(-1,8)](https://tex.z-dn.net/?f=%28-1%2C-8%29%3D%5B-1%2C-%28-8%29%5D%3D%28-1%2C8%29)
Now next transformation is dilation with a factor 4.
If we do dilation with a factor
to the point ![(x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29)
New co-ordinates after dilation became ![(kx,ky)](https://tex.z-dn.net/?f=%28kx%2Cky%29)
So, ![(-1,8)\ became\ (-4,32)](https://tex.z-dn.net/?f=%28-1%2C8%29%5C%20became%5C%20%28-4%2C32%29)
Answer:
29.
a. A = 24ft²
b. A = 44ft²
30. He will need 72 pieces
31. There is 17,750ft² of land left
Step-by-step explanation:
look at the picture
The answer is Mad went at 14.5 MPH
First you have to multiply Jethro's MPH by 24-hours 24×17=408
Then you subtract how much farther Jethro went 408-60=348
Last of all you divide the distance by the time 348÷24=14.5
That is how you get the answer
This is an easy question. All required information's are provided in the question. In the first case it is given that the tank is getting filled at a rate of 3/4 gallon per 2/3 minute. So by getting the speed of filling we can compare this withe the speed at which the second tank is getting filled. The second tank fills at a rate of 5/8 gallon in 1/2 minute.
If we take the case of the first tank, then,
Speed of filling the first tank = (3/4) * (3/2)
= 9/8
So the first tank is filled at the rate of 9/8 gallons per minute.
Now if we take the case of the second tank, then,
Speed of filling the second tank = (5/8) * 2
= 10/8
So the second tank fills at the rate of 10/8 gallons per minute.
Now we can say that the second tank is getting filled at a faster rate.