Answer:
60inches
Step-by-step explanation:
3 times 4 equals 12. 12 times 5 equals 60. so the volume should be 60 inches.
<h2>
Answer</h2>
After the dilation
around the center of dilation (2, -2), our triangle will have coordinates:



<h2>Explanation</h2>
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor
. Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:













Now we can finally draw our triangle:
Consider the example
(3x+5) - (x-10)
When we subtract off the (x-10), we are basically subtracting off x and also subtracting off -10. This is the same as adding on 10 because -(-10) = 10
So we would have these steps
(3x+5)-(x-10)
3x+5-x+10
2x+15
Often students forget to distribute the negative all the way through and would have 3x+5-x-10 as an incorrect step. You need to multiply that -1 through to each term, so that's why the distributive property is used.
First, we know L and W are the same number. The in the end the Length is 6 more, therefore we add 6. The equations begins as so
2x+6=27
-6
2x=21
/2
x=10.5
+6
Therefore the Width =10.5 M
The Length = 16.5 M
Answer:
1.) subtract = 1 1/3 - 3 1/2 = answer
2.) subtract = 6 3/4 - 1 1/2 = answer
3.) add = 3 1/4 + 2 1/8= answer
4.) subtract = 4 3/4 - 2 1/6 = answer
Step-by-step explanation:
5.) 3 lawns = 6 3/4 hrs
1st lawn 2 1/2 hrs
2nd lawn 1 3/4 hrs
add 2 1/2 + 1 3/4 = total
then 6 3/4 hrs - total = the amount it takes to mow the 3rd lawn
im sure u know how to add and subtract fractions is u r in middle school :)