Answer:
Step-by-step explanation:
New coordinate = [old coordinate - dilation center]* scale factor + dilation center
So,
For A(1,1)
![[(1,1)-(-1,4)]*3+(-1,4)\\(2,-3)*3+(-1,4)\\(6,-9)+(-1,4)\\(5,-5)](https://tex.z-dn.net/?f=%5B%281%2C1%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%282%2C-3%29%2A3%2B%28-1%2C4%29%5C%5C%286%2C-9%29%2B%28-1%2C4%29%5C%5C%285%2C-5%29)
For B(1,4)
![[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)](https://tex.z-dn.net/?f=%5B%281%2C4%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%282%2C0%29%2A3%2B%28-1%2C4%29%5C%5C%286%2C0%29%2B%28-1%2C4%29%5C%5C%285%2C4%29)
For C(4,4)
![[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)](https://tex.z-dn.net/?f=%5B%284%2C4%29-%28-1%2C4%29%5D%2A3%2B%28-1%2C4%29%5C%5C%285%2C0%29%2A3%2B%28-1%2C4%29%5C%5C%2815%2C0%29%2B%28-1%2C4%29%5C%5C%2814%2C0%29)
Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.
Answer:
36/24 is greater than 9/6
Step-by-step explanation:
He told me my fish would die
The next day dead! (No, no!)
He told me I'd grow a gut!
And just like he said... (no, no!)
He said that all my hair would disappear, now look at my head (no, no! Hey!)
Your fate is sealed when your prophecy is read!
You need to represent the number of males in terms of females.
Explanation:
Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.
So then the number of males is <span>f+240</span> and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: <span>f+<span>(f+240)</span>=2500</span>. I put the number of males in brackets there just to make it easy to recognize.
This equation can be condensed into <span>2f+240=2500</span> and then solved:
<span>2f=2500−240</span>
<span>f=<span><span>2500−240</span>2</span></span>
<span>f=1130</span>
Then, we know the number of females, and we can solve for the number of males from here using our male formula: <span>males=f+240</span>. You should then get 1370 as the number of males.
Checking this answer, we see that 1130 + 1370 does equal 2500.