I am going to explain this using the substitution method, considering it appears to be the best in this situation.
We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:
3x+20=x^2+2x
Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you
x+20=x^2
Now, we take the square root of both sides to get
rad(x+20)=x
Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes
2rad(x+5)
This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
8/3=3x (cross multiplied to get this)
X=8/9 (divided both sides by 3)
Hope this helps :)
2 meters = 200 centimeters
First, simplify the equation 3X-8X is -5X. So 24=16+-5X. Then subtract 16 from both sides. So you get 8=-5X. Then divide by -5.
So X= -8/5
For this kind of questions, what you can do is to find a point on the figure and see what translations it does.
For example, you can find the point (4,2) on the figure H. And then look at each choices to see if the statement is correct.
For this question, the answer is B. The point (4,2) finally change to the (4,-8) on the figure H'. It has a vertical translation of 10 units down.
