When you add the equations in (a) you get 7x+y=24.
When you subtract the equations in (b) you also get 7x+y=24.
That means to solve both systems you can work with the same equation. However that is not enough. We must have two equivalent equations. We found only one.
Notice however that in the (b) we can take the first equation and divide every term by 2. When we do this we get 4x-5y=13. That’s the first equation in (a).
So both systems can be solved by working with the same two equations. These are 5x-5y=13 and 7x+y=24. And since we have two equations and two unknowns (the number of equations matches the number of variables) there is only one solution — one x and y that would make both systems true — solve both systems.
Basically we showed the systems are equivalent!
Answer:
Step-by-step explanation:
As each step has the same depth and rise, they are respectively 1.2/4=0.3m and 1.8/4=0.45m.
Dividing the steps along the dotted lines, the total rise of the 4 concrete steps = (1+2+3+4)*0.45
= 4.5m
Total concrete volume = total rise * depth * width
= 4.5*0.3*1.8
= 2.43m^3
Answer:
One is 2 0's before the decimal point (100) and the other is 2 decimal places AFTER the decimal point (0.01)
Essentially, the question is asking us how many times do we multiply 0.01 to get 100? This will be how many times greater 100 is compared to 0.01
Lets move the decimal point 4 times to the right:
0.01
00.1
1.0
10.0
100.0
Step-by-step explanation:
X^2+y^2-8x+4y+4=0 can be written as (<span>x- 4)² + (y+2)²-16-4+4=0, or
</span> (<span>x- 4)² + (y+2)²=16, this is not a an equation of parabola, it is a circle's
</span>its center is (4, -2) and its radius r=4
Answer:
Danny did not reverse the symbol.
Hence, the correct answer is: 
Step-by-step explanation:
Given the inequality
We know that when we multiply both sides by -1, the 'inequality' gets reverse.
i.e.
Divide both sides by 8
Therefore, Danny did not reverse the symbol.
Hence, the correct answer is:
