Answer:
the lcm would be 30 not 60
Step-by-step explanation:
X=6y
sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y
x=6y
x=6(1/6)
x=6/6
x=1
the numbers are 1 and 1/6
Answer:
(4,-3)
Step-by-step explanation:
If you graph this point, then it will be in the 3rd quadrant.
A 180 degree rotation will put it in the 1st quadrant.
And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).
Answer:

Step-by-step explanation:
Given equation:

Expand the left side:

Let all terms on the left side have the same denominator of 7:

Join the terms on the left side:


Let all the terms on the right side have the same denominator of 3:

Join the terms on the right side:


Cross multiply:

Expand:

Add 12x to both sides:

Add 252 to both sides:

Divide both sides by 40:


Answer:
its in the 1,000 place
Step-by-step explanation: