One way is to estimate
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
the number 61 is between 49 and 64 therefor the square root of 61is between the intigers 7 and 8 or -7 and -8
Answer:

Step-by-step explanation:
The figure given has two similar triangles: ΔABC and ΔDEF. Although the triangles are similar, their orientation is different and ΔDEF is flipped. Since the triangles are similar, their side lengths are proportional to each other. Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF. The only answer that matches these up proportionally is the third one. Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle. Final answer being:

Answer:
what do you mean?
Step-by-step explanation:
<u>Given</u>:
The given inequality is 
We need to determine the solution of the inequality in interval notation.
<u>Solution of the inequality:</u>
The solution of the inequality can be determined by simplifying the inequality.
Thus, we have,


Subtracting both sides by 3, we get;

Subtracting both sides by 2u, we have;

Dividing both sides by 4, we get;

Writing it in interval notation, we get;

Thus, the solution of the inequality is 
Answer:
y= -1/4
y= -0.25
Step-by-step explanation:
5/6y+1= -1/2y+1/4
<em>Subtract 1 from both sides</em>
5/6y= -1/2y-3/4
<em>Add 1/2y to both sides</em>
1 1/3y= -3/4
<em>Divide both sides by 1/3</em>
y= -1/4
y= -0.25