Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
OK so on the top problem, the first thing you want to do is find the √37, once you know the answer to that you can compare it to 5 1/4 then it will be much easier to see is in fact √37 less than 5 1/4 or not.
On the bottom you want to know if 15 over the square root of ten is greater than 8.38 so what you want to do is to first find the square root of ten. after you know this then you put that number under 15. then you can compare what ever 15÷√10 is to 8.83. if you need any more info let me know.
Answer:

Step-by-step explanation:
Slope Formula: 
Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:



Answer:
Since length is three times, hence it is 6 inches.
let the width be x.
then, length= 3x
perimeter= 16 inches.
perimeter of a rectangle = 2( L+B)
2(3x+x)=16.
3x+x= 16÷2
4x= 8
x= 2
since length=3x
hence, 3×2= 6 inches
Answer:
x = 23/7
Step-by-step explanation:
7 x + 15 equals 38
7x+15 = 38
Subtract 15 from each side
7x+15-15 = 38-15
7x = 23
Divide each side by 7
7x/7 = 23/7
x = 23/7