Answer:
s = 5, s = 9
Step-by-step explanation:
To factor the quadratic
Consider the factors of the constant term (45) which sum to give the coefficient of the s- term (- 14)
The factors are - 9 and - 5
since - 9 × - 5 = + 45 and - 9 - 5 = - 14, hence
s² - 14s + 45 = 0
(s - 9)(s - 5) = 0
Equate each factor to zero and solve for s
s - 9 = 0 ⇒ s = 9
s - 5 = 0 ⇒ s = 5
Your answer would be X=-6
All four sides of the original square have length s.
Adding 3 to s results in s+3, the length of the resulting rectangle.
Subtracting 3 from s results in s-3, the width of the rectangle.
The area of the rectangle is (s+3)(s-3) = s^2 - 9 = 27,
and therefore s^2 = 36, and s = 6 square units.
The straight line distance is 5 miles from starting point.
Step-by-step explanation:
Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.
Where;
One leg = a = 3 miles
Other leg = b = 4 miles
Hypotenuse = c
Using Pythagoras theorem;

Taking square root on both sides

The straight line distance is 5 miles from starting point.
To find bigger number we have to investigate slowly our numbers. First numbers are the same, then is 4 vs 0. It makes that first number is greater and no matter whats next.
4. 4 4
4. 0 4 4
So
4.44>4.044