This is the concept of arithmetic; given that a string was cut into 3 equal pieces.
The length of each piece will be:
[length of the string]*3
length of the string=2 1/4 ft=9/4 ft
thus the length will be:
9/4÷3
=9/4×1/3
=3/4 ft
thus we conclude that the length of each string will be 3/4 ft long
in short, we simply divide the whole of 45 by (7+4+3+1), and then distribute accordingly, let's do that,
![\bf \cfrac{45}{7+4+3+1}\implies \cfrac{45}{15}\implies 3 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Stephen}{7(3)}~:~\stackrel{Marley}{4(3)}~:~\stackrel{David}{3(3)}~:~\stackrel{Katherine}{1(3)}\implies \stackrel{Stephen}{21}:\stackrel{Marley}{12}:\stackrel{David}{9}:\stackrel{Katherine}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B45%7D%7B7%2B4%2B3%2B1%7D%5Cimplies%20%5Ccfrac%7B45%7D%7B15%7D%5Cimplies%203%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7BStephen%7D%7B7%283%29%7D~%3A~%5Cstackrel%7BMarley%7D%7B4%283%29%7D~%3A~%5Cstackrel%7BDavid%7D%7B3%283%29%7D~%3A~%5Cstackrel%7BKatherine%7D%7B1%283%29%7D%5Cimplies%20%5Cstackrel%7BStephen%7D%7B21%7D%3A%5Cstackrel%7BMarley%7D%7B12%7D%3A%5Cstackrel%7BDavid%7D%7B9%7D%3A%5Cstackrel%7BKatherine%7D%7B3%7D)
The equation is already solved
Answer:Equation at the end of step 1
STEP
2
:
4a2 - b2
Simplify ————————
2a - b
Trying to factor as a Difference of Squares:
2.1 Factoring: 4a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + b) • (2a - b)
Canceling Out :
2.2 Cancel out (2a - b) which appears on both sides of the fraction line.
Final result :
2a + b
Step-by-step explanation:
Answer:
A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c2 = a2 + b2, where c is the length of the hypotenuse and a and b the lengths of the other two sides.
Step-by-step explanation:
