Answer:
Part a) Exactly values
The width of the rectangle is 
The length of the rectangle is 
Part b) Approximately values
The width of the rectangle is 
The length of the rectangle is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of rectangle is equal to

we have

substitute the values in the formula



so

Solve for x
Divide by 4 both sides

square root both sides

The solution is the positive value

therefore
<em>Exactly values</em>

<em>Approximately values</em>

Answer:
23.87
Step-by-step explanation:
I hope this helps you
if 1 stitch 1/4 inch
72 stitches ? inches
?=72.1/4
?=18 inches
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
<u>Step 1:</u>
(a + x) (ax + b)
<u>Step 2: Proof</u>
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
<u>Step 3: Proof
</u>
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found
.
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126
B. Every third student entering the school in the morning