<h2>
Answer:</h2>
The expression which represents the perimeter P of the rectangle as a function of L is:
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Step-by-step explanation:</h2>
The length and width of a rectangle are denoted by L and W respectively.
Also the diagonal of a rectangle is: 10 inches.
We know that the diagonal of a rectangle in terms of L and W are given by:
( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )
Hence, we have:
But we know that width can't be negative. It has to be greater than 0.
Hence, we have:
Now, we know that the Perimeter of a rectangle is given by:
Here we have:
Answer:
- Length of side BC=434 Units
Step-by-step explanation:
Given a rhombus ABCD
|AB|=|DC| (Opposite sides of a rhombus are equal)
|AB|=9s+29
|DC|=10s-16
Therefore:
9s+29=10s-16
Collect like terms
10s-9s=29+16
Recall: |AB|=9s+29
|AB|=9(45)+29=405+29=434 Units
Since all the sides of a rhombus are congruent
AB=AC=BD=CD
Therefore:
|BC|=434 Units
- Therefore, the length of side BC=434 Units
Answer:
2n + 7
Step-by-step explanation:
Answer: The price for the gloves were $5 each and the price of the hats were $7 each.
Step-by-step explanation:
2g + 4h = 38 solve by elimination
3g + 5h = 50
-3(2g + 4h) = 38(-3) -6g -12h= -114
2 (3g + 5h)= 50(2) 6g + 10h =100
0 + -2h= -14
h= 7
-6g -12(7)=-114
-6g -84 = -114
+ 84 +84
-6g =-30
g= 5
