Eduardo's definition of parallel lines is two lines that never meet. Is he correct? In two or more complete sentences, explain w
2 answers:
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Answer:
The dimensions of the two different rectangular regions are;
1st Arrangement:
W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards
2nd Arrangement:
W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards
The perimeter of the two different rectangular regions are;
1st Arrangement:
P₁ = 18 yards
2nd Arrangement:
P₂ = 24 yards
Step-by-step explanation:
Bella is putting down patches of sod to start a new lawn.
She has 20 square yards of sod.
We are asked to provide the dimensions of two different rectangular regions that she can cover with the sod.
Recall that a rectangle has an area given by
Area = W*L
Where W is the width of the rectangle and and L is the length of the rectangle.
Since Bella has 20 square yards of sod,
20 = W*L
There are more than two such possible rectangular arrangements.
Out of them, two different possible arrangements are;
1st Arrangement:
20 = (4)*(5) = (5)*(4)
Width is 4 yards and length is 5 yards or width is 5 yards and length is 4 yards
2nd Arrangement:
20 = (2)*(10) = (10)*(2)
Width is 2 yards and length is 10 yards or width is 10 yards and length is 2 yards
Therefore, the dimensions of two different rectangular regions are;
1st Arrangement:
W = 4 yards and L = 5 yards or W = 5 yards and L = 4 yards
2nd Arrangement:
W = 2 yards and L = 10 yards or W = 10 yards and L = 2 yards
What is the perimeter of each region?
The perimeter of a rectangular shape is given by
P = 2(W + L)
Where W is the width of the rectangle and and L is the length of the rectangle.
The perimeter of the 1st arrangement is
P₁ = 2(4 + 5)
P₁ = 2(9)
P₁ = 18 yards
The perimeter of the 2nd arrangement is
P₂ = 2(2 + 10)
P₂ = 2(12)
P₂ = 24 yards
So the perimeter of the 1st arrangement is 18 yards and the perimeter of the 2nd arrangement is 24 yards.
Note:
Another possible arrangement is,
20 = (1)*(20) = (20)*(1)
Width is 1 yard and length is 20 yards or width is 20 yards and length is 1 yard.
<h2>Answer:</h2>
Ques 1)
Ques 2)
Ques 1)
We know that if a graph is stretched by a factor of a then the transformation if given by:
f(x) → a f(x)
Also, we know that the translation of a function k units to the right or to the left is given by:
f(x) → f(x+k)
where if k>0 then the shift is k units to the left
and if k<0 then the shift is k units to the right.
Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
This means that the function g(x) is given by:
Ques 2)
We know that the transformation of the type:
f(x) → f(x)+k
is a shift or translation of the function k units up or down depending on k.
If k>0 then the shift is k units up.
and if k<0 then the shift is k units down.
Here, The graph of the function f(x)=|3x| is translated 4 units up.
This means that the transformed function g(x) is given by:
Answer:
2.75+11.50S55
4
Step-by-step explanation: