Answer: w=(P - 2L)/2
Step-by-step explanation:
P=2L+2W
P - 2L=2W
Divide both sides by 2
(P - 2L)/2=2W/2
(P - 2L)/2=W
W=(P - 2L)/2
Answer:
41,666.67m2
Step-by-step explanation:
Call W the Width and L the Length with 3 pieces.
The total length will be 2W + 3L
The Area is L*W
so,
A = L*W
2W+3L = 1000
Solve for L
3L = 1000-2W
L = (1000-2W)/3
subtitute for L into the first equation
A = L*W
A = W*(1000-2W)/3
A = (1000W - 2W^2)/3
Now, to find the max, set the 1st derivative = 0. I don't know if you know what that means, but...
dA/dW = 1000/3 - 4W/3 = 0
1000 - 4W = 0
W = 250 meters
Solve for L
2W+3L = 1000
500 + 3L = 1000
3L = 500
L = 166.67 m
Area = 250*500/3 = 41,666.67m2.
The complete similarity transformation is: triangle abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
<h3><u>
What is Similarity?</u></h3>
- When it comes to Euclidean geometry, two things are said to be comparable if they have the same shape or the same shape as each other's mirror image.
- More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other.
- This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.
From the figure, we have:
AB = 2 units
DE = 4 units
So, the scale factor (k) is:
k = DE/AB
k = 4/2
k = 2
Also, both shapes are on either sides of the x-axis, and they are equidistant from the x-axis.
This means that the triangle is reflected across the x-axis with no translation.
Hence, the complete similarity transformation is: abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].
So, the scale factor is 2
Know more about Similarity with the help of the given link:
brainly.com/question/12670209
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Answer:
Infinite number of solutions.
Step-by-step explanation:
y = -7x - 2
y + 3 = -7x + 1
Subtract 3 from both sides:
y = -7x - 2
- this is the same as the first equation.
We can put any number of valid combinations of x and y into this equation.
So there are infinite solutions.
<u><em>The law illustrated is Distributive Law</em></u>
This question is under a topic called algebra laws.
The laws are;
- Commutative law; This implies that when we are to add or multiply numbers, the order of addition or multiplication doesn't matter as we will still get same result.
- Associative law; This implies that if we want to add more than 2 numbers, if we decide to add the first 2 before adding the third one, we will still get the same result as if we added the second one to the third one before adding to the first one. This law also applies to multiplication.
- Distributive law; This implies that when two numbers are multiplied to produce a result, both numbers are factors of the result.
We are told in the question that ; 5n x 1 = 5n
This means that 5n and 1 are factors of 5n and this corresponds to distributive law
Read more at; brainly.in/question/39479409?tbs_match=1
