Answer:
(12/1.35)^2 ~= 79.012346
(roughly equal to ~=)
Step-by-step explanation:
divide both sides by 1.35
12/1.35 = √x
square both sides to get rid of √
(12/1.35)^2 ~= 79.012346
The width of the rug is 3 inches
Step-by-step explanation:
A knitter wants to make a rug for a dollhouse
- The length of the rug will be 2 inches more than it’s width
- The total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)
- The desired area of the rug is 15 square inches
We need to find the width of the rug
∵ The area of the rug is A(w) = w(2 + w)
- Simplify the right hand side
∴ A(w) = 2w + w²
∵ The desired area of the rug is 15 square inches
- Equate A(w) by 15
∴ 2w + w² = 15
- Subtract 15 from both sides
∴ 2w + w² - 15 = 0
- Its a quadratic equation arrange its terms from the greatest power of x
∴ w² + 2w - 15 = 0
Factorize it into two binomial factors
∵ w² = w × w
∵ 15 = 3 × 5
∵ 5w - 3w = 2w
∴ w² + 2w - 15 = (w -3)(w + 5)
∴ (w - 3)(w + 5) = 0
- Equate each factor by 0
∴ w - 3 = 0 OR w + 5 = 0
∵ w - 3 = 0
- Add 3 to both sides
∴ w = 3
∵ w + 5 = 0
- Subtract 5 from both sides
∴ w = -5 ⇒ rejected because no dimension with -ve value
∴ w = 3 only
The width of the rug is 3 inches
Learn more:
You can learn more about the quadratic equation in brainly.com/question/9328925
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Answer:
Depends of how much water.
Step-by-step explanation:
Please redo that question with more details you have to say how much water before you state the question.
The equation for the g(x) is g(x) = -3f(x) after applying the transformation.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a graph of a function shown in the picture.
From the graph:
When, x=0, y=3
The graph f(x) is reflected over the x-axis and stretched upward.
The transformation can be applied:
g(x) = -3f(x)
Thus, the equation for the g(x) is g(x) = -3f(x) after applying the transformation.
Learn more about the function here:
brainly.com/question/5245372
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