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1 answer:
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Step-by-step explanation:
The hypotenuse of a right-angled triangle = 25 cm
One side is twice as long as the other.
Let the other side is x.
First side = 2x
Using Pythagoras theorem to find the lengths of the shorter sides.
So, the other side = 11.18 cm
First side = 2(11.18) = 22.36 cm
So, the lengths of the shorter sides are 11.18 cm and 22.36 cm.
Given:
f(x) = x²
g(x) = 4x²
Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.
The graph shown below confirms the conclusion.
Answer: C.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
f(x) = x²
g(x) = 4x²
Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.
The graph shown below confirms the conclusion.
Answer: C.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)
subtracting both sides from 20:
Dividing both sides by 2:
Length is 26 feet.
And, to get the area we put the formula of finding the area:
Therefore, the area of the rectangular playroom is 260 feet² .