Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which t
1 answer:
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The equation according to the given verbal sentence is (after solving this
).
<u>Step-by-step explanation:</u>
Rewrite the given verbal sentence and so it will be easier to translate.
Given: The quotient of the sum of 2 t and 2 and twice the cube of s
sum of 2 t and 2 can be written as
2 t + 2
twice the cube of s
Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,
2 t + 2 divided by
Now, the equation would be
When solving this equation, we get
The ordered pair (-3 , ) is on g(x) ⇒ 1st answer
Step-by-step explanation:
Let us revise the reflection across the axes
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)
∵
∵ f(x) is reflected across the y-axis to create the function g(x)
- Change the sign of x
∴
To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it
∵ The coordinates of the point are (-3 , )
∴ x = -3 and y =
- Substitute x by -3 in g(x)
∵
∴
∴
∵
∴
∴
- Divide up and down by 2
∴
∵ The value of g(x) equal to the y-coordinate of the point
∴ The point (-3 , ) lies on g(x)
The ordered pair (-3 , ) is on g(x)
Learn more:
You can learn more about the reflection in brainly.com/question/5017530
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