2. Bryan and Lori were each given the same pair of numbers. Bryan's description of the two numbers was: The larger number is 3 m
1 answer:
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Answer:
They are represented by downward parabola
They have the same equations of line of symmetry
Their vertices have same x-coordinates but different y-coordinates
They have the same domains
They have different ranges
They have different maximum values at same x values
The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up
Step-by-step explanation:
y = -2x² is a quadratic equation which represents by a parabola
From the red graph:
The graph of y = -2x² is represented by downward parabola
It has a maximum vertex (0 , 0)
The line of symmetry at x = 0
Its maximum value = 0 at x = 0
Its domain is {x: x ∈ R}
Its range is {y: y ≤ 0}
From the blue graph:
The graph of y = -2x² + 4 is represented by down ward parabola
It has a maximum vertex (0 , 4)
The line of symmetry at x = 0
Its maximum value = 4 at x = 0
Its domain is {x: x ∈ R}
Its range is {y: y ≤ 4}
From the two graphs
They are represented by downward parabola
They have the same equations of line of symmetry
Their vertices have same x-coordinates but different y-coordinates
They have same domains
They have different ranges
They have different maximum values at same x values
The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up
Answer:
No this is not the same as cos(2Ф)
Step-by-step explanation:
First I changed the Ф into 1-
Ф
I then foiled the (1-2Ф)(1-
Ф) and that resulted in 1-
Ф-2
Ф+2
Ф
From there, I then cancelled the two 2Ф and combined like terms and was left with 1-3
Ф
Now 1-3Ф ≠ cos(2Ф)
Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.
Step-by-step explanation:
The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
The given sides of the triangle is 4 inches, 4 inches, and 7 inches.
Here,
So by triangle inequality, a triangle with sides 4 inches, 4 inches, and 7 inches. is possible.
Since it has two equal sides as 4 inches , then it must be an isosceles triangle.
