Answer:
When writing your own two-column proof, keep these things in mind:
Number each step.
Start with the given information.
Statements with the same reason can be combined into one step. ...
Draw a picture and mark it with the given information.
You must have a reason for EVERY statement.
Step-by-step explanation:
Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:
y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5
To try to discard one of them, let us use the vertex, which is at x = -2.
With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.
Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.
Then, the answer is 2x^2 + 8x -5
The perimeter of the given rectangle will be ( 12x + 10 ).
<h3>What is the perimeter?</h3>
The perimeter is defined as the sum of all the sides of the given shape. For a triangle, the perimeter will be the sum of all the sides of the rectangle.
It is given that the two sides of the rectangle are (2x + 2) and (4x + 3). Then the perimeter of the rectangle will be calculated as below:-
Perimeter = Sum of all the sides of the rectangle
Perimeter = 2 ( 2x + 2 + 4x + 3 )
Perimeter = 4x + 4 + 8x + 6
Perimeter = 12x + 10
Therefore, the perimeter of the given rectangle will be ( 12x + 10 ).
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Answer:
11 red + 24 blue = 35 marbles
If 1 blue is withdrawn
11 red + 23 blue = 34 marbles
P = 23 / 34 = .38 probability of drawing blue marble
Answer:
60
Step-by-step explanation:
straight line =180
180-120=60