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Sidana [21]
3 years ago
14

DOUBLE POINTS!!!! DUE TODAY!!!!

Mathematics
2 answers:
ki77a [65]3 years ago
7 0

Answer:

2. proven 3.Given 4.Given

Step-by-step explanation: I'll take this down if it is incorrect.

Ray Of Light [21]3 years ago
6 0

Answer:

2. Definition of collinear line

3. Substitution

4. Subtraction property

Step-by-step explanation:

2. because a collinear line is a line that points are all on the same line.

3. Because you substituted XY with 6 and XZ with 14

4. because you would subtract 6 from 14 to get 8

HOPE THIS HELPED!

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timama [110]

Answer:

Range is {y | y ≥ –11}


Step-by-step explanation:

This is quadratic equation.

<em>A quadratic equation's range can be found if we find the vertex.</em>

For quadratic equations that have a positive number in front of  x^{2} , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>


The formula for vertex of a parabola is:

Vertex =  (-\frac{b}{2a}, f(-\frac{b}{2a})

Where,

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From our equation given, a=3  and  b=6

Now, x coordinate of vertex is  x=-\frac{b}{2a}\\x=-\frac{6}{(2)(3)}\\x=-\frac{6}{6}\\x=-1

y coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the x value [ x=-1 ] into the equation. So we have:

3(-1)^{2}+6(-1)-8\\=-11


Hence, the range would be all numbers greater than or equal to -11  

Third answer choice is the right one.


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