The answer to the question is ORTHOCENTER. The altitude is the line that connects the vertex of a triangle to the opposite side making a 90 degrees with it. Thus, the use of the prefix ortho- for the points where the three altitudes meet.

4 0

3 years ago

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Complete the square to determine the minimum or maximum value of the function defined by the expression.

FrozenT [24]

Answer:

Option D. minimum value at −38

Step-by-step explanation:

we have

$x^{2}-12x-2$

Let

$y=x^{2}-12x-2$

Complete the square

$y+2=x^{2}-12x$

$y+2+36=(x^{2}-12x+36)$

$y+38=(x^{2}-12x+36)$

$y+38=(x-6)^{2}$

$y=(x-6)^{2}-38$ ------> equation of a vertical parabola in vertex form

The vertex is the point $(6,-38)$

The parabola open upward-----> the vertex is a minimum

therefore

minimum value at −38

3 0

3 years ago

Hi can you please solve these problems for me? I'll give you all 5 stars :T

Sunny_sXe [5.5K]

Answer:

number 1. answer 3x+6

number 2. answer 2r-8

number 3. answer 4y+8

number 4. answer 24-6x

3 0

3 years ago