Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
b
Step-by-step explanation: i don know
Calm Down this is a nasty proof
CB is parallel to ED (Given)
CB is congruent to ED (Given)
Angle CBF is congruent to Angle EDF (Vertical Angles)
Angle DEF is congruent to Angle BCF (Alternate Interior Angles)
Angle EDF is congruent to Angle CBF (Alternate Interior Angles)
Therefore we now have enough information to solve. We have a side angle side triangle here so.....
Triangle CBF is congruent to Triangle EDF because of the Side Angle Side Theorem.
Good Luck and Your Welcome
Answer:
13/14
Step-by-step explanation:
If the player chance of making it is 1/14 the remaining chances are the chances he will miss it.
Answer:
The population in the study is the entire set of high school students in the United States
Step-by-step explanation:
The goal of the study is to study the texting habits of hogh school students
