To determine the minimum of an equation, we derive the <span>equation using differential calculus twice (or simply </span><span>take the second derivative of the function). If the </span><span>second derivative is greater than 0, then it is minimum; </span><span>else, if it is less than 1, the function contains the </span><span>maximum. If the second derivative is zero, then the </span><span>inflection point </span><span>is</span><span> identified.</span>
Answer:
-2
Step-by-step explanation:
We can find the slope of a line by using two points
(-2,1) and (2,-7)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-7-1)/(2- -2)
= (-8)/(2+2)
= -8/4
=-2
Answer:
x=35
Step-by-step explanation:
2x+15+2x-10+x=180
combine factors
5x+5=180
-5 from both sides
5x=175
divide 175/5x
x=35
Answer:
Complementary, x=60.
Step-by-step explanation:
The angles are complementary because they add up to 90 degrees, opposing supplementary angles, which add up to 180 degrees. To find x, we need to form an equation to represent the problem. We know the two angles add up to 90 degrees, so we can use that to make the equation.
(x-30)+x=90 Simplify.
x-30+x=90
2x-30=90 Add 30 to both sides.
<u>+30 +30</u>
2x=120 Divide both sides by 2.
x=60
We can also find the value of the angles by plugging in x.
Angle 1: (x-30)
(60-30)
30 degrees
Angle 2: x
60 degrees
(You can also notice that the two angles add up to 90 degrees, which is another way of telling that the angles are complementary.)
Hope this helps and have an amazing day!! C:
Yes. Translation is taking an object and sliding it across something. :)
