Answer:

Step-by-step explanation:
First, note that

And using the chain rule in one variable

Now remember that the chain rule in several variables sates that

Therefore the chain rule in several variables would look like this.

Answer:
dont even stress i gotchu
It's 50*, 46* and 84*.
Ratio of the second problem is 1:1 they both have a slope of 1 (which is probably why all three points are on the same line)
Step-by-step explanation:
Since we know that the straight/flat angle would equal 180* we will set the total of all those angles to 180*
We will add them up to find x. Once we find x we can find the value of each angle.
6x-10 + 4x + 6 + 7x + 14 = 180
We will combine like terms and solve for x.
17x+10 = 180
17x = 170
x = 10.
Since we have x = 10, we will plug it into x of each angle to get the value of each angle.
6(10) -10 = 60-10 which equals 50*
4(10) + 6 = 40+6 which equals 46*
7(10) + 14 = 70 + 14 which equals 84*.
Answer:
a) 13, 10, 16
Step-by-step explanation:
The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...
10 + 13 > 16 . . . . choice A
_____
<em>Comment on the triangle inequality</em>
Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.
Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides

Now divide both sides by 2

Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:

Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
well, a right-triangle will have one angle that is 90°, and using the pythagorean theorem, we also know that the longest side is really the root of the sum of the square of the other two. After all that mouthfull let's check
