Answer:
Step-by-step explanation:
Given is a function f in two variables as
To find critical points of the given function and also to find max, min or saddle point.
Find the partial derivatives
Equate first derivatives to 0
Adding fx and fy we get
x=±y
Only real roots are (x,y) =(3,3) and (-3,-3)
(3,3) is a saddle point
(-3,-3) is also a saddle point.
Question 1:Use the Pythagorean theorem.
If
, then the angle is acute.
If
, then the angle is right.
If
, then the angle is obtuse.
Thus, the angle is acute.
Question 2:Take the square root of the area to get the side length.
That's the side length. Since we have a 45-45-90 right triangle if we divide the square across its diagonal, we just multiply the side length by the square root of 2 in order to get the diagonal length.
Your answer is 20 m. Hope this helps! :)
Answer:
y=-2x+3
Step-by-step explanation:
y=mx+b
m=-2,b=3
so, y=-2x+3
hopes this helps
Answer:
∠5 = 95°
Step-by-step explanation:
Where the transversal crosses parallel lines at some angle not a right angle, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute angles are (obviously) not congruent with the acute angles. Any acute angle is supplementary to any obtuse angle.
Since angles 5 and 6 are a linear pair, the angle relationships of the parallel lines are irrelevant. A linear pair of angles is supplementary.
∠6 = 85° . . . . is given
∠5 is shown as obtuse, so its measure is ...
∠5 = 180° -85° = 95°
_____
<em>Additional comment</em>
85° angles: 2, 3, 6, 7
95° angles: 1, 4, 5, 8
Any angle from the 85° angle list is <em>not congruent</em> with any angle from the 95° angle list. For example, angles 2 and 5 are not congruent.
Yes it is because 1/4 + 1/4 =2/4 and 2/4 equals 1/2
