Y-3=-3y-43
4y-3=-43
4y=-46
y=-11.5
Answer:
The correct answer is option B and D.
Step-by-step explanation:
A. Shawn owed 40% of his tuition bill, b, after paying $6.00
= 40%of (b-6)
B. The amount donated to the school was 40% more that $6.00.
Amount donated to the school = b
b=6+40% of b
C. The cost for a coat was 40% of the sum of b and $6.00.
= 40%(b+6)
D. Summer paid $6.00 more than 40% of b.
Amount by summer = x
= 40%b+6
Would need the net to answer. but to find the answer you need to find the slant height of the square pyramid, the slant height is the hypotenuse of the right triangle formed by the height and half the base length. Use the pythagorean Theorem
Answer:



Step-by-step explanation:
The given function is

We need to find first partial derivatives of the function.
Differentiate partially w.r.t. x and y, z are constants.


Differentiate partially w.r.t. y and x, z are constants.


Differentiate partially w.r.t. z and x, y are constants.



Therefore, the first partial derivatives of the function are
.
Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length 
Length 
Length
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units