4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
Answer:
8 pounds
Step-by-step explanation:
use a proportion of 2/5 = x/20.
x will equal 8
The number of cubes with edge length ⅕ inch that will fit in the prism is: 1,920 cubes
<h3>Volume of a Rectangular Prism</h3>
Volume of a rectangular prism = length × width × height
<h3>Volume of a Cube</h3>
A cube has equal edge length. Therefore, the volume of a cube = a³, where a is the edge length.
Given the following,
Dimensions of Priya's Rectangular Prism:
2⅖ = 2.4 inches
3⅕ = 3.2 inches
2 inches
Volume of the Rectangular Prism = 2.4 × 3.2 × 2 = 15.36 in.³
Dimension of the cubes:
edge length = ⅕ inch
Volume of the cube = (⅕)³ = 0.008 in.³
The number of ⅕ inch edge cube that will fit in the prism = Volume of Prism / Volume of Cube
= 15.36/0.008 = <em>1,920 cubes </em>
Learn more about Volume of Prism on:
brainly.com/question/9761614
0.01666666666
-1/3 divided by -4/5
hope this helps you
I am a size 12 in women and I wear a size 26 in men but I still have a little room. You should try a size 22 maybe?
