Hi!
Let's write the equation in number form first.
7 over 8
7/8
minus 1
7/8 - 1
over x
7/8 - 1/x
equals 3
7/8 - 1/x = 3
over 4
7/8 - 1/x = 3/4
Now to find the value, let's put each option as the value for x.
A. x = 1
7/8 - 1/1 = 3/4
7/8 - 1 = 3/4
0.875 - 1 = 0.75
-0.125 = 0.75
This is wrong.
B. x = 2
7/8 - 1/2 = 3/4
7/8 - 0.5 = 3/4
0.875 - 0.5 = 0.75
0.375 = 0.75
This is wrong.
C. x = 4
7/8 - 1/4 = 3/4
7/8 - 0.25 = 3/4
0.875 - 0.25 = 0.75
0.625 = 0.75
This is wrong.
D. x = 8
7/8 - 1/8 = 3/4
7/8 - 0.125 = 3/4
0.875 - 0.125 = 0.75
0.75 = 0.75
This is correct!
The answer is d. x = 8
Hope this helps! :)
-Peredhel
Answer:
General conditions of congruency of triangles
Step-by-step explanation:
As no triangles are given, explaining the general rules to apply in congruency of all triangles.
Triangles are congruent on the basis of following conditions :
- SSS : All 3 sides of two triangles are equal
- SAS : 2 sides & angle between them, of two triangles are equal
- ASA : 2 angles & corresponding side, of two triangles are equal
- HL : Hypotenuse & Leg of two right angled triangles are equal
Answer:
It's B for edge 2020
Step-by-step explanation:
Wow, Lagrange multipliers in high school!
As a rule with these Lagrange multiplier problems, when the problem is symmetrical with respect to interchange of the variables, the solution almost always ends up with all the variables equal -- what else could it be?
We want to maximize the area of a rectangle with sides x and y subject to the perimeter being constant.
(i)
The area of a rectangle is just the product of its sides:
A = f(x,y) = xy
(ii)
The perimeter of a rectangle is the sum of its sides:
P = g(x,y) = x + x + y + y = 2x+2y
(iii)
Usually I like to form the objective function E=f-λg before I take the derivatives. I usually use a lambda not a gamma for the multiplier.
Let's do what they ask. They want the gradient ∇f(x, y)
∇f(x, y) = (y, x)
(iv)
λ∇g(x, y) = (2λ, 2λ)
(v)
I'm not sure what γ=1/2y is about; I'll solve it like I know how and see where we are.
There it is. We get
y = 2λ
so we also find
x = 2λ
(vi)
We have y=x=2λ so we've shown the variables are equal, i.e. our rectangle is a square. We can solve for λ using our constraint:
P = 2x+2y = 8λ
λ=P/8
so as expected we have a square with side length P/4:
x=y=2λ=P/4
I think t<span>he interest is $157.50. Hope this helps!</span>