Answer:
y = 40 / x^1/3
Step-by-step explanation:
Given that :
y α x^1/3
y = k * 1 / x^1/3
y = k / x^1/3
When x = 125 ; y = 8
8 = k / 125^1/3
Cube root of 125 = 5
8 = k / 5
8 * 5 = k ; k = 40
Hence, expression becomes :
y = 40 / x^1/3
A) For the equation

, the slope is

.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if

, the slope is

.
B) Since this equation is in the same form, you just find what m is equal to.
Since

, that's the slope.
For the solution, set

equal to

, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
Width = 7cm
Length = 13cm
<u>Explanation:</u>
Area of rectangle = 
Let width of the rectangle = b ,
So, length = b+6
Area of rectangle = (length X width) - eqn 1
Putting the value of length and width in above equation 1,

On solving the quadratic equation we get,
b = 7cm
So, width (b) = 7cm
and length = 7+6
l = 13cm
Hence,
Width = 7cm
Length = 13cm
Answer:
F (force of gravity) = M (mass of an object) × G (acceleration due to gravity)
Step-by-step explanation:
Force of gravity (F) = Mass (M) × Gravitational acceleration (G)
The weight of an abject is equal to its gravitational force!
What you want to do in dilation is multiply the side(s) by the scal factor to get the measurements of the new shape. in this case multiply 8 by 3.6 to get the new side length of 28.8