Answer:
(-4, 2)
Step-by-step explanation:
By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.
Answer:
b=9.
Step-by-step explanation:
Answer:


Step-by-step explanation:
Given: See Attachment
Required
Determine the length of the legs
To do this, we apply Pythagoras theorem.

In this case:

Open Bracket



Collect Like Terms


Solving using quadratic formula:

So:
or 
Since, x can't be negative, then:

One of the leg is:






Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere = 
Where r = radius of the sphere =
units
36π = 
36π = 
36×24 = 4x³
x = ![\sqrt[3]{\frac{36\times 24}{4} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B36%5Ctimes%2024%7D%7B4%7D%20%7D)
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
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