Answer:
The probability that a randomly placed point falls within the smaller, inner circle is 25/64
Step-by-step explanation:
The remaining part of question is attached
Solution
The area of smaller circle is

The area of large circle is

Area of the shaded region
Area of large circle - area of small circle

Probability that the point falls in the region of smaller circle is

Hi there!
You get 3(x-8) all over 4.
Hope this helps !
Answer:
In order to have a consistent linear system represented by the augmented matrix:
![\left[\begin{array}{ccc}2&-3&h\\-6&9&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%26h%5C%5C-6%269%265%5Cend%7Barray%7D%5Cright%5D)
the value of h must be:

Step-by-step explanation:
A system is consistent if it has a solution, this solution can be unique or a set of infinite solutions.
First, you take the augmented matrix and find the equivalent row echelon form using Gaussian-Jordan elimination:
To do this, you have to multiply the 1st row by 3 and add it to the 2nd row, the resulting matrix is:
![\left[\begin{array}{ccc}2&-3&h\\0&0&5+3h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%26h%5C%5C0%260%265%2B3h%5Cend%7Barray%7D%5Cright%5D)
Now, write the system of equations:

The only way this system has a solution is if 5+3h=0, then, to satisfy this, the value of h must be:

Answer:
Your answer is 3x = 15
Step-by-step explanation:
3x = 15
Since 3 is being multiplied by x, we divide both sides by 3. 3x/3 cancels out, and you're left with x.
15/3 = 5
x = 5
This is my take using algebraic methods.