What is the solution to the system of equations?
1 answer:
<h2>Answer:</h2>
The first equation can be rearranged by subtracting <em>y</em> from both sides. This gives you x = 4 - y.
The second equation is x = y - 1
Therefore, as both equations are equal to <em>x</em>, you can say that they are equal to each other, so 4 - y = y - 1.
If you add 1 to each side, you get 5 - y = y
If you add <em>y</em> to each side, you get 5 = 2y
Divide both sides by 2 to get y = 5/2
Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1
x is therefore 3/2
This can be written as , which is the final answer.
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Hello there,
Okay well first we right down what we already know:
- volume of 2,355 cubic inches
- the height is 10 inches
Now we write down the equation for the volume of a cone: V = πr²
- lets plug in what we know into the equation
2,355 = πr²
- now we simplify to solve for r
2,355 / 10/3 = 706.5 = πr²
706.5/π = r²= 224.89
- now since its r² we take the square root of 224.89
r = 15 inches
- for diameter we multiply 15 by 2
diameter = 30 inches
Hope I helped,
Amna