A signle system of linear equations has infinitely many solutions.
Two identical systems of linear equations have infinitely many solutions.
Two systems of linear equations has just one solution.
Two systems of <em>parallel</em> linear equations will has no solutions.
We have two systems of linear equations.
Let's see if they are parallel.
Parallel lines have the same slope.
We'll see if they do by converting to slope-intercept form.
(this will also let us know if they are identical)
1st Eqn.
3x - 9y = 0
Keep y on the left, x and the constant on the right...
-9y = -3x + 0
Divide by the y coefficient.
y = 1/3x + 0
2nd Eqn.
-x + 3y = -3
Keep y on the left, x and the constant on the right...
3y = x - 3
Divide by the y coefficient.
y = 1/3x - 3
As you can see, the two equations have the same slope! (1/3)
Because of this, they are parallel.
And they are not identical because the y-intercepts are different.
There are no solutions to this system of equations.
A composite number is a number that can be divided evenly by numbers excluding 1 and itself.
29 is a prime number because it is divisible by only one and itself, so A is not the correct answer.
29/29 = 1 | 29/1 =29
13 is a prime number because it is divisible by only one and itself, therefore, B is not the correct answer.
13/13=1 | 13/1=13
91 is a composite number because it is divisible by 1, 7, and 91.
Hope this helps! :)
You can just use a calculator but it’s 65.23
Answer:
b. 57
Step-by-step explanation:
AO and BO are both radii, so they're congruent, and it's an isosceles triangle. Therefore, angle A and angle B must be congruent, so we can write the equation x+x+66=180, solving for x gives us 57
Let x = your number.
6x = x^2 - 27. Subtract 6x from each side.
0 = x^2 - 6x - 27. Factor
0 = (x-9) (x+3). Set each term equal to zero
(x+3) = 0. Subtract 3 from each side.
x = -3. This is the negative solution.
(x-9) = 0. Add 9 to each side.
x = 9. This is the positive solution.