Hi!
In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF.
So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have.
45: 1, 3, 5, 9, 15, and 45
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
It looks like the GCF is 9. Now we have to divide 45 and 72 by 9.
45 ÷ 9 = 5
72 ÷ 9 = 8
So the correct answer should be:
![\frac{45}{72} = \frac{5}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B45%7D%7B72%7D%20%3D%20%20%5Cfrac%7B5%7D%7B8%7D%20%20)
Hope this helps :)
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
Answer
The difference is -5
Because
In the number line
-3 is in the negative side and
2 is in the positive side
So difference means minus
So,
-3-2
=-5
Remember
- - = + (but the answer should have - sign)
- + = - (the greatest number's sign will be taken)
++ = -
+ - = -
Picture of the answer added just to make you sure
Answer:
![g(x) = \frac14x^2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac14x%5E2)
Step-by-step explanation:
Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.
To find it, we use the given point of g, (2,1)
So g(2) = 1
meaning that
a·2² = 1
4a = 1
a = 1/4