First you need to factor the problems by using a couple of different methods, but the easiest could be the factor tree:
for example with 4-6a
you would put 4 = 2•2 so 2 is it’s GCF
and 6= 3•2 so 3 is it’s GCF
however the question is asking for the combined GCF (meaning the whole problem)
so 4-6a’s GCF would be 2 considering it is the only greatest common factor between BOTH numbers
for 12a^2 - 8a you would use the same method:
12a^2= 3a•2a•2 and 3a is it’s GCF
8a = 2•2•2a and 2a is it’s GCF
but combined, the greatest factor BOTH numbers have in common is 2a, so 2a is the answer!
i hope i helped you :)!❤️
C + t = 75......c = 75 - t
6c + 3t = 312
6(75 - t) + 3t = 312
450 - 6t + 3t = 312
-6t + 3t = 312 - 450
-3t = - 138
t = -138/-3
t = 46 <=== 46 cups of tea were sold
c = 75 - t
c = 75 - 46
c = 29 <=== 29 cups of coffee
Answer:
a) rational
b) irrational
Step-by-step explanation:
a) 36 = 6²
So sqrt(36) = 6
b) 72 = 2 × 36
sqrt(72) = sqrt(2) × sqrt(36)
Since 2 is not a perfect square, sqrt(72) is irrational
Answer:
Step-by-step explanation:
Midpoint: (0,3)
Endpoint: (6,-3)
Use the midpoint formula:
Since you already have the midpoint and you need an endpoint, let the unknown endpoint be (x,y). Take the midpoint formula apart:
and 
are the coordinates of the midpoint. Enter the known values of the midpoint into the equations:
Now enter the known endpoint values:
Solve for x. Multiply both sides by 2:
Subtract 6 from both sides:
Now solve for y. Multiply both sides by 2:
Add 3 to both sides:
Now take the values of x and y and turn into a point:
Finito.
Answer:
x = 8/3
Step-by-step explanation:
Step 1: Write equation
5 = 3x - 3
Step 2: Solve for <em>x</em>
- Add 3 to both sides: 8 = 3x
- Divide both sides by 3: 8/3 = x
- Rewrite: x = 8/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5 = 3(8/3) - 3
5 = 8 - 3
5 = 5
