x²-3
Step-by-step explanation:
The expression given is;
6x²-18
Finding the greatest common factor of the terms and simplifying the expression will be;
Divide the terms by 6 to get;
x²-3
Graphing the expression to find the area model will be as attached;
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Factorizing expressions:brainly.com/question/12290978
Keywords : factor, greatest common factor, terms, area model
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To factor out you have to think what multiples to AC and adds to B.
Ax^2+Bx+C
So... for this problem AxC=1x-24 or -24
B is -2.
So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.
Out of these, which adds to -2: -6+4=-2.
So the factors are (d-6)(d+4)
OR the longer way, which you really only use if A is not equal to 1.
Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24
Group the terms by using addition: (d^2+4d)+(6d-24)
Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.
For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)
If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.
The two terms outside the parenthesis: d, -6 group together and become (d-6)
The inside terms stay the same: (d+4)
(d-6)(d+4)
Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.
Answer: 
Step-by-step explanation:
When two lines cross each other , then the opposite angles are known as vertical angles.
Vertical angles are equal.
Here, ∠A and ∠B are vertical angles.
So, ∠A = ∠B
If 
and 
Then , 
Subtract 5x from both sides, we get
Add 11 on both sides, we get
Now , 
Hence, the measure of
Answer:
4.472135955 , is the answer. simplified to two decimal places it will be 4.47
Answer:
6 grapes.
Step-by-step explanation:
If she already had 9 grapes, subtract 15 and 9 to get 6.
