I think this is right (x-2)(2x+y)
Answer:
The vertex of the graph is located at the point (3,6)
Step-by-step explanation:
Here, we want to know where the vertex of the equation if plotted will be
To get this, what we have to do is to equate the expression that we have in the absolute value to zero
After this, we then proceed to solve for the value of x
We have this as;
x -3 = 0
hence;
x = 0 + 3
x = 3
to get the y-value of the vertex, we look at the value at the side of the absolute value
This value is 6 and thus, the y-value of the vertex point is 6
So the coordinates of the vertex is (3,6)
Cross multiply or just multiply both sides by 24
24x/6=36
4x=36
divide both sides by 4
x=9
81 a² - 25
is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
Step-by-step explanation:
The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs
- a² - b² is a difference of two squares
- a² - b² = (a + b)(a - b)
∵ The binomial is 81 a² - 25
∵
= 9
∵
= a
∴ 
∵
= 5
∵
= z³
∴ 
- The two terms have square root
∵ The sign between them is (-)
∴ 81 a² - 25
is a difference of two squares
∵ Its factorization is two identical brackets with different
middle signs
∵ 81 a² = 9a × 9a
∵ 25
= 5z³ × 5z³
- The terms of the two brackets are 9a and 5z³
∴ 81 a² - 25
= (9a + 5z³)(9a - 5z³)
81 a² - 25
is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)
Learn more:
You can learn more about the difference of two squares in brainly.com/question/1414397
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The answer is C.
You want:
10 < a < 14 (greater or equal)
The difference between 10 and 12 is 2.
The difference between 12 and 14 is 2.
Therefore the absolute value allows you to express that the difference between a and 12 cannot be greater than 2 (either going up to a max of 14 or going down to a minimum of 10).