Expand the square: 4(x-11)^ =25
4(x-11)(x-11)=25
Distribute : 4(x-11)(x-11)=25
4(x(x-11)-11(x-11))=25
Distribute: 4(x(x-11)-11(x-11))=25
4(x^-11x-11(x-11))=25
Solution: x=17/2
x=27/2
hope that helps
For (A.) Get a common denominator, 40/12 - 9/12 = 31/12 or (2 and 7/12)
For (B.) Get a common denominator, 24/15 - 10/15 = 14/15 (Simplified)
For (C.) Get a common denominator, 51/30 - 25/30 = 26/30 or (13/15)
For (D.) Get a common denominator, 14/6 - 9/6 = 5/6 (Simplified)
Hope this helps!
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Answer:
Step-by-step explanation:
Given
Required
Fill in the gap to produce the product of linear expressions
Split to 2
Factorize the first bracket
Represent the _ with X
Factorize the second bracket
To result in a linear expression, then the following condition must be satisfied;
Subtract b from both sides
Multiply both sides by 5
Substitute -15 for X in
The two linear expressions are 
and 
Their product will result in
<em>Hence, the constant is -15</em>
Answer:
(C)
Step-by-step explanation:
20 for each day=20x
4 for hot dogs sold=4x
20x+4x
(C)
Let the difference between consecutive terms be D. If the middle term is 30, then the term before it is 30-D, and the term after it is 30+D. So the sum of these three terms would be (30-D) + 30 + (30+D) = 3*30.
Extending this sum to include all 11 terms centered around 30, we see that any addition of D is canceled by a balanced subtraction, leaving you with 11 copies of 30. So the value of the sum is 11*30 = 330.
