Answer:
11
Step-by-step explanation:
The lines on the outside simply means "absolute value". This just takes any negative number and makes it positive. In this case, 15-4 is already positive so the answer is just positive 11.
Answer: True, angles that are congruent are equaled to each other
1) 2m+6 / m² + 7m - 12 + (m+2)/(m+4)
= 2(m+3) / (m+4)(m+3) + (m+2)/(m+4)
= 2/(m+4) + (m+2)/(m+4)
= 2+m+2 / (m+4)
= m+4 / m+4
= 1 [ Option A ]
Answer 2) 3/ (x+4) + 7/ (x-3)
= 3(x-3) + 7(x+4)/ (x² +x - 12)
= 3x-9 + 7x + 28 / (x² +x - 12)
= 10x + 19 / (x² +x - 12) [ Option A ]
Hope this helps!
Answer:
X= -5
Step-by-step explanation:
- You must move all constants to one side of the equation (one side of the equal sign) and away from 2x. To do so, you must do the inverse operation, which would be subtraction in this case because 3 is a positive number. (Inverse of addition is subtraction, Inverse of subtraction is addition, Inverse of multiplication is division, and inverse of division is multiplication) If you squish a constant and variable together (2x) it means multiplication.
- What you must do to one side, you must do to the other. So, since you subtracted 3 from the 3, you must subtract 3 from -7, too(subtracting from a negative is just addition- but you keep the negative sign). Once this is done, your equation will be 2x=-10
- Now, you must do the inverse operation to 2x to separate the 2. The inverse operation will be division. So, you divide both sides by 2. 2x divided by 2 will give you x. -10 divided by 2 will give you -5. (When you divided negative and positive numbers, the signs are different, meaning it's negative. If they had the same sign, it would be positive.)
- Therefore, your answer is x= -5
Hope I helped! :)
Sorry about the whole dang essay lol
(12x^3-4x^2+8x)/(-2x) The greatest common factor of the numerator and denominator is -2x so upon division by GCF of both numerator and denominator you have:
-6x^2+2x-4 and we can now also factor out -2
-2(3x^2-x+2)
