Answer:
4(3n+2) or 12n+8
Step-by-step explanation:
Given expression is:
The numerator of the fraction will be multiplied with 9n^2- 4
So, Multiplication will give us:
We can simplify the expression before multiplication.
The numerator will be broken down using the formula:
![a^2 - b^2 = (a+b)(a-b)\\So,\\= \frac{8[(3n)^2 - (2)^2]}{6n-4}\\ = \frac{8(3n-2)(3n+2)}{6n-4}](https://tex.z-dn.net/?f=a%5E2%20-%20b%5E2%20%3D%20%28a%2Bb%29%28a-b%29%5C%5CSo%2C%5C%5C%3D%20%5Cfrac%7B8%5B%283n%29%5E2%20-%20%282%29%5E2%5D%7D%7B6n-4%7D%5C%5C%20%3D%20%5Cfrac%7B8%283n-2%29%283n%2B2%29%7D%7B6n-4%7D)
We can take 2 as common factor from denominator
Hence the product is 4(3n+2) or 12n+8 ..
Answer:
|-45|
Step-by-step explanation:
In mathematics, the absolute value of a real number is the numeric value of the number, regardless the sign, either this is positive or negative.
The absolute value function can be definied as:
- |a|=a si a ≥0
- |a|=-a si a <0
Using this definition, we have:
|-21| = -(-21) = 21
|14| = 14
|30| = 30
|-45| = -(-45) = 45
Therefore, the expression |-45| has the greatest value.
Answer:
D. <B = 141°
Step-by-step explanation:
The <u>sum of interior angles</u> of a polygon is
(n-2)*180, where n is the number of sides!
Sum of angles for our polygon that has 7 sides must be:
(7-2) *180 = 5*180 = 900
Sum of angles that are in the picture are:
120+129+130+142+90+148+ <B = 759 + <B
<B = 900 -759 = 141°
Check our work:
120°+129°+130°+142°+90°+148°+ 141° = 900°✅
Answer:
A , B , C
Step-by-step explanation:
1) find the slope of the given line
slope = (-a/b) = (-8/4) = -2
two parallel lines have the same slope
A : correct
B : (-a/b) = -16/8 = -2 (correct)
C : correct
D : wrong (2 is different from -2)
Answer:
16 ?
Step-by-step explanation:
