Answer: y = -2/3x + 5/3
Step-by-step explanation:
- The slope of a perpendicular line is opposite reciprocal --> -2/3
- Using point given (-2, 3), find b.
- 3 = -2(-2/3) + b
- 3 = 4/3 +b
- 5/3 = b
If you would like to solve a^(-5)b^(-4) / a^(-13)b^8, you can do this using the following steps:
a^(-5)b^(-4) / a^(-13)b^8 = a^13 / a^5b^4b^8 = a^8 / b^12
The correct result would be c. a^8 / b^12.
The answer would 9 cm. All of the given choices are wrong
since the measurement maybe too big or too small. Like for 9 millimeter, it
would be too small for a clothespin. While 9km is too big for a clothespin,
there is no such thing as a 9km clothespin. While 9 m is also too big. The
approximate size of a clothespin is 3 inches, when we convert it to cm, it will
be 7 cm. So 9 cm is a best approximate.
Answer:
6x-6
Step-by-step explanation:
The Distributive property says that a(b+c) = ab+ac
In my example you distribute the value on the outside to the things on the inside
In your problem you have a two on the outside that needs to be distributed to a 3x and a -3
1) 2 multiplied by 3x equals 6x giving you the first part of your answer!
2) 2 multiplied by -3 equals -6 giving you the second part of your answer!
Don't forget that there is a - sign between the 3x and 3, don't drop it!
Put the two values together to get 6x-6
Let me know if you have any further questions :)
Answer:
((2 x + 1) (4 x^2 - 2 x + 1))/8
Step-by-step explanation:
Factor the following:
x^3 + 1/8
Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:
(8 x^3)/8 + 1/8
(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:
(8 x^3 + 1)/8
8 x^3 + 1 = (2 x)^3 + 1^3:
((2 x)^3 + 1^3)/8
Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):
((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8
1^2 = 1:
((2 x + 1) ((2 x)^2 - 2 x + 1))/8
Multiply each exponent in 2 x by 2:
((2 x + 1) (2^2 x^2 - 2 x + 1))/8
2^2 = 4:
Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8
