Answer:
A
Step-by-step explanation:
|-5 - 4|
The expression represents the absolute value of - 5 - 4 ;
-5 - 4 = - 9
|-5-4| = 9
Hence, the distance between the two points is 9.
Hence, the number line which shows the two points is A.
Answer:
B
Step-by-step explanation:
She gave them 24 dozens. To answer, you multiply 12x12 which equals 144. Then divide that by 6 and you get 24
An = A1 + (N-1)d
A1 is the first term (in this case 2)
d is the common difference (what is the difference between all consecutive even numbers? 2)
N is the number of terms to find (in this case 29)
An = 2 + (29-1)2 = 58
I would say none of the above, unless you typed it wrong. The sum is the product of the number of terms minus one and two, plus two more. So it's almost answer B but not really. Good luck with this one.
Answer:
Third option.
Step-by-step explanation:
You need to cube both sides of the equation. Remember the Power of a power property:

![\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%5C%5C%5C%5C%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%29%5E3%3D%283x%5E2y%28%5Csqrt%5B3%5D%7B6y%5Ed%7D%29%29%5E3%5C%5C%5C%5C162x%5Ecy%5E5%3D27x%5E6y%5E36y%5Ed)
According to the Product of powers property:

Then. simplifying you get:

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:
