Answer:
D.
Step-by-step explanation:
(4 x 8) + (4 x 3)=44
4 x (8 + 3)=44
Answer: Original Price: $5
Step-by-step explanation:
x+0.2x=6
1.2x=6
x=5
Original Price: $5
Answer:
(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12)
Step-by-step explanation:
Given:
Polynomial 27a^3 b^9+8c^18
Factoring the given polynomial
27a^3b^9 can be written as
=3^3.a^3.b^3^3
=(3ab^3)^3
Also 8c^18 can be written as
=2^3.c^6^3
=(2c^6)^3
Hence Polynomial 27a^3 b^9+8c^18 can be written as
=(3ab^3)^3+(2c^6)^3
Applying sum of cubes formula i.e. a^3 + b^3=(a+b)(a^2 – ab + b^2)
=(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12) !
Answer: 55/126
Step-by-step explanation:
For this equation, the easiest way to solve is to change the denominators, or bottom halves, of both fractions to be the same thing. The easiest way to do this is to multiply themselves with a “funny form” of one. A funny form of one is just a way of representing “1” with numbers that aren’t 1. “2/2” is a funny form of one. log(x)/log(x) is a funny form of one, etc..
(3/7)x(9/9)=27/63
(4/9)x(7/7)=28/63
These fractions are very close. If you are willing to settle for an unsimplified fraction, the answer here would be 27.5/63. If you aren’t willing to settle for the unsimplified form, we can multiply both fractions by a funny form of one again, most easily 2/2, and find the median of the two fractions.
(27/63)x(2/2)=54/126
(28/63)x(2/2)=56/126
The median of these two fractions is 55/126.
55/126 is exactly halfway between 3/7 and 4/9.
We have given
hypotenuse=<span>6√2
let us suppose leg =a
using Pythagorean theorem
a^2+a^2=(</span><span>6√2)^2
</span>2a^2=36*2
diving by 2 on both sides
a^2=36
taking square root on both sides
√a^2 =<span>√36
a=6
therefore
</span><span>the leg of each isosceles right triangle is 6</span>
