I got 37....because 180 - 143 = 37.....
First one:
(3x^2+5y^2)^3
Step 1: Use the binomial theorem to expand
(3x^2)+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)2+(5y^2)^3
Step 2: Simplify each term
27(x^2)^3+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
Step 3: Multiply the exponents
27x^6+27x^4(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
27x^5+135x^4y^2+3(3x^2)(5y^2)^2+(5y^2)^3
Keep going to get the final answer:
27x^6+135x^4y^2+225x^2y^4+125y^6
2nd question: (2y^3-5x)^2
Do the same thing...step by step
Answer: 4y^6-20xy^3+25x^2
Answer:
√
17
The result can be shown in multiple forms.
Exact Form:
√
17
Decimal Form:
4.12310562
Step-by-step explanation:
(Use the distance formula to determine the distance between the two points.)
First, substitute the actual values of the points into the distance formula.
Then, just simplify
Don't take my word for it. Hope this helps :)
Answer: number 14 is 30.78 x 10 to the exponent of 11
Step-by-step explanation:
you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.
Answer:
C
Step-by-step explanation:
Recall the equation for a circle:
, where the center is (h,k) and the radius is r.
The given equation is:
Another way to write this is:
Thus, we can see that h=-5 and k=-7.
The center is at (-5, -7).