First you divide everything by 4 which will become b^2+2b-3=0
Then you can factor this which is
(b-1)(b+3)=0
B=1
B=-3 ... I think that's how you do it
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Answer:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Im sorry i do not know the answer but i hope you have a wonderful day and never give up on things i almost gave up on a test i said i cant do it but i did i know this might sound pufft yeah sure its fake well its not
Answer:
<h2>A</h2>
Step-by-step explanation:
The complete question is
What is the length of leg y of the right triangle?
A right triangle with hypotenuse 26 and legs 24 and y
We need to use the Pythagorean Theorem, where 
and 
,
Therefore, the right answer is A. The length of the missing leg is 10 units.
