A^2 + b^2 = c^2
9^2 + b^2 = 15^2
81 + b^2 = 225
225 - 81 = b^2
144 = b^2
square root of 144 = 12
b = 12
H(c)=6.4+0.6c
6.4 is the constant
when the height of the cups is 18.4 the function is:
18.4=6.4+0.6c
then you subtract 6.4 from both side to get:
18.4 - 6.4=6.4 + 0.6c - 6.4
12=0.6c
c= 12/.6
c=20
plzzz mark brainiest
We are asked to solve the equation 2x³ - 32x = 0. First off, we can see that the variable x appears in both terms on the left-hand side of the equation. Therefore, we can factor it out. We can also factor out a common factor of 2 from both terms.
2x³ - 32x = 0
2x(x² - 16) = 0
We can use the difference of squares pattern to further simplify the equation.
2x(x + 4)(x - 4) = 0
Now, using the Zero Product Property, set each term to zero.
2x = 0
x = 0
x + 4 = 0
x = -4
x - 4 = 0
x = 4
Therefore, the solutions to the equation 2x³ - 32x are 0, -4, and 4. Hope this helped and have a great day!
The general term for the sequence is n+2.
The answer would be
d -51