Answer:
A theorem is a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
Step-by-step explanation:
Answer:
quotient: 4x^3 -4x^2 -x +6
remainder: 3
Step-by-step explanation:
See the attached for the long division. As with any long division, at each step, the quotient term multiplies the divisor and the result is subtracted to form the new dividend.
N x 2 = 12 + 5n
2n - 5n = 12
-3n = 12
3n = -12
n = -4
Answer:
2(2 +5)
Step-by-step explanation:
We presume you want to rewrite the expression making use of the distributive property. For that, it is helpful to find a factor common to the two terms. The GCD of 4 and 10 is 2, so we can factor that out:
4 + 10 = 2(2 +5)
_____
Of course, you can use any factor you like. It doesn't need to be an integer.
= (1/3)(12 +30)
= 0.4(10 +25)
= 4(1 +2.5)
Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° =
= 
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y =
≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° =
=
= 
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x =
≈ 20.42