After multiplying by the stated coefficients and adding, the equation obtained is:
8y - 7.5y = 0
y = 0
x = 4
Because the two equations formed were independent, they had one solution.
<span>Supplementary angles are two angles that add to 180 degrees.
The equation is </span><span>4x + 5x = 180.
(combine like terms and simplify) 9x=180
180/9=20
so x = 20
So that would mean 4x= 80.
The smaller angle is equal to 80. Since supplementary angles add up to 180, you have a clue as to what the larger angle measures to.
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Step-by-step explanation:
The simplest possible form of f(n) is:
f(n) = n² + bn + c
f(n) / (n + 1) has a remainder of -12, so:
n² + bn + c = (n + p) (n + 1) − 12
n² + bn + c = n² + (1 + p)n + p − 12
b = 1 + p and c = p − 12
f(n) / (n + 2) has a remainder of -24, so:
n² + bn + c = (n + q) (n + 2) − 24
n² + bn + c = n² + (2 + q)n + 2q − 24
b = 2 + q and c = 2q − 24
Setting the expressions equal:
1 + p = 2 + q and p − 12 = 2q − 24
1 = p − q and p = 2q − 12
Solving the system of equations:
1 = q − 12
q = 13
p = 14
b = 15, c = 2
Therefore, f(n) is:
f(n) = n² + 15n + 2
Using grouping:
f(n) = n² + 3n + 2 + 12n
f(n) = (n + 1) (n + 2) + 12n
f(n) / ((n + 1) (n + 2) = 1 + (12n) / ((n + 1) (n + 2))
The remainder is 12n.
Answer:
The quotient is 345.5
Step-by-step explanation:
Check image
Hello,
(x/(1/3))²-(y/(1/2))²=1 is an hyperbola.
y=0==>x=1/3 or x=-1/3 (-1/3,0) and (1/3,0) are x -intercepts
There are no reals y-intercepts.[(0,-i/2) and (0,i/2)]
