The three interior angles of a triangle make a sum of 180
2+4+6=12 there are 12 shares, each share is 180/12=15
so the angles are: 30, 60, 90
Answer:
x=-1 y= -5
Step-by-step explanation:
y = – x – 6
y = x – 4
Substitute into y = -x-6 into the second equation
y =x-4
-x-6 = x-4
Add x to each side
-x-6+x =x-4+x
-6 =2x-4
Add 4 to each side
-6+4 =2x-4+4
-2 = 2x
Divide by 2
-2/2 =2x/2
-1 = x
Now find y
y =-x-6
y = -(-1) -6
y =1-6
y = -5
Answer:
y = -2(x+2)(x-1)/((x+3)(x-6)) = (-2x^2 -2x +4)/(x^2 -3x -18)
Step-by-step explanation:
A polynomial function will have a zero at x=a if it has a factor of (x-a). For the rational function to have zeros at x=-2 and x=1, the numerator factors must include (x+2) and (x-1).
For the function to have vertical asymptotes at x=-3 and x=6, the denominator of the rational function must have zeros there. That is, the denominator must have factors (x+3) and (x-6). Then the function with the required zeros and vertical asymtotes must look like ...
f(x) = (x+2)(x-1)/((x+3)(x-6))
This function will have a horizontal asymptote at x=1 because the numerator and denominator degrees are the same. In order for the horizontal asymptote to be -2, we must multiply this function by -2.
The rational function may be ...
y = -2(x +2)(x -1)/((x +3)(x -6))
If you want the factors multiplied out, this becomes
y = (-2x^2 -2x +4)/(x^2 -3x -18)
Answer:
6
Step-by-step explanation:
g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.
Let's find the value of f(0).
f(x)= x²
f(0)= 0²
f(0)= 0
Now, we can find the value of g(f(0)).
g(x)= x +6
g(f(0))
= g(0)
= 0 +6
= 6
A expression people say to express gratitude.