Answer:
20
Step-by-step explanation:
t=1
u=2
t+8+u+8+1=1+8+2+8+1=20
We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.
Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.
x - 1 = 0 gives us x = 1.
x + 1 = 0 --> x = -1.
x - 4 = 0 --> x = 4.
x + 3 = 0 --> x = -3.
our roots are x = 1, -1, 4, and -3.
6 treats in each bag.
First, since there were 3 batches of 24 treats, multiply 3 by 24 to get the total amount of treats
3•24=72 treats in total
Next, divide 72 by 12 to get how many treats will go in each bag.
72/12= 6 treats in each bag.
Next,
Just move the point Once to right, and up 5 times
We are given
ax = 6.91
ay = 1.45
bx = 2.45
by = 7.02
So,
tan a→ = 1.45/6.91 = 0.2098 = ma
tan b→ = 7.02/2.45 = 2.8653 = mb
To get the angle between the two
tan θ = (mb - ma)/(1 + ma mb)
tan θ = (2.8653 - 0.2098) / (1 + (2.8653) (0.2098) )
θ = 58.91°
The x component is
x = 8.28 cos 58.91 = 4.28 m
The y component is
y = 8.28 sin 58.91 = 7.09 m