The number of ways is given directly using the formula:
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.
Answer:
C. the graph of g(x) is shifted 3 units up.
Step-by-step explanation:
The statement that compares the graph of g(x) with the graph of f(x) is that the graph of g(x) is shifted 3 units up.
If we have the equation:
G(x) = F(x) + 3
Then, the graph of G(x) will be composed of points 3 units above the graph of F(x).
Conversely, the difference between F(x) and G(x) at any particular value of x will always be 3.
Answer:
y = -1/5x + 8
Step-by-step explanation:
Scalene just means all the angles are different. Not particularly helpful; we'll check at the end.
Obtuse is bigger than 90, so this will be the biggest angle in the triangle, let's call it A. A>90 degrees.
B=56 degrees.
C is the smallest angle. It will be smaller than B, since A is obtuse.
The two equations we can write are
A = 3C
A+B+C=180
3C + 56 + C = 180
4C = 124
C = 31
A = 3(31) = 93
Check:
31 + 93 + 56 = 180, good
all three different, scalene, good
93 is obtuse, good
Answer: Triangle has angles 31°, 56°, 93°
First you distribute, you will be left with 8s-12=3s+1
then you will add 12 on each sides, and subtract 3s on each side, you'll be left with 5s=11 then you will divide by 5 on each sides s=2.2