Simplifying
3m = 5(m + 3) + -3
Reorder the terms:
3m = 5(3 + m) + -3
3m = (3 * 5 + m * 5) + -3
3m = (15 + 5m) + -3
Reorder the terms:
3m = 15 + -3 + 5m
Combine like terms: 15 + -3 = 12
3m = 12 + 5m
Solving
3m = 12 + 5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-5m' to each side of the equation.
3m + -5m = 12 + 5m + -5m
Combine like terms: 3m + -5m = -2m
-2m = 12 + 5m + -5m
Combine like terms: 5m + -5m = 0
-2m = 12 + 0
-2m = 12
Divide each side by '-2'.
m = -6
Simplifying
m = -6
Answer:
D. The graph of g(x) is the graph of fix) translated to the left 7 units and up 9 units
Step-by-step explanation:
The transformation of f(x) to g(x) ...
g(x) = a·f(b·x -c) +d
involves ...
- vertical expansion by a factor of "a"
- horizontal compression by a factor of "b"
- translation to the right by "c" units
- translation up by "d" units
Here, you have a=b=1, c=-7, d=9, so the graph of f is translated left 7 units and up 9 units to make the graph of g.
Answer: 1, 3, and 4 can form triangles. The rest can not.
Step-by-step explanation:
on triangles 1, 3, and 4, the 2 smaller sides added together are greater than the longer side.
Answer:
E.
Step-by-step explanation: Unless you accidentally swapped the 5 and 4 around for D, then the answer is just E.
23000 which is it in scientific notation
