Answer:
1
Step-by-step explanation:
m=2
3m²- 2m- 7
3(2)² -2(2) -7
3(4)- 4- 7
12- 4- 7= 1
2*27= 54 which is an even number, not a perfect square, odd or prime. The prime factorization would be 2*3^3
B, Even
9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
The goal is to get m alone on one side of the equals and to get things not m on the other. With two m terms on the left it looks fine, but subtracting one sends it to the other side. Adding it back takes us back to the start.
That's not the way to start. Instead, m and s are put together with multiplying. So are m and t. Let's try instead to get m away from the other variables.
ms + mv = t
m (s + v) = t <--- factor m out as a common factor
m = t / (s + v) < ---- divide both sides by s + v
Thus, 
