You can use the Pythagorean theorem to solve this problem. 3 miles west would be 3 units to the left on a graph, and 4 miles north would be four units up on a graph. The last line would be the hypotenuse. Now, if you know about special right triangles, then it can be recognized that the triangle is a 3-4-5 triangle, and the hypotenuse is 5 units. Otherwise, the Pythagorean theorem can be used.
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
sqr 25=sqr c^2
5=c
Answer:
D
Step-by-step explanation:
Answer:
30 x^4 - 20 x^3 + 15 x^2 is the only valid one however it's not the best simplification.
Step-by-step explanation:
Simplify the following:
-5 x^2 (-6 x^2 + 4 x - 3)
Hint: Factor a minus sign out of -6 x^2 + 4 x - 3.
Factor -1 out of -6 x^2 + 4 x - 3:
-5 x^2×(-(6 x^2 - 4 x + 3))
Hint: Multiply -5 and -1 together.
-5 (-1) = 5:
Answer: 5 x^2 (6 x^2 - 4 x + 3)
The ratio, r, is 20 - 13 = 27 - 20 = 34 - 27 = 7;
The nth term has the formula: an = a1 + (n-1) x r; where, a1 = 13 and r = 7;
Then, an = 13 + (n-1) x 7;
Finally, an = 13 + 7 x n - 7;
an = 7 x n + 6;