Answer:
900 miles.
Step-by-step explanation:
By proportion 4.5 inches represents 200 * 4.5 = 900 miles.
Answer:
x = -7
Step-by-step explanation:
4 ( 2x+14) =0
Divide by 4
2x+14 = 0
Subtract 14 from each side
2x = -14
Divide by 2
2x/2 = -14/2
x = -7
The diagonals are perpendicular to each other.
The right triangle has half of each diagonal as sides, so the hypotenuse or side length is Sqrt(9^2 + 12^2) = 15.
Hint: a 3,4,5 sided triangle is the smallest integer right triangle. Doubling or tripling, etc. is still a right triangle. So when I saw the 9,12, I knew that 15 was the hypotenuse.
Answer:
2 solutions 3 (-2 z + 1) and 3 (1 - 2 z)
Step-by-step explanation:
Left side
Simplify the following:
-8 z + 3 + 2 z
Grouping like terms, -8 z + 3 + 2 z = (2 z - 8 z) + 3:
(2 z - 8 z) + 3
2 z - 8 z = -6 z:
-6 z + 3
Factor 3 out of -6 z + 3:
Answer: 3 (-2 z + 1)
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Right side
Simplify the following:
-6 z - 4 + 7
Grouping like terms, -6 z - 4 + 7 = (7 - 4) - 6 z:
(7 - 4) - 6 z
7 - 4 = 3:
3 - 6 z
Factor 3 out of 3 - 6 z:
Answer: 3 (1 - 2 z)