Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches
Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;
The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.
Therefore with the perimeter given as 27, we now have the expression;
s + s + 4 + s + 5 = 27
3s + 9 = 27
Subtract 9 from both sides of the equation
3s = 18
Divide both sides of the equation by 3
s = 6
Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,
6 inches, 10 inches and 11 inches.
Answer:
They will always intersect at one point
Step-by-step explanation:
^^
Multiply 14 (the price of gas in 2000) by 19.9% (the price as a percentage of the 2000 price). 14 times 0.199 is 2.786. Therefore, it would cost $2.79 to fill the same gas tank in 1960.
Not 100% sure if this answer is correct, but this is what I got.
| 5x - 6 | = -41....no solution because an absolute value cannot be negative
|7x + 13 | = 27
7x + 13 = 27 -(7x + 13) = 27
7x = 27 - 13 -7x - 13 = 27
7x = 14 -7x = 27 + 13
x = 14/7 -7x = 40
x = 2 x = -40/7
so basically, equation 1 has no solution and equation 2 has 2 solutions