Answer:
12
Step-by-step explanation:
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Answer:
The wall is 3 ft high and 5 ft long.
Step-by-step explanation:
Recall: Area of the rectangular wall is A = (length)(height).
Let the height be represented by h. Then the length is represented by h + 2.
The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.
Let's solve this last equation for h using completing the square:
h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16. Taking the square root of both sides, we get:
h + 1 = ±4, which is equivalent to h = 3 and h = -5. Discard the negative result. Then h = 3 and w = 3+2 = 5.
The wall is 3 ft high and 5 ft long. Its area is (3 ft)(5 ft) = 15 ft²
Answer:
The solution is (15, 11) There is only one solution.
Step-by-step explanation:
Solve this system using substritution. In the second equation replace x with 2y - 7, obtaining:
4(2y - 7) + y = 71, which simplifies as follows:
8y - 28 + y = 71, or
9y = 99. then y must be 11. If y is 11, then x = 2y - 7, or x = 2(11) - 7 = 15
The solution is (15, 11) There is only one solution.
Answer:
11.46 meters
Step-by-step explanation:
12min 30sec = 12.5min
55km/h * 12.5min * 1h/60min = 11.4583333333meters
Answer:
914 and 916
Step-by-step explanation:
let the first integer be x
The next largest consecutive even integer is hence x+2
given that the 2 integers add up to 1830,
x + (x+2) = 1830
2x + 2 = 1830
2x = 1828
x = 914
Hence the first number is 914
the second number is 914 + 2 = 916
Check Answer:
914 + 916 = 1830 (verified)
