Answer:
Mutley would start at 2 feet above sea level or +2, he would then travel 12 feet below sea level (-12) to then return to the surface of the ocean (0). The integers from least to greatest: -12, 0, 2. Visual:
-12(dive level) * * * * * * * * * * * 0(sea level) * 2(boat)
Step-by-step explanation:
Using positive and negative integers, we can determine Mutleys journey above, below and at the surface of the ocean. The surface of the ocean represents his 'origin' or starting point, which is 0. The boat is above the surface or +2. When Mutley dives below the surface, he is at a negative level of the ocean. Think of it in terms of a number line - negative numbers are to the left of 0 and positive numbers are to the right of 0. The further we go to the left on the number line, the lower our number. In this case, -12 would be furthest to the left, then 0, followed by 2.
One mile equals 5,280 feet, therefore you would multiply 12 x 5,280 which is 63360 feet per hour.
Answer: (3b + 5)(3b - 5)
Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.
The square root of 9b² is 3b (3b × 3b = 9b²).
The square root of 25 is 5 (5 × 5 = 25).
9b² - 25 has a negative, so the factored expression would be
(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the expression, 9b² - 25, has no middle term.
You can check your work by using FOIL. See the attachment below.
F irst
O utside
I nside
L ast
Answer:
c = -13.78.
Step-by-step explanation:
21.2x + c ≡ 5.3(4x - 2.6)
21.2x + c ≡ 21.2x - 13.78
Equating constant terms:
c = -13.78.
