Answer:
B: (5, 12)
Step-by-step explanation:
Find the solution of the following system of linear equations:
3x- y=3
y=2x +2
Note that the 2nd equation has already been solved for y. Thus, subbing 2x + 2 for y in the 1st equation is the way to go:
3x - (2x + 2) = 3.
Simplifying, 3x - 2x - 2 = 3, and so x = 3 + 2 = 5.
Subbing 5 for x in the 2nd equation yields y = 2(5) + 2, or y = 12.
The solution is B: (5, 12)
The Space Shuttle's large External Tank is loaded with more than 500,000 gallons of super-cold liquid oxygen and liquid hydrogen, which are mixed and burned together to form the fuel for the orbiter's three main rocket engines.
Answer:
7.6 inches
Step-by-step explanation:
We solve the above question using the Law of Cosines.
The formula is given as:
h² = i² + j² - 2ij Cos H
h = √i² + j² - 2ij Cos H
From the above question:
i = 6.6 inches
j = 6.4 inches
Length h = ?
Angle H=62º.
Hence:
h= √6.6² + 6.4² - 2 × 6.6 × 64 × Cos 62
h = √43.56 + 40.96 - 84.48 × Cos 62
h = 7.64292 inches
Approximately to the nearest tenth, Length h = 7.6 inches
Let's calculate all expenses per month
a) Mortgage $1,255 →→→→→→→→→ = $1,255 per month
b)Taxes $2,881 per year →→ $2,881/12 = $240.083 per month
c) insurance $156 →→→→→→→→→→ =$156 per month
d) HOA fees $320 per year→→→=$320/12 = $ 26.66 per month
e)utilities $475→→→→→→→→→→→→→=$475
Average monthly expenditure: a) + b) + c) + d) = $2,152.75