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Answer:
Step-by-step explanation:
b) a² - 1 + b(b - 2a) = a² -1 + b*b - b*2a {distributive property}
=a² - 1 + b² - 2ab
= (a² - 2ab + b² ) - 1
= (a - b)² - 1² {use identity x²-y²= (x+ y)(x -y)}
= (a - b + 1)(a -b +1)
b) 15 +8y + y² - 2x - x² = (y² + 8y + 15) - x² - 2x
= (y² + 5y + 3y + 15) - x(x + 2)
= [ y(y + 5) + 3(y +5)] - x(x + 2)
= [(y + 5)(y+3) ] - x(x +2)
a. is unreasonable because 96/48 = 2
b. is unreasonable because 713/99=7.2020.... which would be rounded to 7.2 <u>not</u> 72
hope this helps :)p
Answer:
Distance between two cities is 193.94 miles.
Step-by-step explanation:
We have,
Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.
Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°
We assumed, the diameter of earth is 7917.5 miles.
So, the radius = = 3958.75 miles
So, using the cosine formula, we have,
i.e.
i.e.
i.e.
i.e. a= 193.94 miles.
Hence, the distance between two cities is 193.94 miles.
The calculation in this question is simple but you need to look through it to get it right.So, The answer in this question is $11,831.61
How do we get the answer?First we need to multiply the price of the boat to the interest rate which is 9.4%
$10,815 * .094 = $1,061.61
next we need to add how much is the interest of the boat in the price of the boat.
$10,815 + $1,061.61 = $11,831.61