Answer:
The hyperbolas which open horizontally are:
(x+2)^2/3^2-(2y-10)^2/8^2=1
(x-1)^2/6^2-(2y+6)^2/5^2=1
Step-by-step explanation:
A hyperbola with equation of the form:
(x-h)^2/a^2-(y-k)^2/b^2)=1 opens horizontally
Then, the hyperbolas which open horizontally are:
(x+2)^2/3^2-(2y-10)^2/8^2=1
(x-1)^2/6^2-(2y+6)^2/5^2=1
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.
Answer:
3 1/5 is 3.2 as a mixed number
If the original price tag of the video game is $128, to get its discounted price at 15%, that means what Leiff paid for was (100-15) = 85% of the original price.
So, the price of the video game then becomes
(0.85 x 128) = $108.80.
Since Leiff has to pay an additional 5.3% of the new price, that's (100 + 5.3) = 105.3% of the new price which is
(1.053 x 108.8) = $114.57
Adding the shipping fee for the videogame,
114.57 + 4.75 = $119.32
Thus, the total price is <span>$119.32</span>
