For a hyperbola
where
the directrix is the line
and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
Answer:
rfrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
Answer:
B: $13.75
Step-by-step explanation:
5.5% of $250 = $13.75
Therefore, the simple interest is $13.75.
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88
Answer
14/15 kg
Step-by-step explanation:
Rewriting our equation with parts separated
=1+215−15
Solving the fraction parts
2/15−15=?
Find the LCD of 2/15 and 1/5 and rewrite to solve with the equivalent fractions.
LCD = 15
2/15−3/15=−1/15
Combining the whole and fraction parts
1−1/15=14/15
Solution by Formulas
converting mixed numbers to fractions, our initial equation becomes,
17/15−15
Applying the fractions formula for subtraction,
=(17×5)−(1×15)15×5
=85−15/75
=70/75
Simplifying 70/75, the answer is
=14/15
