Answer:
Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:
The numerical value of the slope is:
The component of the y-axis is:
Now, the tangent line has the following mathematical model:
The value of the intercept is found by isolating it within the equation and replacing all known variables:
Thus, the tangent line is:
The vertical distance between a point of the tangent line and the origin is given by the intercept.
In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:
The area of the triangle is computed by this formula:
Answer:
B
Step-by-step explanation:
Let's arrange the data set in increasing order.
We have 19, 27, 27, 33, 45, 53. The median is (27 + 33) / 2 = 30.
The new set is 19, 27, 27, 33, 45, 53, 90. The new median is 33.
Since 33 - 30 = 3 the answer is B.
Answer:
i
Step-by-step explanation:
Answer:
There are 342 different combinations.
Step-by-step explanation:
Ok, Aileen is choosing toppings for a pizza.
She can choose two.
There are 19 options that can be chosen once.
The first thing we need to do, is find all the "selections".
Here we have two selections:
Topping number 1
Topping number 2.
Now we need to find the number of options for each one of these selections:
Topping number 1: Here we have 19 options.
Topping number 2: Here we have 18 options (because one was already taken in the previous selection)
The total number of combinations is equal to the product between the numbers of options.
C = 19*18 = 342
There are 342 different combinations.