The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1
</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)
Part b is $638.40
Part c is $1,641.6
Answer:
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Step-by-step explanation:
A {21,24,27,30}
B {21,23,25,27,29,31}
C {20,22,24,26,28,30,32}
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Answer: Option C
Step-by-step explanation:
Given the quadratic equation
, substitute
:

In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:

Therefore, you get that the solutions of this equation are the following:

Then, the answer is:
This matches with the option C.
Answer:
2/21
Step-by-step explanation:
17/21 -(3/7 + 2/7)
First you add
=17/21 - (5/7)
Then you want to subtract
=2/21