Answer:
{x,y} = {-1,-9}
Step-by-step explanation:
9x^2-10x=0
D= b^2-4ac
b=-10
a=9
c=0
D=(-10)^2-4*9*0=10^2-0=100
Answer:

Step-by-step explanation:
We are asked to find the tangent line approximation for
near
.
We will use linear approximation formula for a tangent line
of a function
at
to solve our given problem.

Let us find value of function at
as:

Now, we will find derivative of given function as:




Let us find derivative at 

Upon substituting our given values in linear approximation formula, we will get:


Therefore, our required tangent line for approximation would be
.
Answer:
2x^3+11x^2-43x-24
Step-by-step explanation:
desmos graphing calculator- both factors matched
Answer:
Option D
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=42, B=120°, and c=35. Plugging in the values:
b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).
Simplifying gives:
b^2 = 4459.
Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).
This means that the length of the third side is 66.78 units!!!