1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
3 years ago
7

Ind the equation of the tangent line to 9x^2+16y^2=52 through (2, -1)

Mathematics
1 answer:
EastWind [94]3 years ago
6 0
Here are the steps.

In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)

<span>The center is (-9, -4)</span>

Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.

The slope from center to point (2, -1) is 11/3

Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.

The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11

You might be interested in
Find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1.
Elza [17]
Using the quotient rule  

dy/dx  =  (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
              ----------------------------------------------
                              (x^2 - 1)^2

You are correct
7 0
3 years ago
Simplify the expression 3x•(7•x) explain
yuradex [85]

Steps to solve:

3x * (7 * x)

~Simplify

3x * 7x

~Combine like terms

21x

Best of Luck!

7 0
2 years ago
Read 2 more answers
What number is 0.1 more than 15.8?<br><br> 15.81<br><br> 15.9<br><br> 16.1<br><br> 16.8
BaLLatris [955]

Answer:

15.9

Step-by-step explanation:

If you add 15.8 and 0.1 together, it equals to 15.9.

 15.8

+  0.1

-------------

 15.9

7 0
3 years ago
Read 2 more answers
Describe the nature of the roots for the equation<br> 49x2– 28x +4 = 0
Zepler [3.9K]

Answer:

The roots of the equation is real and repeated

Step-by-step explanation:

Here, we want to describe the nature of the roots of the given quadratic equation

To get the nature of the roots, we find the discriminant of the equation

The discriminant is;

b^2 - 4ac

In this case, b = -28 , a = 49 and c = 4

The discriminant is thus;

-28^2 - 4(49)(4)

= 784 - 784 = 0

Since the discriminant is zero, this means that the quadratic equation has real roots which are the same

6 0
2 years ago
a boat can travel 176 kilometers on 88 liters of gasoline. How much gasoline will it need to go 250 kilometers
bagirrra123 [75]
It would need 125 litters of gasoline
8 0
3 years ago
Other questions:
  • Which variable expression represents the word phrase?
    13·2 answers
  • Real world situation for 834+14s&gt;978-10s
    11·1 answer
  • How many even numbers can be formed from the digits 1,2,3,4,5?
    8·1 answer
  • Which line segment shows the base that corresponds to the given height of the triangle?
    5·2 answers
  • What is the inequality of -1/12 ≥6
    8·1 answer
  • Area of a Triangle
    10·1 answer
  • A cafeteria has a special: one hamburger and one order of fries is $5.49, and one hamburger and two orders of fries is $6.99. De
    8·1 answer
  • You have 42 coins with a total value of $3.00. Some of the coins are dimes, and the rest are quarters.
    10·1 answer
  • Name the factors of 8m^2
    10·1 answer
  • Gary works at a bakery, and he needs to select a rectangular cookie sheet with an area of 192 square inches. The area of the coo
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!