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
Zolol [24]
3 years ago
9

Find equations of both the tangent lines to the ellipse x^2 + 4y^2 = 36 that pass through the point (12, 3).y = (smaller slope)y

= (larger slope).
Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer:

x+y=15

Step-by-step explanation:

Given equation of x^2+4y^2=36

Differentiating both side 2x+8y\frac{dy}{dx}=0

\frac{dy}{dx}=\frac{-x}{4y}

It passes through the point (12,3) so

\frac{dy}{dx}=\frac{-12}{4\times 3}=1

So equation of tangent passing through (12,3) is

y-12=-1(x-3) as y-y_1=-m(x-x_1)

So x+y =15 will be the equation of tangent which passes though the point (12,3)

You might be interested in
The coordinates of the vertices of a right triangle are (0, 0), (5, 0) and (0, 3). Which of the following statements is true?
Sphinxa [80]
I think A I'm not sure.
7 0
3 years ago
Read 2 more answers
a 24 foot tall streetlight casts a shadow that is 18 feet long. how long of a shadow is cast by a nearby parking meter post that
Klio2033 [76]
I believe it would be 3 feet high
7 0
3 years ago
Which of the following fractions is not equivalent to 6/21
andreev551 [17]

Answer:

3/7 and 4/14

Step-by-step explanation:

a) 3/7 is not an equivalent of 6/21 because when you multiply the numerator and the denominator by 2 you get: 6/14

b) 4/14 is not an equivalent

4 0
3 years ago
Read 2 more answers
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

A"B" = \frac{AB}{2}

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

A"B" = AB * \frac{1}{2}

A"B" = \frac{AB}{2}

The equation that explains the relationship between segment AB and segment A"B" is

A"B" = \frac{AB}{2}

Option A is correct

5 0
2 years ago
Is it necessary to do all of the calculations to determine the sign of the product? Why or why not?
Aleksandr-060686 [28]

Answer:

= (- 475)

Step-by-step explanation:

Given:

(-5) × (-5) × ... × (-5) = (-5)95

Find:

Sign of the product

Computation:

(-5) × (-5) × ... × (-5) = (-5)95

= (- 475)

No, it is not compulsory to do all calculation to find sigh of product

Negative number × odd time = Negative number

Negative number × even time = Positive number number

6 0
3 years ago
Other questions:
  • A business owes $8000 on a loan. Every month, the business pays 1/2 of the amount remaining on the loan.
    7·1 answer
  • Which of the following pair of polygons are NOT similar and why
    11·1 answer
  • Mr. Kershner is a school nurse. He uses, on average, 24 self-adhesive bandages during each spring month: March, April, and May.
    8·2 answers
  • Hi! Can you help me on volume of cylinder??? I don't really understand it. Thanks!!! (BTW, I will give brainliest to correct ans
    12·1 answer
  • Find the explicit formula for the given sequence.
    11·1 answer
  • Can somebody plz help answer these questions correctly thanks! (Grade7math) btw :)
    8·1 answer
  • A group of 5 friends is out to diner. Each of the friends is going to order the dinner special, and they have a coupon for $10 o
    5·2 answers
  • 4x-1/2=x+7 solve this equation
    8·1 answer
  • Find y. round to the nearest tenth:
    14·1 answer
  • PLEASE HELP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!