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
aalyn [17]
2 years ago
8

Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter UNDEFINED.)

Mathematics
1 answer:
juin [17]2 years ago
7 0

Answer:

Undefined.

Step-by-step explanation:

We want to find the slope of the graph of the equation:

\displaystyle x^2 - y^2 = 81

At the point (9, 0).

In other words, we want to evaluate dy/dx when <em>x</em> = 9 and <em>y</em> = 0.

Find dy/dx. We can take the derivative of both sides with respect to <em>x: </em>

\displaystyle \begin{aligned} \frac{d}{dx}\left[ x^2 - y^2\right] = \frac{d}{dx}\left [ 81\right] \\ \\ 2x - 2y \frac{dy}{dx} &= 0 \\ \\ \frac{dy}{dx} = \frac{x}{y}\end{aligned}

Then the slope of the graph at the point (9, 0) will be:

\displaystyle \begin{aligned} \frac{dy}{dx}\Big|_{(9, 0)} &= \frac{(9)}{(0)} \\ \\ &= \text{Und.}\end{aligned}

In conclusion, the slope of the graph at the point (9, 0) is undefined.

You might be interested in
. Which volume-to-surface-area ratio would be better for an ice cube— the lowest possible or the highest possible? Use the table
Oxana [17]

The volume-to-surface-area ratio would be better for an ice cube is the highest possible one.

<h3>How to explain the volume?</h3>

When you put ice into your drink, the goal is to have the ice chill your drink. This takes time. Therefore, you would want the ice to slowly melt and cool the drink for as long as you can.

You would want to have the highest possible volume to surface area ratio in an ice cube. If your ice cube is mostly surface area with less volume, it will melt quickly and water down your drink. If your ice cube has a higher ratio of volume to the surface area, it will stay solid longer and chill your drink longer.

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

4 0
2 years ago
It takes 45 minutes for 4 people to paint 5 walls.
Molodets [167]

4 people x 45 minutes = 180 minutes total to paint 5 walls

180/5 = 36 minutes of man work per wall

36 * 4 walls = 144 total minutes

144/6 people = 24 minutes total


4 0
3 years ago
The radius of a circular box is 21 centimeters. What is the circumference of the box? A 66cm B 132cm C 176cm D 1386cm
Ulleksa [173]

The answer would be 132 because the formula for find circumference while using radius is 2(3.14)r .

C= 2(3.13)21

C= 6.28 • 21 = 131.88

131.88 rounded is 132

8 0
3 years ago
HELP ME ASAP PLEASE, I DONT KNOW THE ANSWER.
Fudgin [204]
64° i think because. its an iscoceles triangle so the bottom two angles are the same so you do 58+58=116 and because all angles in a triangle add to 180° you do 180-116=64°
7 0
3 years ago
a section of ground measures 1.5 cubic meters and contains 0.78 gram of gold. what is the amount of gold per cubic meter? explai
I am Lyosha [343]
The answer

<span>the amount of gold per cubic meter can be found by the ratio

0.78 g  /1 </span><span>.5 cubic meters = 0.52 g / cubic meter,  
proof 
it was said </span><span>the amount of gold per cubic meter (Density)</span>
7 0
3 years ago
Other questions:
  • Is 8.300 greater than 8.3 ?
    7·2 answers
  • The advertised size of a pizza is the length of its diameter. (An 8-inch pizza has a diameter of 8 in)Q1: What is the area of a
    15·1 answer
  • The length of a square is 2x cm. The breadth and length of a rectangle are x cm and (2x + 1) cm
    14·1 answer
  • Please help me, I really need help. I will mark brainliest answer!! A bald eagle can eat 3.85 kilograms of fish in a week. The e
    7·2 answers
  • A company that makes mirrors sends their slightly flawed products to a discount store. This week, the company sent four mirrors
    6·2 answers
  • The population of an island is 6000 people this year and is projected to be 6300 people next year, by what percentage is the pop
    7·1 answer
  • Need an answer for both plez.
    8·1 answer
  • Mr. Corsetti spends 2/3 of every year in Florida. How many months does he spend in Florida each year?
    15·1 answer
  • Two sailboats are traveling along the same path away from a dock, beginning from different locations at the same time. John’s bo
    9·2 answers
  • 1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!