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
OleMash [197]
3 years ago
12

Find an equation for the surface consisting of all points p for which the distance from p to the x-axis is 5 times the distance

from p to the yz-plane.
Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0
Distance from P to the x-axis = 2x distance from P to the yz-plane 

<span>Distance to the x-axis of a point P=(x,y,z) is (y^2+z^2)^1/2 </span>
<span>Distance to the yz-plane of a point P=(x,y,z) is x </span>

<span>So your equation is: </span>
<span>(y^2+z^2)^1/2 = 2x </span>
<span>=> y^2 + z^2 = 4x^2 </span>
<span>=> y^2 + z^2 - 4x^2 = 0 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
You might be interested in
Local extreme Value for each of the Following A) F(x)=x^² - 4x² +5​
kobusy [5.1K]

Answer:

max{x²-4x²+5} = 5 at x = 0

Step-by-step explanation:

1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

f'(x)=0

We get:

f(x) = -3x^2+5\\f'(x) = -6x\\-6x = 0\\x = 0

So the critical number is x = 0.

2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:

f'(x) is positive when the x < 0 (for example: -6*(-1)=+)

f'(x) is negative when the x > 0 (for example: -6*(1)=-)

Therefore, you have a local maximum.

Now just get the Y value by plugging in the critical number in the original function. f(0)=5

local maximum is (0,5)

4 0
1 year ago
A right circular cone has a volume of 25π ft.. If the radius of the cone is doubled but the height remains fixed, what is the vo
Nat2105 [25]

Answer:

B. 100

Step-by-step explanation:

8 0
3 years ago
If the correlation between height and weight of a large group of people is 0.75​, find the coefficient of determination​ (as a​
Shtirlitz [24]
Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.

The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).

We are given:
R = 0.75

So,
R²  = 0.75²

R² = 0.5625

R²  = 56.25 %
The coefficient of determination tells how much of the trend of dependent data can be explained by the independent data using the linear regression model. So in the given case, Height can explain 56.25% of the trend in the weight.
4 0
3 years ago
Read 2 more answers
One half of the sum of 7 and k
igomit [66]
The answer could be (7+k)÷2
4 0
3 years ago
Which is bigger 11/20 or 14/25?
NeX [460]
14/25 is bigger, when you divide these numbers and look for their decimals, you can tell which one is greater
3 0
2 years ago
Read 2 more answers
Other questions:
  • The function f(x) varies inversely with x and f(x) = 4 when x = 12.
    13·2 answers
  • Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362
    10·1 answer
  • The sum of two numbers is 31 and their difference is 7
    13·1 answer
  • I need help doing negative number
    12·1 answer
  • Solve the following inequality. 2(P + 1) &gt; 7 + P
    5·1 answer
  • What is the answer to this 9(3+2)-3(8-7)
    11·2 answers
  • How can Brady use fraction strips to show that 3÷4 and 7÷8 are not equivalent
    5·1 answer
  • Problem 12- finding area
    6·1 answer
  • Will mark brainliest
    15·1 answer
  • Segment AB is a line segment on a number line. Endpoint A is at –18, and the midpoint is at -6.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!