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3 years ago

12

I need help pls. I will give brainliest.

1 answer:

Nookie1986 [14]3 years ago

8 0

For the first one, No she is not correct because to find the slope you must use y1-y2/x1-x2 so it would be 12-4/9-7
For the 2nd one it’s B.

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Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ell

Volgvan

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

$x=\sqrt{4-4y^2 }\\$

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

$A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}$

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

7 0

3 years ago

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary

Y_Kistochka [10]

Answer:

The answer is "choice c".

Step-by-step explanation:

Below, we shall find the line equation, dissociation for both the management's behavior and achievement.

Here, attitudes are the response variable while performance seems to be the predictor as attitude is achievement dependant.

If Y indicates the attitude while X relates to workers' performance.

Let's describe the data like:

$y=a+bx+e$

Now we get the estimates of e via the least quadratic method, – i.e., by reducing the number of segments.

$S=\sum e_{i}^{2}=\sum {(y_{i}-a-bx_{i})^{2}}$

minimize S to obtain the estimates of a and b as:

$\hat{b}=\frac{\sum{(y_{i}-\bar{y})(x_{i}-\bar{x})}}{\sum{(x_{i}-\bar{x})^{2}}}\\\\\hat{a}=\bar{y}-\hat{b}\bar{x}$

So,

$a=11.7b=1.02$

Equation:

$Y=11.7+1.02x$

6 0

3 years ago

What is 3533÷274737473

tensa zangetsu [6.8K]

3,533÷274,737,473=0.0000128595490139054

4 0

4 years ago

Read 2 more answers

PLEASE HELP WILL MARK BRAINLIEST IF CORRECT!!

bulgar [2K]

Answer: 40 ft

Step-by-step explanation: 40ft .use pythagoras theorem taking 50ft as your hypotenuse and 30ft as your adjacent

8 0

3 years ago

Read 2 more answers

What if you are trying to find the mode and more than one number comes up the most like they come up the same amount

Citrus2011 [14]

Answer:

u just put the number down those two numbers as the mode because the mode is whatever number occurs the most in a data set.

Step-by-step explanation:

Ex: 1,2,2,2,2,2,3,5

1,1,1,1,1,1,1,5,7,2,9 <u>answer</u>

Mode: 1 and 2

3 0

3 years ago