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3 years ago

Given the following equation for an ellipse: 9x^2+25y^2-18x-50y-191=0

1 answer:

4 0

$9x^2+25y^2-18x-50y-191=0\\\therefore 9(x^2-2x+1)+25(y^2-2y+1)-191 -9-25=0\\9(x-1)^2+25(y-1)^2=225\\\therefore \text{Center=(1,1)}\\\text{Let new x and y be X and Y}\\\implies X=x-1 \:;\: Y=y-1\\\implies \frac{X^2}{5^2}+ \frac{Y^2}{3^2}=1$

That's the equation in the standard form, with center as the origin and axes parallel to the coordinate axes.

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Find the surface area.<br><br> Any help will be appreciated thank you

kozerog [31]

Answer:

37.5

Step-by-step explanation:the formula of surface area of a square is 6a²

and a is 2.5 in this case,so 6*2.5*2.5=37.5

3 0

3 years ago

With which information can you construct a unique rhombus?

qaws [65]

I believe the correct answer is D.

4 0

3 years ago

Read 2 more answers

2d+7/6-d-5/3=0 Tell me the answer

Inessa [10]

Answer:

d=1／2

Step-by-step explanation:

$2d + \frac{7}{6} - d - \frac{5}{3} = 0 \\ 2d - d = \frac{5}{3} - \frac{7}{6} \\ d = \frac{10}{6} - \frac{7}{6} \\ d = \frac{3}{6} \\ d = \frac{1}{2}$

3 0

2 years ago

Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the w

Kay [80]

When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.

$x\propto \frac{1}{y}$

We know that the area of a rectangle is given by the product of the length and width of the rectangle.

Area = Length*Width

In this given problem,

The length of the rerectanglctangle is represented by x

and the width of the rectangle is represented by y

If the area of the rectangle is represented by A now.

So by the formula,

A = x*y

When A is constant then,

x = A/y

$\therefore x \propto \frac{1}{y}$

So from the above calculation we can conclude that about relation between length and width that,

"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."

Learn more about Area here -

brainly.com/question/25292087

#SPJ10

5 0

1 year ago

A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project

sweet-ann [11.9K]

Answer:

$\text{Domain of x}=[1,\infty), x \in Z^+$

Step-by-step explanation:

Given the function: $f(x)=\dfrac{280}{x},$ where:$

f(x) =number of days it would take to complete the project

x =number of full-time workers.

$\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days$

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

$\text{Domain of x}=[1,\infty), x \in Z^+$

7 0

3 years ago