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2 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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If a man is running at 2 kilometers an hour how long will it take him to reach his destination of 15 miles

NemiM [27]

It will take him 9 hours I think.

8 0

3 years ago

Read 2 more answers

1. List 3 numbers that the variable (F ) can be. F <4

ryzh [129]

Answer:

1. 3, 2, 1

2. 6, 7, 8

3. -2, -1, 1

4. -5, -6, -7

5. -34, -35, -36

6. 1, 2, 3

7. -11, -12, -13

8. -10, -9, -8

9. 11, 12, 13

10. 21, 22, 23

Step-by-step explanation:

All that was required was to write numbers that were smaller < or bigger > than the given number. Hope this helps:)

5 0

2 years ago

Expand 3( q + 2 )<br> 3(q + 2) =

adoni [48]

Answer:

9q²+36+36q

Step-by-step explanation:

3( q + 2 ) *3(q + 2) =9*((q+2)²)=9*(q²+4+4q)=9q²+36+36q

6 0

2 years ago

Rohann recently finished some renovations to his house. 20 square meters of carpeting cost $875 while 17 square meters of hardwo

lara [203]

Answer: Hardwood flooring

Step-by-step explanation:

Given

Rohann renovation of Carpentering cost $875 for $20\ m^2$

For hardwood flooring $17\ m^2$ cost $750

So, cost per square meter for different floors are

$\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2$

$\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2$

Thus, the cost of the Hardwood flooring is more expensive.

6 0

2 years ago

It you invest S500 at an annual interest rate of 10% compounded continuously, calculate the final

lord [1]

Answer:

Step-by-step explanation:

The formula for continuous compounding is

$A(t)=Pe^{rt}$ where A(t) is the amount after all the compounding is done, P is the initial investment, r is the rate as a decimal, and t is the time in years. Filling in our info:

$A(t)=500e^{(.1)(5)}$

First raise e to the product of that power to get

$A(t)=500(1.64872171)$

Multiply those numbers together to get A(t) = $824.36

8 0

2 years ago