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3 years ago

Write the equation in standard form of the circle with radius 5 and center 0,3

1 answer:

4 0

The equation of a circle is (x-h)²+(y-k)²=r², with h being the x value in the center, k being the y value, and r being the radius. x and y can stay variables, so we can plug numbers in to get (x-0)²+(y-3)²=5²=25=x²+(y-3)²

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5^2•3^-1•5^-3/3^4•5^-1•3^-3

puteri [66]

Assuming you want the expression to be simplified.

We begin with the following:

$5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3}$

Simplify the first part, $5^{2}$ . That is 25. Now we have this:

$25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

Next, simplify $3^{-1}$ , which is 1/3, and get this:

$25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

The next part is $\frac{5^-3}{3^{4}}$ . Simplify the denominator, $3^{4}$ , which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to $\frac{1}{10125}$ . Now we have:

$25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}$

Now simplify $5^{-1}$ , which is 0.2, or 1/5. Now we have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3}$

Finally, simplify $3^{-3}$ . That is 1/27. We have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 1/27$

Lastly, multiply them all together! Now we are done, with the product of:

$\frac{1}{6075}$

That certainly did take a while to type in all the LaTex, so I really hope that helped!

Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (:

3 0

2 years ago

The equation for a circle with center (h, k) is (x - h)2 + (y - k)2 = r2. If a circle is modeled by the equation (x - 4)2 + (y +

svp [43]

Answer:

hjghjghjghjghjghjghmbmghkgm

Step-by-step explanation:

ghmkghmjnmghmnmbnm

5 0

3 years ago

Read 2 more answers

Henry went to an amusement park with $150.00 and spent all of it. He spent 1/5 of the money on parking He spent $37.00 on admiss

sashaice [31]

Answer:

8 games

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Total amount = $150

Spent on Parking = 1/5 or 20% = $150 × 20% = $30

Spent on admission = $37

Spent on food = 40% = $150 × 40% = $60

Spent on admission in waterpark = $10

Each game cost = $1.5

So, let number of games played be X, then

$30 + $37 + $60 + $10 + $1.5X = $150

$137 + $1.5X = $150

1.5X = $150 - $137

1.5X = $13

X = $13 ÷ 1.5 = 8.67 or 8 games

Hence, Henry can play 8 games.

7 0

3 years ago

A bag of nuts weighs 3 ounces and costs 50 cents. What is the unit price? Round to the nearest cent.

galina1969 [7]

Answer:

50 cents/3 ounces = 16.67 cents/ounce

Step-by-step explanation:

maybe

8 0

2 years ago

Read 2 more answers

1) What would be another way to name plane M?

garri49 [273]

The correct answer is C plane HJG

4 0

2 years ago