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2 years ago

Write the equation in graphing form and the graph the shape. NO LINKS/ASSESSMENT!!

Mathematics

1 answer:

charle [14.2K]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

16 + x² + y² - 8x - 6y = 0 ( subtract 16 from both sides )

x² + y² - 8x - 6y = - 16 ( collect x and y terms together )

x² - 8x + y² - 6y = - 16

Use the method of completing the square

add ( half the coefficient of the x/y terms)² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 3)y + 9 = - 16 + 16 + 9

(x - 4)² + (y - 3)² = 9 ← in standard form

with centre (4, 3 ) and r = $\sqrt{9}$ = 3

This is a circle with centre (4, 3 ) and radius 3

You might be interested in

The product of 3 consecutive odd numbers is 2,145. Enter a simplified expression for finding the numbers. Let n be the first odd

Arlecino [84]

Answer:

11, 13 and 15.

Step-by-step explanation:

Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.

Applying that here, we get:

Odd number* the next odd number*the next odd number=2145

x*(x+2)*(x+4)=2145

x*(x^2+4x+2x+8)=2145

x^3+6x^2+8x=2145

By solving the polynomial, you get x=11.

Which makes our three numbers: 11, 13 and 15.

11*13*15=2145. The answer checks.

6 0

2 years ago

Mike buys four equally priceDVD’s online each DVD cost the same amount with a 5.98 shipping charge included the total cost came

Butoxors [25]

Answer:

79.94 / 4 - 5.98 = 14 dollars and 5 cents

Step-by-step explanation:

If the DVDs were the same amount of money and he bought 4 of them and your total is 79.94 dollars you have to divide four from it because the DVDs are the same cost then your going to subtract 5.98 because that is shipping and your trying to find the total of the DVD and you get 14 dollars and 5 cents.

5 0

2 years ago

Mrs. lama marked a price of a cosmetic item 25% above it's cost price. if the cost price of the cosmetic item was 4400, at what

Alexeev081 [22]

Answer:

hi dear I suppose the answer would be 6271$

3 0

1 year ago

Solve 3/5=8/y. Round to the nearest tenth. 15.2 9.8 13.3 18.8

Sidana [21]

3/5 = 3/y
40 = 3y
Divide both by 3
Answer= 13.3

4 0

2 years ago

EASY MATH!!! GIVING BRAINLIEST!!

musickatia [10]

Answer:

Step-by-step explanation:

So lets take our 50 dollars.

Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.

Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:

50*1.05

52.5

52.5*1.05

55.25

So your answer is 55 dollars(rounding down).

Hope this helps!

4 0

1 year ago