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disa [49]
3 years ago
7

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

Mathematics
1 answer:
charle [14.2K]3 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
A rectangular pool in your friend' s yard is 150 ft× 400 ft.
Amiraneli [1.4K]
60,000 us the answer.
5 0
3 years ago
The students in a college marching band are arranged in rows. The recursive rule f(n) = f(n − 1) + 8 and f(1) = 13 gives the num
anzhelika [568]

Answer:

There are 24 more trumpet players than clarinet players

Step-by-step explanation:

The given information are;

The recursive rule or the number of band members in a row is f(n) = f(n - 1) + 8

Where f(1) = 13

The members of the band players in row 1 = The clarinet players

The members of the band players in row 4 = The trumpet players

Therefore, the number of clarinet players = f(1) = 13

The number of band members in row 2, f(2)  = f(1) + 8 = 13 + 8 = 21

The number of band members in row 3, f(3)  = f(2) + 8 = 21 + 8 = 29

The number of band members in row 4, f(4)  = f(3) + 8 = 29 + 8 = 37

Therefore, given that the trumpet players are in row 4, the number of trumpet players = The number of band members in row 4 = 37 Trumpet players

The difference in the number of trumpet and clarinet = The number of more trumpet players than clarinet players = 37 - 13 = 24 more trumpet players than clarinet players

There are 24 more trumpet players than clarinet players.

3 0
3 years ago
Emma naked a cake for her class she cut the cake into equal size slices after passing out the slices of cake to her friends , th
dalvyx [7]

the answer is 32 because 32×(1/4) or 32/4 is 8 there for 8 is a fourth of 32

6 0
3 years ago
Which expression shows a decimal equivalent to the fraction 13/32? Show work A. 0.41 B. 0.406 C. 0.40625 D. 0.4625
lina2011 [118]

Answer:

[C] 0.40625

Explanation:

To turn a fraction into a decimal, divide the numerator by the denominator.

13 ÷ 32 = 0.40625

  • Your answer is [C] 0.40625
3 0
3 years ago
In the Holiday Shop the manager wants 20% of the total inventory in the stockroom and the rest displayed on the floor. After mee
Lilit [14]

Answer:

Total inventory: $175,000

Inventory in the stockroom: $35,000.

Inventory on the selling floor: $140,000.

Step-by-step explanation:

Let x be the the total inventory.

We have been given that in the Holiday Shop the manager wants 20% of the total inventory in the stockroom. You placed $35,000 of inventory in the stockroom.

We can set an equation such that 20% of x equals $35,000.

\frac{20}{100}\cdot x=\$35,000

0.20x=\$35,000

\frac{0.20x}{0.20}=\frac{\$35,000}{0.20}

x=\$175,000

Since $35,000 of inventory in the stockroom, so we will subtract $35,000 from $175,000.

\text{Amount of the inventory on the selling floor}=\$140,000

Therefore, $140,000 of the inventory on the selling floor.

7 0
3 years ago
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