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3 years ago

Find the center and radius of each circle x^2+y^2-6x+2y+9=0

Mathematics

1 answer:

harina [27]3 years ago

3 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

To obtain this form use the method of completing the square on both the x and y terms

x² - 6x + y² + 2y = - 9 ← rearranging

x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = - 9 + 9 + 1

(x - 3)² + (y + 1)² = 1 ← in standard form

with centre (3, - 1) and radius 1

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Is a rectangular prism has a length width and height of 3/8cm, 5/8cm and 7/8 in a meter respectively then the volume of the pris

myrzilka [38]

The volume of a rectangular prism is given by the multiplication of its three dimensions: if $w, h, l$ are the width, height and length of the prism, the volume is

$V = w\cdot h\cdot l$

So, in your case, you have

$V = \dfrac{3}{8} \cdot \dfrac{5}{8} \cdot \dfrac{7}{8} = \dfrac{3\cdot 5 \cdot 7}{8\cdot 8 \cdot 8} = \dfrac{105}{512}$

4 0

3 years ago

Please help answer these questions

vfiekz [6]

Step 1

given

Step 2

$\angle HKM \cong \angle OKM, \angle HMK \cong \angle OMK$

Step 3

$\overline{KM} \cong \overline{KM}$

Reason: Reflexive property

Step 4

ASA

8 0

2 years ago

He sum of two consecutive integers is â71â71. find the two integers

Crank

The two consecutive integers can be represented by x and x+1.

x+(x+1)=71

Combine like terms
2x+1=71

Subtract 1 from both sides
2x=70

Divide both sides by 2
x=35

Final answer: 35, 36

8 0

3 years ago

Help pls! Brainliest!

blagie [28]

Answer:

y =-3000x +12000

Step-by-step explanation:

answer is

1) 12000 is the constant therefore when the number of hours is 0 the tickets are 12000

2) the number of tickets (y) are reducing by 3000 for each hour(x). thus the coefficient of variable x should be -3000 (negative because it is reducing)

8 0

3 years ago

Use a net to find the surface area of the right triangular prism shown:

erma4kov [3.2K]

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²

Area of a rectangle = width x length

⇒ area of larger rectangle = 6 x 12 = 72 ft²

⇒ area of smaller rectangle area = 6 x 7 = 42 ft²

⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²

3 0

2 years ago