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2 years ago

What is the center of the equation X^2+y^2-4x-8y-16=0

1 answer:

6 0

x² + y² - 4x - 8y - 16 = 0
+ 16 + 16
x² + y² - 4x - 8y = 16
x² - 4x + y² - 8y = 16
(x² - 4x + 4) + (y² - 8y + 16) = 16 + 4 + 16
(x² - 2x - 2x + 4) + (y² - 4y - 4y + 16) = 20 + 16
[x(x) - x(2) - 2(x) - 2(-2)] + [y(y) - y(4) - 4(y) - 4(4)] = 36
[x(x - 2) - 2(x - 2)] + [y(y - 4) - 4(y - 4)] = 36
(x - 2)(x - 2) + (y - 4)(y - 4) = 36
(x - 2)² + (y - 4)² = 36
36 36 36
¹/₃₆(x - 2)² + ¹/₃₆(y - 4)² = 1
Center: (2, 4)

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City Community College plans to increase its enrollment capacity to keep up with an increasing number of student applicants. The

aivan3 [116]

The given above may be modeled by the arithmetic sequence with initial value (I) 2200 and common difference (d) of 70. The number of applicants every year can be written by the equation,
at = a1 + (n - 1) x d
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at = 2200 + (4 - 1) x 70 = 2410
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2 years ago

I need questions 12-30 evens on pg 375 and 356!!!!

lidiya [134]

Answer:

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2 years ago

Evaluate: 3x + 6x for x=-1

bekas [8.4K]

Answer:

-9

Step-by-step explanation:

you put in -1 where there is an x in the equation

3(-1) + 6(-10)

-3 - 6

-9 is the answer

3 0

2 years ago

Read 2 more answers

A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the ed

anastassius [24]

Answer:

the volume of the pipe is 649.98 cubic inches.

Step-by-step explanation:

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

$\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h$

where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

substituting our given values in above formula, we will get:

$\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3$

Therefore, the volume of the pipe is 649.98 cubic inches.

8 0

2 years ago

PLEASE HELP WILL GIVE BRAIN

LenaWriter [7]

(3 3/4)(1 1/8)

=15/4(1 1/8)

=15/4(9/8)

=135/32

=4 7/32

4 0

2 years ago