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Ipatiy [6.2K]
3 years ago
7

What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

Step-by-step explanation:

What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?

Center (3.5); Radius 4

Center (-3,-5); Radius 4

O Center (3,5); Radius 16

O Center (3.5); Radius 10

x² + y²+ 6x + 10y + 18 = 0

x² + 6x + y² + 10y = -18

x² + 6x + 9 + y² + 10y + 25 = -18 + 6 + 9

x² + 3x + 3x + 9 + y² + 5y + 5y + 25 = -3

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The time, t, required to travel a fixed distance varies inversely as the
Lemur [1.5K]

You must travel at 42 mph for 4 hours

<em><u>Solution:</u></em>

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1

Where, "k" is the constant of proportionality

<em><u>You travel 3 hours at a rate of 56 mph</u></em>

Substitute t = 3 and r = 56 in eqn 1

3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168

<em><u>Find the  rate you must travel for 4 hours</u></em>

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42

Thus you must travel at 42 mph for 4 hours

4 0
3 years ago
Which difference is closest to 12?<br> A. 89−1112 <br> B. 67−19 <br> C. 1516−38 <br> D. 35−611
SSSSS [86.1K]

Answer:

b

The rest are at least 500 numbers away from 12

Step-by-step explanation:

3 0
3 years ago
10x+4y+ 12z=120 <br> 11x +77y =220 <br> 8x +2y +32z =160
Damm [24]

Answer:

x=8.94 ; y = 1.58; z=2.02

Step-by-step explanation:

solve 10x+4y+12z = 120      →          5x+2y+6z = 60

         8x + 2y +32Z = 160   →           4x+y+16z = 80

To eliminate z multiply first equation by 16 and second equation by 6.

80x+32y+96z = 960

24x+6y+96z =   480

on subtractionwe get 56x+26y = 480

dividing by 2 we get, 28x + 13y = 240

Now we have a given equation 11x + 77y = 220 → x + 7y = 20

solving 28x + 13y = 240 and x + 7y = 20

28x + 13y =240

28x + 216y = 560

subtracting we get, 203y = 320

y = 1.58

x = 8.94

z = 2.02

6 0
3 years ago
a rectangular patio is 9 yards 2 ft long and 5 yards 2 feet wide what is the perimeter of the patio in yards​
qaws [65]

Answer:36 yards and 2 feet

Step-by-step explanation:

7 0
3 years ago
$111.1 to the nearest $5
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$111.1 to the nearest $5 is $110
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