All categories

3 years ago

What is the equation of the circle shown in the graph

Mathematics

2 answers:

nekit [7.7K]3 years ago

5 0

Answer:

x² + (y + 3)² = 4

Step-by-step explanation:

schepotkina [342]3 years ago

4 0

The general equation for a circle is:
$(x-h)^2 + (y-k)^2 = r^2$

where (h,k) is center of circle
r = radius

For this example, from the graph you see the center is at (0,-3) and radius is 2.
h = 0, k = -3, r = 2

Sub into general equation:
$(x-0)^2 + (y-(-3))^2 = 2^2 \\ \\ x^2 +(y+3)^2 = 4$

You might be interested in

Which of the following are solutions to the system shown below? Select all that apply. a (0,-1) b (1,0) C (0,0) d (3,4) e (0,1)

Papessa [141]

Answer:

Options (a) and (c)

Step-by-step explanation:

There are so many inequalities graphed in the picture attached.

Common area (Triangle shown in the center) of the shaded regions will be the solution of the system of inequalities.

And points lying in this common region will be the solutions.

Points lying in this region are (0, -1) and (0, 0).

Therefore, Options (a) and (c) are the solutions.

4 0

3 years ago

Which are vertical angles to 4?

Nikolay [14]

Answer: Angle 1 only

Vertical angles are angles formed when we cross two lines like this. They are opposite one another. The other pair of vertical angles are angle 2 and angle 3.

8 0

2 years ago

Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Therefore, The conversion of unit is $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

3 0

3 years ago

I NEED HELP PLSSS<br><br> Find the value of x.

tankabanditka [31]

Answer:

1) x= 43

2) x= 54

Step-by-step explanation:

you add the two angles given, then take that answer and subtract it from 180!

i hope this helped!!

7 0

3 years ago

Read 2 more answers

Use Cramers Rule to solve the system <br> 2x - 3y = 11<br> -6x + 8y = 34

Nastasia [14]

Step-by-step explanation:

given :

2x - 3y = 11

-6x + 8y = 34

find : the solutions of the system by using Cramers Rule.

solutions:

in the matrix 2x2 form =>

[ 2 -3] [x] [11]

[-6 8] [ y] [34]

D =

| 2 -3 |

|-6 8 |

= 8×2 - (-3) (-6)

= 16-18 = -2

Dx = | 11 -3 |

| 34 8 |

= 11×8 - (-3) (34)

= 88 + 102

= 190

Dy = | 2 11 |

|-6 34 |

= 2×34 - (-6) (11)

= 68 + 66

= 134

x = Dx/D = 190/-2 = -95

y = Dy/D = 134/-2 = -67

the solutions = {-95, -67}

8 0

2 years ago

Read 2 more answers