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Irina-Kira [14]
3 years ago
8

8. Which graph correctly shows the solution of the compound inequality 3x > 3 and 9x < 54?

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

The answer is shown in the image attached

Compound inequality is an inequality made up of two inequalities joined together using 'or' or 'and'.

Given the inequalities 3x > 3 and 9x < 54. Solving both inequalities gives:

3x > 3 and 9x < 54

x > 1 and x < 6

x > 1 is equivalent to x ∈ (1, ∞)

x < 6 is equivalent to x ∈ (-∞, 6)

Therefore, combining the two inequalities together gives:

(1, ∞) ∩ (-∞, 6) = (1, 6)

Find out more at: brainly.com/question/24540195

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Write the equation of the circle centered at (-4,6) with a diameter of 16
steposvetlana [31]
<span>Center:(-4,6)
The center of a circle is a point from which all points on a circle are the same distance.Radius:8
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".Diameter:16
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.Circumference or (or Permieter) = 2*π*R = 2*3.14*8 = 50.2654824574367
The circumference of a circle is the distance around it.Area:201.061929829747
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.</span>EquationStandard Form

The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=82
(x+4)2+(y-6)2=64

General Form

The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=64
x2+8x+16+y2-12y+36=64
x2+y2+8x-12y-12=0


6 0
3 years ago
Mrs. Alvarez has a piece of ribbon that is 2.65 feet long. She cuts the ribbon into 5 equal parts. Which is the best estimate of
yulyashka [42]

Answer:

.53

Step-by-step explanation:

Well all you gotta do is basically just divide so it will be 2.65 divide by 5 which would equal the answer which is .53 for all sides

5 0
3 years ago
I need helppppp!!!!!!!
11111nata11111 [884]

Answer:

why is it sideways

Step-by-step explanation:

7 0
3 years ago
Im willing to give 20 points maybe even more
Thepotemich [5.8K]

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now ,  equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) -  Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

********************************************************

Now place the value of c in Eq (2)

So , m =6.5

Mark my answer as brainlist answer

Step-by-step explanation:

3 0
3 years ago
What is the volume of a cube shaped box with edges 6 cm. in length
Lesechka [4]
The answer is:  " 216 cm³ " .
_____________________________________________
<u><em>Note</em></u>:
_____________________________________________
   (6 cm)³ = (6 cm)*(6 cm)*(6 cm)  =  216 cm³ .
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8 0
3 years ago
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