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Serjik [45]
2 years ago
13

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &

lt; x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68
Mathematics
1 answer:
max2010maxim [7]2 years ago
7 0

The another way of writing inequality is x > 64 and x < 68

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As the actor has to be taller than 64 inches, and less than 68 inches.

and we use  greater than or less than signs and not greater than or equal to or less than or equal to show the inequality.

hence, x > 64 and x < 68.

Learn more about this concept here:

brainly.com/question/1674182

#SPJ1

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x2 + y2 − 4x + 12y − 20 = 0 (x − 6)2 + (y − 4)2 = 56 x2 + y2 + 6x − 8y − 10 = 0 (x − 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y −
snow_tiger [21]
For this case, what we must do is fill squares in all the expressions until we find the correct result.
 We have then:
 
 x2 + y2 − 4x + 12y − 20 = 0 x2 + y2  − 4x + 12y = 20
 x2  − 4x + y2 + 12y = 20
 x2  − 4x + (12/2)^2 + y2 + 12y  + (-4/2)^2 = 20 + (12/2)^2 + (-4/2)^2
 x2  − 4x + (6)^2 + y2 + 12y  + (-2)^2 = 20 + (6)^2 + (-2)^2
 x2  − 4x + 36 + y2 + 12y  + 4 = 20 + 36 + 4
 (x − 2)2 + (y + 6)2 = 60 

 
3x2 + 3y2 + 12x + 18y − 15 = 0 
 
x2 + y2 + 4x + 6y − 5 = 0 
 x2 + y2 + 4x + 6y  = 5 
 x2  + 4x + (4/2)^2 + y2 + 6y + (6/2)^2 = 5 + (4/2)^2 + (6/2)^2 
 x2  + 4x + (2)^2 + y2 + 6y + (3)^2 = 5 + (2)^2 + (3)^2 
 x2  + 4x + 4 + y2 + 6y + 9 = 5 + 4 + 9 
 (x + 2)2 + (y + 3)2 = 18 

 2x2 + 2y2 − 24x − 16y − 8 = 0
 x2 + y2 − 12x − 8y − 4 = 0
 x2 + y2 − 12x − 8y = 4 
 x2 − 12x + (-12/2)^2 + y2 − 8y + (-8/2)^2 = 4 + (-12/2)^2 + (-8/2)^2
 x2 − 12x + (-6)^2 + y2 − 8y + (-4)^2 = 4 + (-6)^2 + (-4)^2
 x2 − 12x + 36 + y2 − 8y + 16 = 4 + 36 + 16
 (x − 6)2 + (y − 4)2 = 56 

 x2 + y2 + 2x − 12y − 9 = 0
 x2 + y2  + 2x - 12y = 9
 x2  + 2x + y2 - 12y = 9
 x2  + 2x + (2/2)^2 + y2 - 12y  + (-12/2)^2 = 9 + (2/2)^2 + (-12/2)^2
 x2  + 2x + (1)^2 + y2 - 12y  + (-6)^2 = 9 + (1)^2 + (-6)^2
 x2  + 2x + 1 + y2 - 12y  + 36 = 9 + 1 + 36
 (x + 1)2 + (y − 6)2 = 46
7 0
3 years ago
A = (5)<br> b = (3)<br> Work out 4a + b
malfutka [58]

Step-by-step explanation:

IF A=5, B=3

4*5+3=20+3

         =23

THE ANSWER IS 23

8 0
2 years ago
Please help me if you don't mind work out the problem I'll give you brainly
svp [43]

Answer:

C) Izzy

Step-by-step explanation:

Justin typed 90 words in 2 minute:

work

405/9=45 words a minute

45*2=90

Remmy typed 84 words in 2 minute:

work

420/10=42 words a minute

42*2=84

Izzy typed 98 words in 2 minutes:

work

588/12= 49 words a minute

49*2 = 98

I hope this helps :)

6 0
3 years ago
Read 2 more answers
What is the measure of the missing angle?
tatiyna

Answer:

42

Step-by-step explanation:

so 180-132 will give u top angle of triangle

which is 48 degrees

48+90+x=180

180-90-48=x

x= 42

5 0
3 years ago
Read 2 more answers
Help! This is due today!
bulgar [2K]

Answer:

27π

Step-by-step explanation:

area of circle = πr^2

= π × 6^2

= 36π

36/4

= 9

36 - 9

= 27π units squared

4 0
2 years ago
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