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Alona [7]
3 years ago
12

1. graph the system of inequalities -2x+3y≥ -12 x+y< 3

Mathematics
2 answers:
jolli1 [7]3 years ago
7 0

the answer is y> -2/3+2x/3

Alik [6]3 years ago
6 0

First, convert the equations into slope intercept form.

y=mx+b

Where m is the slope and b is the y intercept.

First equation :

-2x+3y\geq -12 \\ 3y\geq-2x-12\\y\geq-\frac{2}{3}x-4

Second equation :

x+y

So now we graph

y and y\geq-\frac{2}{3}x-4

Since y is less than and not equal to, we shade below the line and the line is dotted.

Since y\geq-\frac{2}{3}x-4 is greater than and equal to, we shade above the line and the line is solid.

And the solutions are anything in the double shaded region.

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36 x 3.14=113.04

Therefore, the circles circumference is 113.04
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Step-by-step explanation:

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Sarah had 730 m of lace to decorate some dresses. She used 4 m of lace to decorate each dress and had 510 m of lace left. Then,
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Graph the linear equation y=×/3-4
shepuryov [24]
I think so that graph will help you...................................

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3 years ago
The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively
Karolina [17]

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

<u><em>The complete question is</em></u>

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

<u><em>Verify each statement</em></u>

1) AG = 4

we know that

AG=AC-GC

AC=32\2=16\ cm ----> radius of circle A

GC=24/2=12\ cm ----> radius of circle C

substitute

AG=16-12=4\ cm

therefore

The statement is true

2) GC = 10

we know that

GC=24/2=12\ cm ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

AH=AC+CH

we have

AC=16\ cm ----> radius of circle A

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

AH=16+5=21\ cm

therefore

The statement is true

4) EC = 12

we know that

EC=24/2=12\ cm ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

EH=14/2=7\ cm ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

therefore

The statement is true

7) HE = 7

we know that

HE=14/2=7\ cm ----> radius of circle E

therefore

The statement is true

3 0
3 years ago
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