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NeTakaya
2 years ago
8

-1/3x-4/3y=-2 1/3x-2/3y=4 using elimination

Mathematics
1 answer:
Minchanka [31]2 years ago
5 0

-1/3x-4/3y=2

1/3x-2/3y=4

First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition

Adding the two equations together gets

-6/3y=6

Simplify

-2y=6

y=-3

Substitute back into original equation

1/3x-2/3(-3)=4

1/3x+2=4

1/3x=2

x=6

Answer

x=6, y=-3

Check answer

-1/3(6)-4/3(-3) =?= 2

                -2+4=2

                     2=2

Done!

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kondaur [170]

Answer:

The volume of the prism is 22m

3 0
3 years ago
Read 2 more answers
What is the volume of the plastic rocket???
Snezhnost [94]

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

7 0
3 years ago
Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? A. either SAS or AAS B. SAS only C. AA
Harman [31]
Sas only because the triangles and usually congruent to me or in my opponion
5 0
3 years ago
18 is what percent of 60?
anastassius [24]
18 divided by 60 = 0.3
0.3 x 100 = 30
18 is 30% of 60
7 0
3 years ago
A cyclist travels 7.7 km in 30 minutes. <br> What is his average speed in km/h?
NARA [144]
60 min = 1 hr
30 times 2 = 60 minutes
7.7 times 2 = 15.4 km
15.4 km per hr is the answer

PLEASE MARK BRAINLIEST
4 0
3 years ago
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