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blondinia [14]
3 years ago
14

Use substitution to solve the system of equations.

Mathematics
1 answer:
oee [108]3 years ago
4 0

Answer:

(0, 2)

Step-by-step explanation:

12.5x + 2.5y = 5

y = 5x + 2

12.5x + 2.5(5x + 2) = 5

12.5x + 12.5x + 5 = 5 (distribution property)

25x = 0 (combined like terms)

x= 0

y = 5(0) + 2

y = 2

check

12.5(0) + 2.5(2) = 5

5 = 5

Yes

B)

I would use the first equation (y = 5x + 2) to substitute into the second equation (12.5x + 2.5y = 5) because it is already (y = ...) so it is easier to insert it into the second equation.

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Answer:

308 cubic meters.

Step-by-step explanation:

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What are the next three terms in the sequence? 2, -3, -6, 18, … -108, -1,944, -209,952 -108, 1,944, -209,952 -108, -1,944, 209,9
Semenov [28]

Answer: -108, -1,944, 209,952

Step-by-step explanation:

The the next term in this sequence is being determined by multiplying the last two numbers of the sequence.

Next three terms are;

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= 18 * -108

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3 years ago
A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from
allochka39001 [22]

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

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x = √33707.128

x = 183.59501

x = 183.6 miles

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3 years ago
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Answer:

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Step-by-step explanation:

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