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wolverine [178]
3 years ago
12

Which is the best approximation for the solution of the system of equations? y=-2/5x+1 y=3x-2

Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

x = 15/17  , y = 11/17

Step-by-step explanation:

Solve the following system:

{y = 1 - (2 x)/5 | (equation 1)

{y = 3 x - 2 | (equation 2)

Express the system in standard form:

{(2 x)/5 + y = 1 | (equation 1)

{-(3 x) + y = -2 | (equation 2)

Swap equation 1 with equation 2:

{-(3 x) + y = -2 | (equation 1)

{(2 x)/5 + y = 1 | (equation 2)

Add 2/15 × (equation 1) to equation 2:

{-(3 x) + y = -2 | (equation 1)

{0 x+(17 y)/15 = 11/15 | (equation 2)

Multiply equation 2 by 15:

{-(3 x) + y = -2 | (equation 1)

{0 x+17 y = 11 | (equation 2)

Divide equation 2 by 17:

{-(3 x) + y = -2 | (equation 1)

{0 x+y = 11/17 | (equation 2)

Subtract equation 2 from equation 1:

{-(3 x)+0 y = -45/17 | (equation 1)

{0 x+y = 11/17 | (equation 2)

Divide equation 1 by -3:

{x+0 y = 15/17 | (equation 1)

v0 x+y = 11/17 | (equation 2)

Collect results:

Answer: {x = 15/17  , y = 11/17

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The slope of the line containing the points (6, 4) and (-5, 3) is:<br><br> 1<br> -1<br> 1/11
julsineya [31]

Answer:

1/11

Step-by-step explanation:

(6, 4) and (-5, 3)

Slope:

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m=(3-4)/(-5-6)

m= (-1)/(-11)

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3 years ago
Solve #3 Find the length of the missing side.a) A right triangle has a side length 2.4 cm and 6.5 cm. What is the length of the
Snezhnost [94]

Answer:

A) ≈ 6.93

B) ≈ 0.02

Step-by-step explanation:

A)

Formula : a² + b² = c²

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c = √48.01

c ≈ 6.93

B)

Formula = c² - a² = b²

1/3² - 1/4² = b²

1/9 - 1/16 = b²

b = √7/144

b ≈ 0.02

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
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Step-by-step explanation:

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Hi mate!

The answer after simplifying is: 2x^2-6x+7

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How does 2π/4 simplify to π/4?
lana [24]
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3 years ago
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