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Nat2105 [25]
3 years ago
14

What is the slope of the line that goes through the points (1,-5) and (4,1)?

Mathematics
2 answers:
Anna007 [38]3 years ago
3 0

Answer:

D. 2

Step-by-step explanation:

(1 - -5)/(4 - 1) = 6/3 = 2

guapka [62]3 years ago
3 0

Answer: 2

Step-by-step explanation:

The slope of a line through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁)/(x₂ - x₁). In this case, x₁ = 1, y₁ = -5, x₂ = 4, and y₂ = 1. So the slope is:

(1 - (-5))/(4 - 1) = 6/3 = 2

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Simplify: 7√(1/3) + 2 1/3√(1/3) + 3√(147)​
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Step-by-step explanation:

7 √(1/3) - 2 1/3 √(1/3) +3√147

→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)

→ (7/√3) - (7/3√3) +3×7√3

→ (7/√3) - (7/3√3) + 21√3

On Rationalising the denominators then

→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3

The Rationalising factor of√3 =√3

→ (7√3/3)-[7√3/(3×3)]+21√3

→ (7√3/3)-(7√3/9)+21√3

LCM of 3 and 9 = 9

→ [(3×7√3)-(7√3)+(9×21√3)]/9

→ (21√3-7√3+189√3)/9

→[(21-7+189)√3]/9

→ [(210-7)√3]/9

→ 203√3/9 Ans.

Hope this helps.

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2 years ago
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