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qaws [65]
3 years ago
13

Find an equation of the line in the form whose​ x-intercept is 15 and​ y-intercept is 3​, where​ a, b, and c are integers with n

o factor common to all​ three, and agreater than or equals0
Mathematics
1 answer:
madreJ [45]3 years ago
5 0

x-intercept = (15, 0)                  y-intercept = (0, 3)

slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5

Point-Slope formula: y - y₁ = m(x - x₁)   ; where (x₁, y₁) is one of the given points

y - 0 = (-1/5)(x - 15)

    -5y = x - 15

             x + 5y = 15

Answer: x + 5y = 15

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Use the Addition Formula for Cosine to prove the Double-Angle Formula for Cosine. cos(2x) = cos2(x) − sin2(x) Rewrite 2x as x +
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Answer with Step-by-step explanation:

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The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than th
Katarina [22]
<h3>Answers:</h3><h3>The shortest side is 15 ft</h3><h3>The middle side is 18 ft</h3><h3>The longest side is 26 ft</h3>

===========================================

Define the three sides to be a,b,c such that a < b < c

So c is the longest side, and 'a' is the shortest with b in the middle.

"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4

"third side is 3 ft longer than the shortest side" so b = a+3

Both b and c are in terms of 'a', allowing us to do substitutions like so

a+b+c = perimeter

a+b+c = 59

a+(a+3)+c = 59 .... first substitution, plug in b = a+3

a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4

4a-1 = 59 .... combine like terms

4a = 59+1 ... add 1 to both sides

4a = 60

a = 60/4 ... divide both sides by 4

a = 15

The shortest side is 15 ft

b = a+3 = 15+3 = 18

The middle side is 18 ft

c = 2a-4 = 2*15-4 = 26

The longest side is 26 ft

---------------------

Check:

The three sides should add up to a perimeter of 59 ft

a+b+c = 15+18+26 = 59

so the answer is confirmed

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