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Hunter-Best [27]
2 years ago
6

What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)

Mathematics
1 answer:
Rashid [163]2 years ago
6 0

Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

m = \frac{y_2-y_1}{x_2-x_1}

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}

Hence,

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

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Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?
yuradex [85]

The mother is older than her daughter by \frac{3}{4}m years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

  • Put the age of mother equal 4 times the age of daughter
  • Find the age of daughter
  • Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ \frac{1}{4}m = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - \frac{1}{4}m

- Change 1 m to a fraction of denominator 4, then 1 m = \frac{4}{4}m

∴ The difference between their ages = \frac{4}{4}m - \frac{1}{4}m = \frac{3}{4}m

∴ The mother is older than her daughter by \frac{3}{4}m years

The mother is older than her daughter by \frac{3}{4}m years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

1

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49

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Answer:

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