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2 years ago

I need some help to find the equation in point slope form

Mathematics

1 answer:

polet [3.4K]2 years ago

4 0

55u8383939wjeir383893irjt83ie9rjt8r

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Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$

Substituting x=27 we get

∴ Length of Longer leg = x + 9 =27 +9 = 36 feet

∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0

2 years ago

A car dealership is having a sale where all cars have a 12% discount. What is the discounted price of a car that originally cost

Yuliya22 [10]

Answer:

show us a photo

Step-by-step explanation:

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2 years ago

I need the simplified expression for this please

morpeh [17]

2/3x - 2/3x4
2/3x - 8/3

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2 years ago

In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of

frosja888 [35]

Answer:

3/10 is orange juice.

Step-by-step explanation:

Step 1: Find the total mL in the concoction

15 + 25 + 10 = 50 mL in a fruit cocktail

Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail

15/50 = 3/10

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3 years ago

2x2-2x-12=0 show expression in factored form show work what do the solutions mean

Nookie1986 [14]

Answer:

x= −2 or x=3

Step-by-step explanation:

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2 years ago

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