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2 years ago

Which expression is equivalent to the following complex fraction?

Mathematics

1 answer:

Sladkaya [172]2 years ago

5 0

Answer:

Option B

Step-by-step explanation:

Answered by Gauthmath

lmk if you don't understand my handwriting

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This graph shows a proportional relationship between the number of cello players and the number of violin players in a music gro

Paraphin [41]

8

there are 8 violinists for each cellist.

7 0

3 years ago

Read 2 more answers

When Arjun makes hot cocoa, he adds 20ml of chocolate syrup for every 3 ounces of hot water. Arjun's brother, Eli, adds 45mL of

Digiron [165]

Answer:

Eli

Step-by-step explanation:

Arjun: 20÷3=6.6666666667

6.6666666667mL of chocolate syrup for every ounce of hot water.

Eli: 45÷6=7.5

7.5mL of chocolate syrup for every ounce of hot water

Conclusion: Eli has the hot cocoa with the most chocolate

6 0

3 years ago

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

3 years ago

Part B

EastWind [94]

Answer:

Step-by-step explanation:

the slope of line n is also -3 as it is parallel to m

The answer is A

6 0

3 years ago

Find the solutions to the equation below.<br> Check all that apply.<br> 4x2 + 4x + 1 = 0

Verizon [17]

Answer:

The solution for the given polynomial $4x^2 + 4x+ 1 = 0$ is $x = (\frac{-1}{2})$

Step-by-step explanation:

Here, the given quadratic equation is : $4x^2 + 4x+ 1 = 0$

Now, here solving the given equation by SPLITTING THE MIDDLE TERM:

$4x^2 + 4x+ 1 = 0 = 4x^2 + 2x+ 2x + 1 = 0\\\implies 2x( 2x + 1) + 1(2x + 1) = 0\\\implies (2x +1)(2x +1) = 0\\$

⇒ either (2x+1) = 0, or ( 2x + 1) = 0

⇒ x = -1/2 or x = -1/2

Here, in both the cases, the value of x is equal i.e x = -1/2

So, the given function has TWO IDENTICAL ROOTS.

Hence the solution for the given polynomial $4x^2 + 4x+ 1 = 0$ is $x = (\frac{-1}{2})$

4 0

3 years ago

Which expression is equivalent to the following complex fraction? ​

Which expression is equivalent to the following complex fraction?