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EastWind [94]
2 years ago
14

Find the least common denominator for these

Mathematics
1 answer:
baherus [9]2 years ago
8 0

Answer:

The least common denominator of the two rational expressions is (x+2)^{2}\cdot (x+3).

Step-by-step explanation:

Let be the following rational expressions:

\frac{x^{3}}{x^{2}+4\cdot x + 4}, \frac{-9}{x^{2}+5\cdot x + 6}

Then, we factor each denominator:

\frac{x^{3}}{(x+2)^{2}}, \frac{-9}{(x+3)\cdot (x+2)}

Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:

\frac{x^{3}}{(x+2)^{2}} \rightarrow (x+3)

\frac{-9}{(x+3)\cdot (x+2)} \rightarrow (x+2)

Hence, we conclude that least common denominator of the two rational expressions is (x+2)^{2}\cdot (x+3).

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I need to find side x in its simplest radical form using the special right triangles method
crimeas [40]

Answer:

\sqrt{6}

Explanation:

From the given diagram,

Hypotenuse sde = x

Opposite side = \sqrt{3}

Using the SOH CAH TOA identity

Sintheta = opposite/hypotenuse

Sin 45 = \sqrt{3}/x

x = \sqrt{3}/sin45

\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}

Hence the value of x is \sqrt{6}

5 0
1 year ago
2. Jill works for Fast Food Inc. and earns $332 per week and is paid bi-weekly. How much is deducted
adoni [48]

Answer:

Social Security: $9.63                                                                                    

Step-by-step explanation:

5 0
2 years ago
Ry-wy=t solve for y
Greeley [361]

Answer:

y = \frac{t}{R-w}

Step-by-step explanation:

Given

Ry - wy = t ← factor out y from each term on the left side

y(R - w) = t ( divide both sides by (R - w ) )

y = \frac{t}{R-w}

3 0
3 years ago
Read 2 more answers
NEED HELP ASAP WILL GIVE BRAINLIEST
saveliy_v [14]

Answer: x=-2 and y=-2

Step-by-step-explaination:

To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get

2(2x) +2(y) = 2(-6)

4x + 2y = -12

Next, subtract the second equation from the first to cancel out the y’s

4x + 2y =-12

-(-8x + 2y = -12)

————————

12x = -24

Solve

X = -24/12

X=-2

Plug x into the original equation to find y

2(-2) + y = -6

-4 + y = -6

Y = -6 +4

Y=-2

You can substitute x and y into the original equations to double check

3 0
3 years ago
An electrical company uses the function f(h)=15h+75 to calculate the total repair bill, f(h), for h number of hours worked. Find
Vadim26 [7]
Hello!
Set the equation to show equal 15h+75=225.
Solve for h which h=10
Have a great day!
8 0
3 years ago
Read 2 more answers
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