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3 years ago

HELP Find the least common denominator (LCD) of eight ninths and 1 and one third.

Mathematics

2 answers:

ElenaW [278]3 years ago

4 0

Answer:

Step-by-step explanation:

Ludmilka [50]3 years ago

3 0

9 is the LCD of 8/9 and 1/3. please mark thanks!

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Using the quadratic formula, which of the following is the solution to the quadratic equation below? x^-6x+11=0

ValentinkaMS [17]

Answer:

n,fl;n'fgn'fgnfg

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fnfvnmtep-by-step explanation:

7 0

3 years ago

Rectangle A has side lengths of 6\text{ cm}6 cm6, start text, space, c, m, end text and 3.5\text{ cm}3.5 cm3, point, 5, start te

sergiy2304 [10]

The side lengths of rectangle is 3 cm and 1.75 cm and 5.25 cm and 9 cm.

According to the statement

we have given that Rectangle A has side lengths of 6 cm and 3.5 cm

And The side lengths of rectangle B are proportional to the side lengths of rectangle A.

And we have to Find that the What could be the side lengths of rectangle B?

A 3 cm and 1.75 cm

B 5 cm and 2.5 cm

C 7 cm and 7 cm

D 12 cm and 5 cm

E 5.25 cm and 9 cm

Here we see that the side B are proportional to side length A of rectangle.

So,

Let say sides of rectangle B are a and b corresponding to sides 6 and 3.5 cm

=> a/6 = b/3.5

=> a/b = 6/3.5

=> a/b = 12/7

A 3 cm and 1.75 cm

3/1.75 = 12/7

Hence this is proportional

B 5 cm and 2.5 cm

5/2.5 = 2 ≠ 12/7

Not Proportional

C 7 cm and 7 cm

7/7 = 1 ≠ 12/7

Not Proportional

D 12 cm and 5 cm

12/5 ≠ 12/7

Not Proportional

E 5.25 cm and 9 cm

9/5.25 = 36/21 = 12/7

Hence this is proportional

So, 3 cm and 1.75 cm and 5.25 cm and 9 cm could be the side lengths of rectangle B.

Learn more about Rectangles here brainly.com/question/18019422

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2 years ago

What is the factor form of 27d^6+8g^12

tresset_1 [31]

Answer:

(z + 3) • (z - 3) • (z - 1)

Step-by-step explanation:

6 0

3 years ago

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Solve the separable differential equation:dx/dt= x^2+ (1/9) and find the particular solution satisfying the initial condition: x

sveticcg [70]

Answer:

The particular solution satisfying the initial condition, $x(0)=6$ , of the differential equation $\frac{dx}{dt}=x^2+\frac{1}{9}$ is $x=\frac{\tan \left(\frac{t+3\arctan \left(18\right)}{3}\right)}{3}$ .

Step-by-step explanation:

A separable differential equation is any differential equation that we can write in the following form.

$N(y)\frac{dy}{dx}=M(x)$

We may find the solutions to certain separable differential equations by separating variables, integrating with respect to x, and ultimately solving the resulting algebraic equation for y.

To find the solution of the differential equation $\frac{dx}{dt}=x^2+\frac{1}{9}$ you must:

Separate the differential equation and integrate both sides.

$dx=(x^2+\frac{1}{9})\cdot dt\\ \\\frac{dx}{x^2+\frac{1}{9}} =dt\\\\\int {\frac{dx}{x^2+\frac{1}{9}}} =\int dt$

Solving $\int \frac{dx}{x^2+\frac{1}{9}}$

$\mathrm{Apply\:Integral\:Substitution:}\:x=\frac{1}{3}u\\\\\int \frac{3}{u^2+1}du\\\\3\cdot \int \frac{1}{u^2+1}du\\\\\mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u^2+1}du=\arctan \left(u\right)\\\\3\arctan \left(u\right)\\\\\mathrm{Substitute\:back}\:u=\frac{x}{\frac{1}{3}}\\\\3\arctan \left(3x\right)\\\\\int \frac{1}{x^2+\frac{1}{9}}dx=3\arctan \left(3x\right)+C$

Therefore,

$\int {\frac{dx}{x^2+\frac{1}{9}}} =\int dt\\\\3\arctan \left(3x\right)+C=t+D\\\\3\arctan \left(3x\right)=t+D-C\\\\3\arctan \left(3x\right)=t+E$

Now, we use the initial condition $x(0)=6$ to find the value of the constant E.

$3\arctan \left(3(6)\right)=0+E\\E=3\arctan \left(18\right)$

Thus,

$3\arctan \left(3x\right)=t+3\arctan \left(18\right)$

and we solve for x,

$\frac{3\arctan \left(3x\right)}{3}=\frac{t}{3}+\frac{3\arctan \left(18\right)}{3}\\\\\arctan \left(3x\right)=\frac{t+3\arctan \left(18\right)}{3}\\\\\arctan \left(x\right)=a\quad \Rightarrow \quad \:x=\tan \left(a\right)\\\\3x=\tan \left(\frac{t+3\arctan \left(18\right)}{3}\right)\\\\x=\frac{\tan \left(\frac{t+3\arctan \left(18\right)}{3}\right)}{3}$

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3 years ago

Which of the following are examples of centripetal acceleration? Check all that apply. A. A car moving down a straight road B. A

Rainbow [258]

The best answers is A, D

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3 years ago

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