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3 years ago

What is the distributive property of 2(3+6y)

Mathematics

1 answer:

serious [3.7K]3 years ago

7 0

Answer:

6+12y

Step-by-step explanation:

first, distribute the 2 to the parenthesis:

-multiply the 2 to the 3 and 6y

We get 6+12y

hope this helps :)

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Suppose your car averages 38 miles per gallon on the high-

Stella [2.4K]

Answer:

a. around 36.36 hours; around 28.57 hours

b. $134.21; $159.38

Step-by-step explanation:

4 0

3 years ago

7b + 3 – 4b = 3 – 3(b + 4)

svlad2 [7]

Hello from MrBillDoesMath!

Answer: b

Discussion:

7b + 3 - 4b = 3 - 3(b+4) =>

7b + 3 - 4b = 3 - 3b -12 =>

(7b - 4b) + 3 = -3b - 9 =>

3b + 3 = -3b -9 => Add 9 to both sides

3b + 12 = -3b -9 + 9 =>

3b + 12 = -3b => ( add 3b to both sides)

6b + 12 = 0 => (subtract 12 from both sides)

6b = -12 =>

b = -12/6 = -2

Thank you,

MrB

7 0

3 years ago

Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

Notice that the left side can be condensed as the derivative of a product:

$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

$\implies y(x)=\dfrac{x^5}6+\dfrac Cx$

Since $y(1)=1$ ,

$1=\dfrac16+C\implies C=\dfrac56$

so that

$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

4 0

3 years ago

The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t

larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle $\theta$ , is 1.42. We are asked to find the length of the side opposite angle $\theta$ .

We can represent our given information in an equation as:

$\text{tan}(\theta)=1.42$

Now, we will use arctan to solve for theta as:

$\theta=\text{tan}^{-1}(1.42)$

$\theta=54.85^{\circ}$

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}$

$20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}$

$20\cdot 0.81764=\text{Opposite}$

$\text{Opposite}=20\cdot 0.81764$

$\text{Opposite}=16.3528$

$\text{Opposite}=16.4$

Therefore, the opposite side to angle theta is 16.4 feet.

5 0

3 years ago

Read 2 more answers

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grin007 [14]

Is 3 cm the height of the triangle?

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3 years ago