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3 years ago

Expand and simplify 2(x-4) -3 (x-6)

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

Answer:

-x + 10

Step-by-step explanation:

Remove the brackets

2*x - 2*4 - 3*x - 3* -6

2x - 8 - 3x + 18

-x + 10

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3 years ago

Evaluate the expression below when x = 4, y = 5<br><br> 3(y-x) + 4y

likoan [24]

Answer:

Step-by-step explanation:

Brackets go first, 5 (y) - 4 (x) = 1. Now, 3 x 1 = 3, you do this because of the 3 next to the brackets. Now add them together.

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3 years ago

The width of a rectangular room is 60 percent of its length. the length of the room is 10 feet. what is the area of the room

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4 years ago

Read 2 more answers

Please help ! And explain if u can

irga5000 [103]

Answer:

Scalene Triangle

Step-by-step explanation:

If you mark the points on the graph, all three sides have different lengths and angles, therefor it is a scalene triangle.

It cannot be a right triangke bc there is no right angle, and no obtuse either so that crosses out obtuse as an option as well. In order to be an isoceles triangle it must have two sides of equal length, but it does not.

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3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

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4 years ago

Expand and simplify 2(x-4) -3 (x-6)​

Expand and simplify 2(x-4) -3 (x-6)