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3 years ago

The difference of twice a number and 6 is less than - 18.

Mathematics

1 answer:

oee [108]3 years ago

4 0

Answer:

2x-6<-18

Step-by-step explanation:

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What is the distance between (7, 1) and (4, -5)?

marusya05 [52]

The distance between those to points is d=6.708204 or d=6

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3 years ago

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Simplify xz³ × 4x⁴z⁵

Inessa [10]

Answer:

4x⁵z8

Step-by-step explanation:

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3 years ago

PLEASE HELP ME ASAP ITS TIMED

WINSTONCH [101]

Answer:

The solution is (2, 1).

All other ordered pairs do not work.

Step-by-step explanation:

-2x + 5y = 1

5x - 3y = 7

-10x + 25y = 5

10x - 6y = 14

19y = 19

y = 1

5x - 3(1) = 7

5x = 10

x = 2

(2, 1)

The solution is (2, 1).

All other ordered pairs do not work.

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3 years ago

The time is 7:35am what is the time in the24 hour clock

elixir [45]

7:35am in the 24 hour clock would still be 7:35am but if its 7:35pm we'll add 12 to the 7 which would then be 19:35

7 0

3 years ago

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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:

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

3 0

4 years ago