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Soloha48 [4]
3 years ago
13

How do I show my work for -3(5-2x)-3x=3

Mathematics
1 answer:
devlian [24]3 years ago
5 0

Answer: x=6

Step-by-step explanation:

3(5-2x)-3x=3

-15+6x-3x=3

-15+3x=3

3x=3+15

3x= 18

x=6

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Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.
ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0

\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}

Since dx/dt=−2, we have that:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

When y = π/4, x is given by:

xcos(y) = 2.

x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}

Hence:

\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}

\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}

Since cot(pi/4) = 1, we have that:

\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
1 year ago
A rhombus that is a rectangle is called
lora16 [44]

square ?

although this statement doesn't make any sense.

4 0
3 years ago
Read 2 more answers
How do you do this step by step?​
cupoosta [38]
48 degrees and the 5x-17 are alternative interior angles meaning they’re equal so you set the equation up as 5x-17=48, you then add the 17 to the 48 clearing it from the left side of the equation and you get 5x=65 you then divide the 65 by 5 and you get 13 which means x=13. To solve for Y you need to realize that Y+48 MUST equal 180 because they are supplementary angles so you solve by subtracting 48 from 180 and you end up with Y=132 DEGREES don’t forget to add you label. Hope that helped.
3 0
3 years ago
The diameter of a sphere is 11.8m calculate the spheres volume
Iteru [2.4K]
The volume is 860.29m³
8 0
3 years ago
A bicycle shop is selling $500.00 bikes at 10% off.If the sales tax is 7% how much will the bike cost?
Nuetrik [128]

Answer:

481.50$

Step-by-step explanation:

10% of 500$= 10/100x500= 50$

500$- the 10% that was taken out=500$-50$= 450$

The sales tax = 7% of 450$= 7/100x 450$= 31.50$

450$ + added sales tax= 450$+ 31.50$= 481.50$

7 0
3 years ago
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