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3 years ago

Can someone help me with school

Mathematics

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Natasha2012 [34]3 years ago

4 0

??? ??? I was also looking for the answer

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Which of the following is true about the system 4/3x−2/5y=2 and 3x−2y=−1?

lilavasa [31]

Equation 1 is $\frac{4}{3}x -\frac{2}{5}y =2$ ,

Equation 2 is [/tex] 3x-2y = -1 [/tex]

for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15

$\frac{4}{3} *15x -\frac{2}{5}*15 y =2*15$

$20x - 6y = 30$

Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

$-9x+6y = 3$

Add both the equations

$20x -9x -6y +6y = 30+3$

$11x= 33$

Divide both sides by 11

$x=3$

Plug in any one of the equation we get

3(3) -2y = -1

9 - 2y = -1

subtract 9 from both sides

-2y = -10

divide both sides by -2

y=5

So the solution is x= 3 , y= 5

Which means

a. The system is consistent and independent. TRUE

7 0

3 years ago

Construct a triangle with the given dimensions:

lyudmila [28]

Answer:

Picture

Step-by-step explanation:

I am not sure if this is what you want

4 0

3 years ago

Read 2 more answers

The parabola y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 4/3 What is the equation of the new

Strike441 [17]

Answer: y = $-\frac{4}{3}x^{2}$

<u>Step-by-step explanation:</u>

y = ax² ; where a represents the vertical stretch

a reflection across the x-axis is represented by making the a-value negative.

7 0

3 years ago

Read 2 more answers

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

4x-6>22 explain or prove if 5 or 8 is a solution to the inequality

babunello [35]

Answer:

Step-by-step explanation:

4(5) - 6 = 14

14 is not larger than 22, so 5 is not the solution.

4(8) - 6 = 26

26 is larger than 22, so 8 is the solution

3 0

3 years ago