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3 years ago

14

What is the solution for the system of linear equations?

1 answer:

monitta3 years ago

6 0

The correct answer is A
Hope this helped :)

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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx

uranmaximum [27]

Given the differential equation

$5t^3 \frac{dx}{dt} +2x-2=0$

The solution is as follows:

$5t^3 \frac{dx}{dt} +2x-2=0 \\ \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\ \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\ \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\ \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\ \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\ \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\ \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\ \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1$

3 0

2 years ago

Tanya [424]

Answer:

A

Step-by-step explanation:

Given

9 > - 2m + 2 - 3, that is

9 > - 2m - 1 ( add 1 to both sides )

10 > - 2m

Divide both sides by - 2, reversing the symbol as a result if dividing by a negative quantity.

- 5 < m , thus

m > - 5 → A

6 0

2 years ago

Read 2 more answers

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.

Zolol [24]

Answer:

21

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Add and simplify 1/5 + 1/10

aliya0001 [1]

In order to add these fractions we have to make a common denominator.

1/5 can turn into 2/10 Its the same thing. And its easier to solve with.

now lets multiply.

$\frac{2}{10}$ × $\frac{1}{10}$

Now we add across

2 + 1 = 3

------------

10 + 10 = 10 ( When adding fractions like these the denominator stays the same)

So your answer is...

$\frac{3}{10}$

Good Luck! :)

7 0

2 years ago

Write the equation of the line in fully simplified slope-intercept form.

kodGreya [7K]

Answer:

y = -x - 8

Step-by-step explanation:

Slope is -1 and y intercept is -8

4 0

2 years ago