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3 years ago

6

Plzzz help zoom in to see hurry!!!

2 answers:

neonofarm [45]3 years ago

4 0

Answer:

S

Step-by-step explanation:

Alexxx [7]3 years ago

3 0

Answer:

S

Step-by-step explanation:

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Determine if JK and LM are parallel ,perpendicular, or neither. J(13,-5) K(2,6) L(-1,-5) M(-4,-2)

barxatty [35]

Answer:

The lines are parallel

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Find the slope JK

we have

$J(13,-5),K(2,6)$

substitute the values

$m=\frac{6+5}{2-13}$

$m=\frac{11}{-11}$

$m_J_K=-1$

step 2

Find the slope LM

we have

$L(-1,-5),M(-4,-2)$

substitute the values

$m=\frac{-2+5}{-4+1}$

$m=\frac{3}{-3}$

$m_L_M=-1$

step 3

Compare the slopes

$m_J_K=-1$

$m_L_M=-1$

so

$m_J_K=m_L_M$

therefore

The lines are parallel

7 0

4 years ago

Solve the nonhomogeneous differential equation y′′+25y=cos(5x)+sin(5x). Find the most general solution to the associated homogen

Marrrta [24]

Answer:

$y(x)=c_1cos(5x)+c_2sin(5x)+0.1xsin(5x)-0.1xcos(5x)$

Step-by-step explanation:

The general solution will be the sum of the complementary solution and the particular solution:

$y(x)=y_c(x)+y_p(x)$

In order to find the complementary solution you need to solve:

$y''+25y=0$

Using the characteristic equation, we may have three cases:

Real roots:

$y(x)=c_1e^{r_1x} +c_2e^{r_2x}$

Repeated roots:

$y(x)=c_1e^{rx} +c_2xe^{rx}$

Complex roots:

$y(x)=c_1e^{\lambda x}cos(\mu x) +c_2e^{\lambda x}sin(\mu x)\\\\Where:\\\\r_1_,_2=\lambda \pm \mu i$

Hence:

$r^{2} +25=0$

Solving for $r$ :

$r=\pm5i$

Since we got complex roots, the complementary solution will be given by:

$y_c(x)=c_1cos(5x)+c_2sin(5x)$

Now using undetermined coefficients, the particular solution is of the form:

$y_p=x(a_1cos(5x)+a_2sin(5x) )$

Note: $y_p$ was multiplied by x to account for $cos(5x)$ and $sin(5x)$ in the complementary solution.

Find the second derivative of $y_p$ in order to find the constants $a_1$ and $a_2$ :

$y_p''(x)=10a_2cos(5x)-25a_1xcos(5x)-10a_1sin(5x)-25a_2xsin(5x)$

Substitute the particular solution into the differential equation:

$10a_2cos(5x)-25a_1xcos(5x)-10a_1sin(5x)-25a_2xsin(5x)+25(a_1xcos(5x)+a_2xsin(5x))=cos(5x)+sin(5x)$

Simplifying:

$10a_2cos(5x)-10a_1sin(5x)=cos(5x)+sin(5x)$

Equate the coefficients of $cos(5x)$ and $sin(5x)$ on both sides of the equation:

$10a_2=1\\\\-10a_1=1$

So:

$a_2=\frac{1}{10} =0.1\\\\a_1=-\frac{1}{10} =-0.1$

Substitute the value of the constants into the particular equation:

$y_p(x)=-0.1xa_1cos(5x)+0.1xsin(5x)$

Therefore, the general solution is:

$y(x)=y_c(x)+y_p(x)$

$y(x)=c_1cos(5x)+c_2sin(5x)+0.1xsin(5x)-0.1xcos(5x)$

6 0

3 years ago

A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectang

disa [49]

The answer and explanation is given in the picture below

I hope it helps.

3 0

3 years ago

The number of calories burned while jogging varies directly with the number of minutes spent jogging.

seropon [69]

Answer:

350.5

Step-by-step explanation:

3 0

3 years ago

In a blueprint for a house, the scale is 1 inch = 5 feet. In the blueprint, one room

Dimas [21]

for each inch is 5 feet, so for each 0.5 aka 1/2 inch, it would be 2.5 inches

2in: 5+5=10ft

2.5in: 5+5+2.5=12.5ft

or just simply mutiply by 2

2(5)= 10ft

2.5 inches so 2.5(5)=12.5

The dimensions of the actual room are 10 feet by 12.5 feet

5 0

3 years ago