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2 years ago

Can anyone plz solve this ?? -7 (1+3x) =4+5x

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

3 0

Step-by-step explanation:

-7(1+3x) = 4 + 5x

-7 - 21x = 4 + 5x

(get all the variables on one side. Don't forget to change the signs)

-7-4 = 5x + 21x

-11 = 26x

(divide both sides by the coefficient [26])

26x/26= -11/26

x = -11/26

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Evaluate the integral by making an appropriate change of variables.

VARVARA [1.3K]

By inspecting the integrand, the "obvious" choice for substitution would be

u = y + x

v = y - x

Solving for x and y, we would have

x = (u - v)/2

y = (u + v)/2

in which case the Jacobian and its determinant are

$J=\begin{bmatrix}x_u&x_v\\y_u&y_v\end{bmatrix}=\dfrac12\begin{bmatrix}1&-1\\1&1\end{bmatrix}\implies|\det J|=\left|\dfrac12\right|=\dfrac12$

The trapezoid R has two of its edges on the lines x + y = 8 and x + y = 9, so right away, we have 8 ≤ u ≤ 9.

Then for v, we observe that when x = 0 (the lowest edge of R), v = y ; similarly, when y = 0 (the leftmost edge of R), v = -x. So

-x ≤ v ≤ y

-(u - v)/2 ≤ v ≤ (u + v)/2

-u + v ≤ 2v ≤ u + v

-u ≤ v ≤ u

So, the integral becomes

$\displaystyle\iint_R5\cos\left(7\frac{y-x}{y+x}\right)\,\mathrm dA=\int_8^9\int_{-u}^u\frac52\cos\left(\frac{7v}u\right)\,\mathrm dv\,\mathrm du$

$=\displaystyle\frac52\int_8^9\frac u7(\sin7-\sin(-7))\,\mathrm du$

$=\displaystyle\frac57\sin7\int_8^9u\,\mathrm du$

$=\displaystyle\frac5{14}\sin7(9^2-8^2)=\boxed{\frac{85}{14}\sin7}$

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2 years ago

Is this triangle congruent? pls answer i will mark you brainlyist :)

tiny-mole [99]

Answer:

Step-by-step explanation:

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3 years ago

Most everyday purchases at the store are labeled with the price of the item before sales tax. Which expression could

goldfiish [28.3K]

Answer:

the answer is c.

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3 years ago

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What is the five number summary for the data set 0,2,2,4,5,5,5,5,7,11

dimaraw [331]

Answer:

The median/middle is 5 and the minimum is 0 and the maximum is 11. The first quartile is 7/5= 1.4 and the second is 4/2 = 2

Step-by-step explanation:

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2 years ago

Hich ordered pair is the solution to the system of equations? {x=(1)/(2)y+5} {2x+3y=-14}

faltersainse [42]

Answer:

(2, - 6 )

Step-by-step explanation:

Given the 2 equations

x = $\frac{1}{2}$ y + 5 → (1)

2x + 3y = - 14 → (2)

Substitute x = $\frac{1}{2}$ y + 5 into (2)

2( $\frac{1}{2}$ y + 5 ) + 3y = - 14 ← distribute and simplify left side

y + 10 + 3y = - 14

4y + 10 = - 14 ( subtract 10 from both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Substitute y = - 6 into (1) for corresponding value of x

x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2

Solution is (2, - 6 )

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3 years ago

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