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ArbitrLikvidat [17]
3 years ago
15

Y=3x+62x+4y=−4 What is the value of y in the system?

Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

We assume you want to find y such that ...

  • y = 3x +6
  • 2x +4y = -4

Dividing the second equation by 2, we can write an expression for x.

  x +2y = -2

  x = -2y -2

Substituting this into the first equation gives ...

  y = 3(-2y -2) +6

  y = -6y -6 +6 . . . eliminate parentheses

  7y = 0 . . . . . . . . . add 6y

  y = 0 . . . . . . . . . . divide by 7

The value of y in the system of equations is 0.

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Find the 7th term of the number pattern of general term 5n-4​
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Step-by-step explanation:

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3. The rectangle below has an area of 297 in. Find the length of the diagonal.
saul85 [17]

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

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  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

7 0
3 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
shusha [124]

Answer:convergent

Step-by-step explanation:

Given

Improper Integral I is given as

I=\int_{-\infty}^{0}1000e^xdx

I=1000=\int_{-\infty}^{0}e^xdx

integration of e^x is e^x

I=1000\times \left [ e^x\right ]^{0}_{-\infty}

I=1000\times I=\left [ e^0-e^{-\infty}\right ]

I=1000\times \left [ e^0-\frac{1}{e^{\infty}}\right ]

I=1000\times 1=1000

so the integration converges to 1000 units  

6 0
3 years ago
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