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3 years ago

Which ordered pair is a solution to the system of equations?

Mathematics

1 answer:

iren2701 [21]3 years ago

3 0

(- 2, - 3) is a solution to the given system of equations.

Answer: Option D

Step-by-step explanation:

Given equation are not presented in proper format. So, let assume the given system of are as below,

2 x - y = -1

2 x -4 y = 8

Now, subtract the second equation from the first, we get

(2 x - y) -(2 x - 4 y) = -1 -8

3 y = -9

y = -3 (obtained this when divide by 3)

Substituting y = - 3 into the first equation, we get

2 x - (-3) = - 1

2 x = - 1 + 3

x = - 2 (obtained when divide by 2)

Now, the answer is (x, y) = (- 2, - 3)

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Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

5 0

2 years ago

by selling a mobile set of rupees 4800 Ramesh gains 25% how much will have we gained by selling it at rupees 4080

Crank

Answer:

240

Step-by-step explanation:

Gain=25%

Gain=selling price - cost price

Gain = ((selling price - cost price )× 100)/ cost price

25c=(4800-c)100

25c=480000-100c

125c=480000

cost price = 3840

second statement

The selling price was 4080

Cost price 3840

therefore

Gain=selling price - cost price

Gain = 4080-3840

=240

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3 years ago

How to write y-1=-x-6 In slope intercept form

DiKsa [7]

y=-x-5. you just need to add 1 to another side to get rid of 1 from the left side

4 0

3 years ago

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Triangle QRS is a right triangle.

olasank [31]

Answer:

5.3

Step-by-step explanation:

a² + b² =² c² the Pythagorean theorem

RQ² + RS² = QS² Solve RS

6² + RS² = 8²

RS² = 64 -36

RS² = 28

RS = √28 28 is slightly > 25 and since √25 =5

RS = 5.3 actually 5.2915 to a few more significant digits

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3 years ago

Jerome got in the elevator on the first floor of his office building. He went up 18 floors to his office. Then, Jerome took the

steposvetlana [31]

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8 + 5 = 13

C. thirteenth is your answer

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7 0

3 years ago

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