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3 years ago

Solve the system of equations.

Mathematics

1 answer:

professor190 [17]3 years ago

4 0

Answer:

Hello,

-4 x + 11 y = 15 ⇔ -4 (2 y) + 11 y = 15 ⇔ 3 y = 15 ⇔ y = 5

x = 2 y = 10

Step-by-step explanation:

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Which of the following illustrates a phase shift?

Natasha_Volkova [10]

Answer:

A. y = -2 - cos(x-π)

Explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

$\frac{2\pi}{B}$ is the period

$\frac{-C}{B}$ is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

$\frac{-C}{B} = \frac{\pi}{1} = \pi$

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

$\frac{-C}{B} = \frac{0}{4} = 0$

Therefore, the function has no phase shift

C. y = tan(2x)

$\frac{-C}{B} = \frac{0}{2} = 0$

Therefore, the function has no phase shift

D. y = 1 + sin(x)

$\frac{-C}{B} = \frac{0}{1} = 0$

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)

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3 years ago

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If an object has a mass of 450 kg and is moving at 15 m/s, What is that object's momentum?

Vikentia [17]

$p=mv=450\mathrm{kg}\cdot15\mathrm{\frac{m}{s}}=6750\mathrm{\frac{kgm}{s}}$ .

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3 years ago

Solve for x: |2x + 12| = 18 (5 points)

steposvetlana [31]

The answer is x=3 you (18-12=6/2=3)

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Find the equation of the line with slope 2 that passes through the point (4,-8)

sesenic [268]

Step-by-step explanation:

Given point (4 , -8) , slope (m) = 2

Now

the equation of line is

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y +8 = 2 ( x -4)

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which is the required equation

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3 years ago

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3 years ago