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Novay_Z [31]
3 years ago
13

What is the solution to the system of linear equations?

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
The solution is point ( 0, 2)
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The interest rate charged on a credit card account each month is called what?
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Percentage rate ? Xxxx
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3 years ago
What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?
snow_tiger [21]

Answer:

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle \theta that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

v_x = -2\\v_y = -3

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}

However, since we are in the 3rd quadrant, the actual angle is:

\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}

So now we can find the cosine of the angle, which will be negative:

cos \theta = cos(236.3^{\circ})=-0.555

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dangina [55]

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Step-by-step explanation:

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The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is
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Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

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Which expression are equal to the value of 3 in the number 14,397
Irina-Kira [14]

Answer:

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Step-by-step explanation:

This is a place value problem.

 The given figure is;

                14, 397:

Pronounced as;

Fourteen thousand, three hundred and ninety seven:

          14, 397;

                     10 000     ten thousand

                       4000      four thousand

                          300      three hundred

                            90       ninety

                              7         seven

The place value of 3 is hundreds.

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