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igomit [66]
3 years ago
9

Solve the system of equations below

Mathematics
1 answer:
DENIUS [597]3 years ago
4 0

Answer:

The answer is B. (-7,-2)

Step-by-step explanation:

Multiply the first equation by 7,and multiply the second equation by -6.

7(−3x+6y=9)

−6(5x+7y=−49)

Becomes:

−21x+42y=63

−30x−42y=294

Add these equations to eliminate y:

−51x=357

Then solve−51x=357for x:

−51x=357 Divide both sides by -51

x=-7

Write down an original equation:

−3x+6y=9

Substitute−7forxin−3x+6y=9:

(−3)(−7)+6y=9

6y+21=9(Simplify both sides of the equation)

6y+21+−21=9+−21(Add -21 to both sides)

6y=−12

y=-2

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Consider the following.
san4es73 [151]

Answer:

Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

Simply replace x with x/2 and solve for x like so

cos(x/2) = 0

x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k   or    x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

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and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

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3 0
3 years ago
A sector with a radius of 15 cm has a central angle measure of 8π/5 what is the area of the sector
Inessa05 [86]

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

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but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm  and angle Ф = 8π/5

area of sector = 1/2 × r² × Ф  

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                         =1/2 ×225 × 8π/5

                          =360π cm²

area of the sector = 360π cm²

8 0
3 years ago
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