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Hitman42 [59]
2 years ago
7

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 6 x

- y = 0
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
8 0

The solution of the system of equations contains one point

<h3>How to determine the number of solutions?</h3>

The system is given as:

x + y = 6

x - y = 0

Add both equations

2x = 6

Divide by 2

x = 3

Substitute x = 3 in x - y = 0

3 - y = 0

Solve for y

y = 3

So, we have x =3 and y = 3

Hence, the solution of the system of equations contains one point

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

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In the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.
arsen [322]

Answer:

\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63

Step-by-step explanation:

According to the trigonometric ratios in aright triangle :

\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}

Given:  ΔBCA ~ ΔSTR

Since , corresponding angles of two similar triangles are equal.

So, ∠C = ∠T                            ...(i)    [Middle letter]

In triangle STR

\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63  ...(ii)

From (i) and (ii), we have

\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63

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4 years ago
Shelley read 40 business proposals between 6 am and 11 am. On average how many proposals did she read per hour
UkoKoshka [18]

Answer: 8 proposals per hour

Step-by-step explanation: 40/5 = 8

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Please help ASAP!!! Will give Brainly!!! What are the x-intercepts of the parabola?
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Answer:

I think it's

4.5

5

0.4

0

0

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Step-by-step explanation:

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Read 2 more answers
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