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Tju [1.3M]
2 years ago
12

How many solutions does the system of equations have? What is the solution?

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
3 0

Answer:

1 solution:  (1, 4)

Step-by-step explanation:

The two lines shown intersect ONCE, at (1, 4).  This (1, 4) is the solution.  There is only one solution.

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How many different orders can three students be selected from 10?
KATRIN_1 [288]
That would be the number of permutations of 3 from 10.

= 10P3  =  10! / 7! =  10*9*8 =  720
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Solve the equation for x in terms of c
Dovator [93]

solve\:for\:x,\:\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}

\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}

\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}

\frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11}{4}

\mathrm{Multiply\:both\:sides\:by\:}3

3\cdot \frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11\cdot \:3}{4}

2cx+1=\frac{33}{4}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

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2cx=\frac{29}{4}

\mathrm{Divide\:both\:sides\:by\:}2c

x=\frac{29}{8c}

<h3>Therefore, correct option is C. option.</h3><h3>C. x=29/8c</h3>
8 0
3 years ago
Emile paid $3.96 for 4 songs.
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Answer:

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iVinArrow [24]

Answer:

x = 22.5°

Step-by-step explanation:

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DE || AB

m∠EAB = 2x  - by Alternate Interior Angles

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<h2>Exterior Angles of a Triangle:</h2>

An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.

In this example, we know that 6x has remote angles of ∠EAB and ∠BEA

We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x

<h2>Sum of angles in a Triangle:</h2>

The sum of all angles in a triangle is equal to 180°.

In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x

Since the sum of all angles = 180°:

8x = 180°

x = 180°/8

x = 22.5°

-Chetan K

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Answer:

yes

Step-by-step explanation:

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