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user100 [1]
3 years ago
7

How many solutions will the following system of linear equations have? –2x + 4y = –7 y= -1/2x + 5 A. 0 B. 1 C. 2 D. infinite

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
7 0

Answer:

B. 1

Step-by-step explanation:

they only cross at one point... look below

dsp733 years ago
6 0

ANSWER

B. 1

EXPLANATION

The given system of equations is;

–2x + 4y = –7

y= -1/2x + 5

We rewrite the first equation is slope intercept form:

4y = 2x–7

y =  \frac{1}{2}x  -  \frac{7}{4}

The two equations have different slopes.

This means that they will intersect at one point in the XY plane.

Hence the system has a unique solution.

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Find the values of the variables
ki77a [65]

The values of the variables are k = -6 , w = ± 9 , f = -7

Step-by-step explanation:

To solve these problems we will compare the elements inside the [  ]

[-12 , -w²] = [2k , -81]

[2f , 3] =  [-14 , 3]

That mean:

1. -12 = 2k

2. -w² = -81

3. 2f = -14

∵ 2k = -12

Divide both sides by 2 to find k

∴ k = -6

∵ -w² = -81

Divide both sides by -1

∴ w² = 81

Take √ for both sides

∴ w = ± 9

∵ 2f = -14

Divide bith sides by 2

∴ f = -7

The values of the variables are k = -6 , w = ± 9 , f = -7

Learn more:

You can learn more about simple equation in brainly.com/question/13113987

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8 0
3 years ago
If marco walks 5 dogs for 12 minutes each, how much money will he earn?
Ket [755]
Since Marco makes 10$ an hour for every dog he walks, we need to see how much money he would make per minute.

To find out how much money he makes per minute, we divide 10.00 by 60.

10.00÷60= 0.16666

Since it's an extended decimal we round it, so he makes about $0.17 per minute.

Next, we multiply 0.17 by 12, so we know how much money he makes every twelve minutes. 

0.17×12=2.04

He makes around $2.04 every twelve minutes.

Since he's walking 5 dogs, we multiply 2.04 by five.

2.04×5=10.20

That means <em>he earns $10.20</em>.

I hope you have a wonderful day! :D
7 0
3 years ago
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nadezda [96]

Answer:

2.5

Step-by-step explanation:

Basically, you take your total of $9.25 and subtract $1.75. That gives you $7.5 so then you divide by 3 which gives you your answer: $2.5

4 0
3 years ago
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Sidana [21]

The match that can be made of these definitions are as follows

a. Space is the set of all points, lines, and planes. This definition is not understandable.

b. A radius is a chord containing the center of the circle. This definition is not accurate.

c. An angle is the union of two distinct rays, this definition is not concise.

<h3>What is space?</h3>

This is the term that is used to mean a continuous area or an expanse that is not occupied. The space is the free available area. When it is defined in this way, it would make the understanding of the word to be more possible and easier for the learner.

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This is used to refer to a straight line that is drawn from the center of a circle in such a way that it would have to touch the circumference of that particular circle.

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brainly.com/question/24375372

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Answer:

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Step-by-step explanation:

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