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goldfiish [28.3K]
3 years ago
8

The two lines graphed below are not parallel. How many solutions are there to the system of equations? 

Mathematics
2 answers:
alexdok [17]3 years ago
8 0
Check picture below

what's the x,y ordered pair for that point?

AVprozaik [17]3 years ago
6 0
<h2>Answer:</h2>
  • The system of equation has a unique solution or one solution.

Option: A is the correct answer.

              A.  (-2,1)

<h2>Step-by-step explanation:</h2>

The solutions of the system of the equation are the possible points of the intersection of the two lines.

By looking at the graph of the functions the two lines are not parallel and the graph intersect at just one point.

Hence, the system of equations has just one solution or unique solution.

The system of equations is:

y=\dfrac{1}{2}x+2

and

y=-2x-3

The x-value of the point of intersection of two lines is calculated by equating both the lines i.e.

\dfrac{1}{2}x+2=-2x-3\\\\i.e.\\\\\dfrac{1}{2}x+2x=-3-2\\\\i.e.\\\\\dfrac{5}{2}x=-5\\\\i.e.\\\\x=-2

and when x= -2 then the value of y from first equation is:

y=\dfrac{1}{2}\times (-2)+2\\\\i.e.\\\\y=-1+2\\\\i.e.\\\\y=1

Hence, the solution is:

                       (-2,1)

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seraphim [82]
These are not hard....u just have to pay very close attention to the wording. Keep in mind ratios can be written as fractions too.

ratio of tomatoes to onions = 21:6 which reduces to 7:2...because there is 21 tomatoes and 6 onions. (21/6 reduces to 7/2...ratios written as fractions)

However, if it would have asked the ratio of onions to tomatoes, it would have been 6:21....which reduces to 2:7....so pay attention to the wording on problems such as these

so ur answer is 7:2

6 0
3 years ago
What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
Tanya [424]

The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.

<h3>What is a Rhombus ?</h3>

A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.

Let x be the half of the other diagonal.

tan 60 = x / 9

x = 9 tan 60

x = 9√3

Area of the Rhombus = (d1 * d2 /2 )

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Area of the Rhombus =162√3 sq.unit

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6 0
2 years ago
T÷5/12= -3/10<br> Thank you if you help :)
skelet666 [1.2K]

Answer:

t = -1/8.

Step-by-step explanation:

t / 5/12 = -3/10          Invert the 5/12 and multiply:

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2 years ago
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Neporo4naja [7]
F = t ⇨ df = dt 
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⇔ 
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As integral of tan u = - ln (cos (u)), you get : 

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Zinaida [17]

Answer:

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y= P(1+r)^x

y= 250000(1.022)^x

3 0
3 years ago
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