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4 years ago

How many possible numbers of solutions are there to the system of equations?

Mathematics

1 answer:

storchak [24]4 years ago

3 0

Explanation:

Assuming a system of linear equations:

If the equations have the same slope, there are no possible solutions. Lines with the same slope run parallel and never intersect. Without an intersection, there is no solution. The solution is the point of intersection of graphs.

If the equations are equivalent, there are an infinite number of solutions. Equations can be equivalent in many ways. If one equation is rearranged to isolate one of its variables, the new equations looks different but it is equivalent. (Most commonly, two equivalent equations are in different forms, like standard, slope-intercept or point-intercept). If an equation has all of its terms multiplied or divided by the same number, the new equation is equivalent.

In any other case, there is only one solution.

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Find the area of a regular hexagon with an apothem 17.3 miles long and a side 20 miles long

Zinaida [17]

The area of a hexagon is $\frac{3 \sqrt{3} }{2} a^{2}$ where a = one side

$\frac{3 \sqrt{3} }{2} 20^{2}$

$\frac{3*200 \sqrt{3} }{2}$

$\frac{600 \sqrt{3} }{2}$

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3 years ago

Multiples between 61 and 107 that is a multiple of 4,10 and 20

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80 might be the answer you are looking for

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4 years ago

What is the equation of the following graph in vertex form?

zhuklara [117]

Correct answer is D.

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3 years ago

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The author of Passage 1 indicates that becoming

Tasya [4]

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<h3>What according to the author, becoming adept at using the Internet can cause?</h3>

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The author of Passage 1 concludes that people's ability to think "deeply" is hampered by their use of screen-based technologies.

Option A, C, and D are incorrect because the author of Passage 1 does not address how people's health, social contacts, or self-confidence are affected by using the Internet.

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1 year ago

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each o

ser-zykov [4K]

9514 1404 393

Answer:

ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

MN/FG = 56/24 = 7/3

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3 years ago

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