Mathematics, 27.07.2019 20:00 paatnguyyen

Quadrilateral jklm has vertex coordinates j(2,4), k(6,1), l(2,-2), and m(-2,1). what type of quadrilateral is jklm?

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Answer from: bajus4121

Find lengths of quadrilateral sides:

$|JK|=\sqrt{(6-2)^2+(1-4)^2} =\sqrt{16+9}=5$ ,

$|KL|=\sqrt{(2-6)^2+(-2-1)^2} =\sqrt{16+9}=5$ ,

$|LM|=\sqrt{(2-(-2))^2+(-2-1)^2} =\sqrt{16+9}=5$ ,

$|MJ|=\sqrt{(-2-2)^2+(1-4)^2} =\sqrt{16+9}=5$ .

Since all sides have the same lengths, you can state that this quadrilateral is rhombus.

Let's check whether quadrilateral JKLM is a square. To check this let find the lengths of diagonals:

$|JL|=\sqrt{(2-2)^2+(-2-4)^2} =\sqrt{0+36}=6$ , $|MK|=\sqrt{(-2-6)^2+(1-1)^2} =\sqrt{64+0}=8$ .

The lengths are different, so quadrilateral is not a square.

quadrilateral JKLM is a rhombus.

Answer from: Quest

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

Answer from: Quest

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions