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2 years ago

(4 6) and (5 0) calculated distance and can I also have the working ? Thx

Mathematics

2 answers:

nataly862011 [7]2 years ago

3 0

Answer:√37

Step-by-step explanation:

Decimal Form: 6.08276253...

almond37 [142]2 years ago

3 0

Answer:

6.0828

Step-by-step explanation:

$\sqrt{(5-4^{2}) + (0-6^{2}) }$

$\sqrt{1^{2} +(-6^{2} )}$

$\sqrt{1+36}$

$\sqrt{37$ = 6.0828

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The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). What best describes the quadrilateral?

denis-greek [22]

Answer:

Square

Step-by-step explanation:

Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.

1. Find all sides lengths:

$PQ=\sqrt{(-3-0)^2+(0-4)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\QR=\sqrt{(0-4)^2+(4-1)^2}=\sqrt{(-4)^2+(3)^2}=\sqrt{16+9}=\sqrt{25}=5\\ \\RS=\sqrt{(4-1)^2+(1-(-3))^2}=\sqrt{(3)^2+(4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\SP=\sqrt{(1-(-3))^2+(-3-0)^2}=\sqrt{(4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5$

All sides have the same lengths.

2. Find the slopes of all lines:

$PQ:\ \dfrac{4-0}{0-(-3)}=\dfrac{4}{3}\\ \\QR:\ \dfrac{1-4}{4-0}=-\dfrac{3}{4}\\ \\RS:\ \dfrac{-3-1}{1-4}=\dfrac{4}{3}\\ \\SP:\ \dfrac{0-(-3)}{-3-1}=-\dfrac{3}{4}$

Since the slopes of PQ and RS are the same, lines PQ and RS are parallel. Since the slopes of QR and SP are the same, lines QR and SP are parallel.

The slopes $\frac{4}{3}$ and $-\frac{3}{4}$ have the product of

$-\dfrac{3}{4}\cdot \dfrac{4}{3}=-1,$

then lines are pairwise perpendicular.

This means PQRS is a square.

4 0

3 years ago

PLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM

vodomira [7]

Answer:

a=7.14yd

Step-by-step explanation:

process same as in above question

3 0

2 years ago

The length of a rectangular room is 6 feet longer than twice the width. If the room perimeter is 168 feet, what are the room's d

liberstina [14]

Length = 2 breadth +6
perimeter= 4(length+ breadth)
168=4(2breadth +6+breadth
42={3breadth+6)
14=breadth +2
breadth =12
length=30
hope u like the answer if yes mark !e brainlist

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