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Ivenika [448]
3 years ago
12

Find the distance between (1, 4) and (3, 9). Round the answer to the nearest hundredth.

Mathematics
1 answer:
Romashka [77]3 years ago
6 0
To calculate the distance between these two points, we use the Pythagorean theorem since the two points can form a right triangle when plotted where the hypotenuse would be the distance between these two. We do as follows:

d = √[(x2-x1)^2 + (y2-y1)^2]
d = √[(3-1)^2 + (9-4)^2]
d = √29 = 5.39 units 

The correct answer is A.
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Svet_ta [14]

Answer:

\huge\boxed{x=7\dfrac{23}{25}}

Step-by-step explanation:

x\div3\dfrac{3}{10}=2\dfrac{2}{5}\\\\\text{convert the mixed number to the impropper fraction}\\\\3\dfrac{3}{10}=\dfrac{3\cdot10+3}{10}=\dfrac{33}{10}\\\\2\dfrac{2}{5}=\dfrac{2\cdot5+2}{5}=\dfrac{12}{5}\\\\x\div\dfrac{33}{10}=\dfrac{12}{5}\\\\x\times\dfrac{10}{33}=\dfrac{12}{5}\qquad\text{multiply both sides by}\ \dfrac{33}{10}\\\\x\times\dfrac{10\!\!\!\!\!\diagup}{33\!\!\!\!\!\diagup}\times\dfrac{33\!\!\!\!\!\diagup}{10\!\!\!\!\!\diagup}=\dfrac{12}{5}\times\dfrac{33}{10}\\\\x=\dfrac{396}{50}

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Answer:

(2.8, 0.8)

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Step-by-step explanation:

1. Home (Xa, Ya)= (8, 6)

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Xa-Xb=8-(-5)=13

Ya-Yb=6-(-7)=13

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Xc= Xa-(Xa-Xb)2/5=8-5.2=2.8

Yc=Ya-(Ya-Yb)2/5=6-5.2=0.8

=> Emily starts at (2.8, 0.8)

2.

Emily ends at 3/5 of the road, , make it  (Xd, Yd)

Xd= Xa-(Xa-Xb)3/5=8-7.8=0.8

Yd=Ya-(Ya-Yb)3/5=6-7.8=-1.8

=> Emily ends at (0.8, -1.8)

6 0
3 years ago
Work out the size of the angle marked x​
natali 33 [55]

Answer:

X=60

Step-by-step explanation:

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3 years ago
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