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aleksandr82 [10.1K]
3 years ago
12

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
<span>First of all to calculate the distance between two points we can use distance formula
   
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
   
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
   
The values are X2=3, X1=8and Y2=8and Y1=2.
   
After Substituting the values
   
d=Square Root[(-5)^2+(6)^2]
   
d=Square Root(25+36]
   
d=Square Root[61]
   
d=7.8
   
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
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Factor the polynomial <br>64x^3-125
kobusy [5.1K]
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= (4x)^{3} - 5^{3} ------> because, (4x)^{3} is same as 64x³ and 
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3 years ago
Zack has two strings of equal length. One string is red the other is yellow. After cutting 2.5 meters of the red string and 3.8
ddd [48]

Answer:

6.4 m

Step-by-step explanation:

We have 2 expressions here.  The first one is the fact that r = y.  That's one of 2 equations.  The second one involves whats' left after cutting off certain lengths of each color string.  We cut 2.5 m from red, we cut 3.8 m from yellow.  We know that what's left of red is 1.5 times the length of what's left of yellow.  What's left of red is r - 2.5; what's left of yellow is y - 3.8.  We know that r = 1.5y, so filling that in with our corresponding expressions gives us

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Distribute to get

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y - 2.5 = 1.5y - 3.2

Combine like terms:

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y = 6.4

Check it to make sure it works.  What's left of red should be 1.5 times the length of what's left of yellow and y = 6.4:

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What's left of yellow: 6.4 - 3.8 = 2.6

1.5 x 2.6 = 3.9, just like it should!

4 0
3 years ago
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