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Maru [420]
3 years ago
6

The slope of two lines are 5/6 and 2/p. determine the value of p that will make the lines

Mathematics
2 answers:
Anni [7]3 years ago
7 0
Parallel:  the lines have = slopes.  We thus need 5/6 to equal 2/p.  then 5p must equal 12, and p = 12/5.   (answer)

Check:  Is 5/6 = 2 / (12/5)?  YES

Perp.:  The lines have slopes that are negative reciprocals of one another.

Then -6/5 = 2/p,  or

 -6      2
---- = ----
  5      p             Thus, -6p = 10, and p = -5/3   (answer)
Romashka-Z-Leto [24]3 years ago
4 0
A) In order to be parallel, the slopes must be the same. To find p, set the slopes equal to each other:

5/6 = 2/p

Cross multiply:

12 = 5p

p = 12/5

B) In order to be perpendicular, the slopes must be opposite reciprocals. So if one line's slope is 5/6, the other line's slope must be -6/5:

-6/5 = 2/p

10 = -6p

p = 10/-6

Reduced, the answer is p = -5/3.





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Step-by-step explanation:

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3 years ago
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7 0
3 years ago
A weather plane took to the skies to measure the speed of the jet stream. The plane flew 1920 km with the jet stream as a tail w
Alex
For this case, the first thing we must do is define variables:
 p: plane speed
 w: wind speed
 With the wind in favor, the speed is:
 p + w = 1920/2

 With the wind against the speed is:
 p - w = 1920 / 3.2

 Rewriting both equations, we have the following system of equations:
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7 0
3 years ago
The diagonal of a cube is 28 cm. Identify the length of an edge.
asambeis [7]
So the diagonal of cube
this was a practice act question so her's the answer

look at the cube through one of the faces
you will see the diagonal as the hypotonuse of  a triangle
and also a triangle on the floor (look at attachment)
the ,diagonal is 28
a^2+b^2=28^2
a=b since it is a cube
remember that this is a 45,45 triangle so therefor
a=b=x
c=x√2 so
28=x√2
divide both sides by √2
28/(√2)=x
the diagonal on the floor is 28/(√2)
the sides of the triangle form another 45 45 90 triangle with 28/(√2) as hyponuse so
a=b=x
c=x√2=28/(√2)
solve for x
x√2=28/(√2)
divide both sides by √2
same as mujlitply both sides by 1/(√2) so
28/(√2) times 1/(√2)=28/(2)=14
the answer of 1 diagonal is 14 cm
the answer is 14cm

4 0
3 years ago
Evaluate the expression for n =8 <br> 3+7 x n
bonufazy [111]

Answer:n=-83/60 or -1.383

Step-by-step explanation:

4 0
3 years ago
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