Answer:
parallel: -1/2
perpendicular: 2
Step-by-step explanation:
lines that are parallel have the same slope because they never intersect
lines that perpendicular, have the opposite reciprocal slope.
y = mx + b
where m is the slope
y = -1/2x + 6
-1/2 is the slope.
the slope in the equation given: -1/2
the slope parallel to the line given : -1/2
the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.
X^2-2x -3 =0
a =1 b =-2 and c = -3
x = - (-2) +/- sqrt (-2)^2 - 4(1)(-3)
--------------------------------------
2(1)
x = + 2 +/- sqrt [(4) - 4(-3)]
-------------------------------
2
x = +2 +/- sqrt [4 + 12]
--------------------------
2
x = +2 +/- sqrt[16]
-------------------
2
x = +2 +/- (4)
-------------
2
x = 2 + 4 or 2 -4
------- ------
2 2
x = 6/2 or -2/2
x = 3 or x = -1
Heather runs 7 miles in 80 minutes.
At the same rate, how many miles would she run in 64 minutes?
Let x represent miles would she run in 64 minutes?
Question Sets Up the Proportion
7/80= x/63 |Cross Multiplying to solve for x
x = 7*64/80
x = 5.6mi
Hope this helps!
Use the following formula valid fo every polyhedron.
v-e+f=2
<span>
Search for Euler characteristic, or Euler-Poicare characteristic for more depth about this formula </span>
v= number of vertices
e=number of edges
f=number of faces
<span>You get v=13
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