12q +3r =15
3(4q +r) = 3*5
Divide both sides by 3
4q +r = 5
Time for the second one:
-4q -4r = -44
-4(q +r) = (-4)*11
Divide both sides by -4
q +r = 11
4q +r = 5
q +r = 11
Subtract the second from first equation
3q 0 = -6
3q = -6
q = -6/3 = -2
q = -2
q +r = 11
-2 +r =11
r = 11 +2
r = 13
q = -2
r = 13
Your answer is...
(-2,13)
The scatter plot describes a linear relationship.
The orientation of the figure has been changed by 90°, but the points are not all rotated around the same center. Translation is involved.
Translation before rotation:
.. translate down 5 units
.. rotate counterclockwise 90° about the origin
Translation after rotation:
.. rotate counterclockwise 90° about the origin
.. translate right 5 units
This can also be accomplished by a double reflection.
.. reflect across the line y=x
.. reflect across the line x=2.5
Or,
.. reflect across the line y=2.5
.. reflect across the line y=x
Answer:
see explanation
Step-by-step explanation:
given that V is directly proportional to u and inversely proportional to f , then the equation relating them is
V = 
← k is the constant of proportion
(a)
to find k use the condition when u = 1 and f = 3 , V = 
, then
= 
( cross- multiply )
6k = 3 ( divide both sides by 6 )
k = 
= 
V = 
← equation of proportion
(b)
when f = 4 and V = 1 
= 
, then
= 
= 
( cross- multiply )
4u = 40 ( divide both sides by 4 )
u = 10
Answer:
THE FIRST OPTION
Step-by-step explanation:
