If the perimeter is 98 cm, the sum of the lengths of two adjacent sides is 49 cm.
... (2x -1) + (3x +5) = 49 . . . . use the given information and relation
... 5x +4 = 49 . . . . . . . . . . . simplify
... 5x = 45 . . . . . . . . . . . . . . . subtract 4
... x = 9 . . . . . . . . . . . . . . . . . divide by 5
The left side dimension is then
... 2x -1 = 2·9 -1 = 17 . . . . cm
The top dimension is
... 3x +5 = 3·9 +5 = 32 . . . . cm
The rectangle is 17 cm by 32 cm.
Answer:
-4,-4
Step-by-step explanation:
let the numbers be x and y.
x+y=-8
y=-x-8
xy=16
x(-x-8)=16
-x²-8x=16
x²+8x+16=0
x²+4x+4x+16=0
x(x+4)+4(x+4)=0
(x+4)(x+4)=0
x=-4,-4
If a:b=c:d then a/b=c/d and ad=bc
so
if 16:14=64:60 then 16/14=64/60 and (16)(60)=(14)(64)
(16)(60)=960
(14)(64)=896
960≠896
not equivilent
the easiest way is to simplify them
16/14=8/7
64/60=32/30=16/15
not equal
not equivilent
Answer:
Step-by-step explanation:
Note that this function resembles the absolute value function y = |x|.
The graph of y = |x| has its vertex at (0, 0) and opens up in a v-shape.
The graph of y = |x - 2| looks the same as that of y = |x|, but the entire graph has been translated 2 units to the right.
The graph of y = |x - 2| + 4 is that of y = |x - 2|, translated 4 units up.
It should be positive correlation, because as the the amount of students goes up the amount of teachers should too.
