Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
Okay, so here, we know that -10 is the slope, therefore, it is also the constant of proportionality.
'x' is the unknown value, that tells us to multiply by -10.
So, on a graph, we would consider that per unit, it would decrease by -10, since its a negative slope.
Hope I helped, if you have further questions or concerns, feel free to PM me. Thanks! :D
Answer:
1728
Step-by-step explanation:
12*12*12
so translation means that the points are moving on the graph
so the shape is moving down three then left two
it doesn’t change the shape in any way it just moves the shape
so all the sides and angles are the same
so the polygon is completely congruent with the premise and image since the shape didn’t change
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
