Similar figures are figures of the same shape but different (or same) size.
Thus, they look the same, but one is bigger than the other by a scale factor.
Congruent figures are figures of the same shape AND same size.
They can be mapped onto each other using any type of transformation (besides dilations).
Similar figures can be dilated.
Answer: false
Step-by-step explanation:
If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,
Using product rule;
(fg)' = fd(g) + gd(f)
(fg)' = f * g' + f' * g
and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;
f = x, g = 5x on I = (-5, -2)
f' = 1 and g' =5 both greater than 0
f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.
Answer:
y = 200x + 7000
Step-by-step explanation:
950x-750x=200x
27,000-20,000=7000
hope this helps
Answer:
Step-by-step explanation:
