Answer:
3√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length.
x = 3√2
_____
All these triangles are similar, so the ratio of hypotenuse to leg is the same for all.
hypotenuse/leg = x/3 = (3+3)/x
x² = 3·6 = 3²·2 . . . . cross multiply (identify square factors)
x = 3√2 . . . . . take the square root
Answer:
is the resulting expression after grouping
Step-by-step explanation:
Given:

Now taking common
from 1st 2 numbers and and 3 common from last we get

Now taking x-3 common from both numbers we get
which is the final equation after grouping
The slope is -3/1 so to find other points, go to (2,-1) and go down 3, over 1.
0.65 x 40 = 26
So the answer is 26 pounds.
The option C) y = 15/x
a) y = 15 x is an example of direct variation, with proportionality constant = 15
b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)
c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation
d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15