Answer:
Step-by-step explanation:
Divide: 12 : 13 = 12 · 31 = 1 · 32 · 1 = 32. Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.
Just add a similar triangle from the opposite side
Then what happens
- Hypotenuse of this triangle becomes common and diagonal of the rectangle.
Now
Area
- Area of triangle=20/2=10units^2
The diagonal of a cube is the square root of 3x^2, where x is a side length....The three dimensional diagonal is the counterpart to the two dimensional hypotenuse found in a right triangle...mathematically a three dimension diagonal can be found with an extension of the Pythagorean Theorem adapted to three dimensions...
d^2=x^2+y^2+z^2 but since we are dealing with a cube, x=y=z=s where s is a side lenght...
d^2=3s^2 and we are told that the diagonal is 30 in. so
3s^2=30^2
3s^2=900
s^2=300
s=√300
s=10√3 in. exact
s≈17.3 in. (to the nearest tenth of an inch)
Answer: f^-1(x) = 2x/x-1
Explanation:
Setting y=f(x)
y=x/x-2
This may be rearranged as follows
y(x-2) = x
x•y-2y = x
x•y-x = 2y
x=2y/y-1
The expression shows x in terms of y.
That is it! The inverse function of f(x).
<em><u>No Solution</u></em>
5x − 3 = 5x + 2
- Subtract 5x from both sides
5x − 3 − 5x = 5x + 2 − 5x
−3 = 2
−3 + 3 = 2 + 3
0 = 5
<u><em>This is false, therefore there is no solution</em></u>
