Lowest Common Denominator refers to lowes t common multiple. These expressions have two terms 'x' and 'y' and we want to choose the expression that has the highest power such that the other expressions can be multiplied into the common denominator.
For the 'x' term, the highest power is x⁴ and for the 'y' term, the highest power is y⁵
Common denominator of A, B, C, and D: x⁴y⁵
9514 1404 393
Answer:
√629 ≈ 25.08
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08
The distance between the points is about 25.08 units.
We have the function 
and we want to find a function that has the same y-intercept than the previous function.
First, let's find the y-intercept by subtituting 0 for 'x'.
Now that we found that y-intercept =-3, any lineal function of the type: 
will have the same y-intercept. Where 'a' can take all the real values.
Also, any quadratic function of the type: 
will have the same y-intercept. Where 'a' and 'b' can take all the real values.
Answer: 2730 tiles (Approx)
Step-by-step explanation:
Since, The side length of each side = 25
According to the question the shape of the tile is square.
Thus, the area of one tile = 25 × 25 = 625 
Also, we need to tile a kitchen measuring 102 ft. by 18 ft
Thus, the area of the room in which we have to tile = 102 × 18 = 1836 
= 1836×30.48 × 30.48 = 1705699.8144
Thus, the total number of the tiles = the area of the room in which we have to tile / the area of one tile = 
Since, we must take 2730 tiles to tile the kitchen.
csc(2x) = csc(x)/(2cos(x))
1/(sin(2x)) = csc(x)/(2cos(x))
1/(2*sin(x)*cos(x)) = csc(x)/(2cos(x))
(1/sin(x))*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)*1/(2*cos(x)) = csc(x)/(2cos(x))
csc(x)/(2*cos(x)) = csc(x)/(2cos(x))
The identity is confirmed. Notice how I only altered the left hand side (LHS) keeping the right hand side (RHS) the same each time.
