4 & 9 LCM - 36
8 & 10 LCM - 40
12 & 5 LCM - 60
3 & 6 LCM - 6
3 & 5 LCM - 15
4 & 11 LCM - 44
Answer:
x = -2 and y = 2
Step-by-step explanation:
We have the following system of linear equations;
y=x+4
y=-2x-2
To solve the above system, we shall be equating the right hand sides of the two equations since we have y's on the left hand side of both equations;
x + 4 = -2x - 2
add 2x on both sides of the equation;
x + 4 + 2x = -2x - 2 + 2x
3x + 4 = -2
subtract 4 on both sides of the equation;
3x + 4 - 4 = -2 - 4
3x = -6
x = -2
We can use the first equation y=x+4 to determine the value of y;
y = -2 + 4
y = 2
The solution to the system of linear equations is thus;
x = -2 and y = 2
Answer:
638.32 yd²
Step-by-step explanation:
The surface area of any figure can be found by calculating the area of all the sides and finding the sum. In a rectangular pyramid, there is a rectangular base (l x w) and the same two triangles on one side and another two identical triangles on the other side.
Area of rectangle: A = l x w
Area of a triangle: A = 1/2(b)(h)
Rectangle: 16 x 13.4 = 214.4 yd²
Bottom/top triangles: 14.1 x 16 = 225.6 yd²
Side triangles: 14.8 x 13.4 = 198.32 yd²
Total: 198.32 + 225.6 + 214.4 = 638.32 yd²
318*2-47=589 There are 589 nonfiction books in the library
