Answer:
See attached graph.
Step-by-step explanation:
We can graph this with relative ease on the calculator or computer (see attachment) but let's make sure we understand it theoretically and algebraically!
y=|x - 4| + 2
First of all, this is an absolute value function, so it'll look like a v where every input equals its positive output (2, 2) (-3,3) etc. You can't get a negative number with a graph of y=|x| unless you translate it.
Next, there's a -4 inside the abs val. According to the formula y = |x - h| + k, where h is the horizontal shift, this means we need to shift the vertex right 4.
There's a +2 outside the abs val. K is the vertical shift, so we need to shift the vertex up 2.
Since the base is 3 inches and the height is 4 inches, as well as the area of a triangle being base*height/2, we get 3*4/2=6 in. for each triangle. Since we need 20 pieces for each puzzle, we multiply 6 by 20 to get 120. In addition, since 80 puzzles are needed, with 20 pieces for each puzzle, we have 120 inches for each puzzle and 120*80 = 9600 square inches of wood used
Answer: It would take 7 hours.
Step-by-step explanation:
715/11 = 65
65 miles per hour
455/65 = 7
In the equation for surface area the radius is squared ( r^2)
If the radius is doubled, the radius would be 2^2 more which equals 4
The surface area would be 4 times the old surface area.