n points would divide a given line into n+1 segments.
Just assume that you have a line and you added a point to that line, this point would divide your line into two segments.
If you add two points to a line, these two points would divide your line into three segments.
So the number of segments is always greater that the number of points by 1.
7=x^2+20x+82
0=x^2+20x+75
What adds to 20 and multiplies to 75? 5 and 15.
x^2+5x+15x+75
x(x+5) 15(x+5)
(x+15) (x+5)
Zeroes are x= -5 and x= -15
Answer:
attached
Step-by-step explanation:
y=|4-3x| y: positive number
To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.
We get the volume of the cuboid by multiplying the base by the width by the length:
Volume of cuboid = 6 x 6 x 4
= 144m³
Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.
Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
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Answer:
Now that we know the two volumes, we simply add them together:
144 + 96 = 240m³
So the volume of the composite sold is 240m³
So perimeter is equal to 2 lengths and 2 width so the equation would be P=2L+2W. you know width so you plug in 5 for W then solve for L and you should get L=3
