Answer:
10000
Step-by-step explanation:
Hi!
To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.
Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!
M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>
If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.
B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.
Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>
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Hope this helps! :D
4.5/9. It is technically an improper fraction but it still counts.
Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length 
Length 
Length
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units
#8).
The volume of a cone is (1/3) (pi) (radius of the round end)² (height)
That's the volume of the ice cream cone alone.
The volume of a sphere is (4/3) (pi) (radius)³
The glob of ice cream on top is 1/2 of a sphere.
The sphere and the cone in this problem both have the same radius.
#9).
The volume of a cylinder is (pi) (radius of the round end)² (height)
#10).
Another cylinder !
The volume of a cylinder is (pi) (radius of the round end)² (height)