First find the slope between any two points:
Where
are the two points
So calculating the slope:
So the slope is
And our equation will be in the format of
where
and
So, now we have half of the equation:
Now to calculate b, we can plug in a point
and solve for b.
So
Lets use the point
So:
And then:
So our final equation is
Hey there!
On this problem, we have to combine like terms. A like term in this sense doesn't have to have the same coefficient, but it has to have the same variable.
Our like terms are 2m and 4m, along with 3 and 5.
When we add 2m and 4m we get 6m, and when we add 5 and 3 we get eight.
Notice how 5 and three are like terms because they're both whole numbers and don't have any variables.
Your solution is 6m + 8.
My advice to you is pay attention to your like terms and don't mix them up. A strategy is to underline like terms in the same color.
Hope this helps!
1. It
takes 8 x 4 x 15 cubes, or 480 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 480/64 = 7 ½ cubic inches or 2 x
1 x 3 ¾ = 7 ½ cubic inches.
2. It
takes 3 x 1 x 8 cubes, or 24 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 24/8 = 3 cubic inches or 1 ½ x ½
x 4 = 3 cubic inches.
3. It
takes 9 x 3 x 4 cubes, or 108 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 108/8 = 13 ½ cubic inches or 4 ½
x 1 1/2 x 2 = 13 1/2 cubic inches.
4. It
takes 3 x 2 x 8 cubes, or 48 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 48/64 = ¾ cubic inches or ¾ x ½
x 2 = ¾ cubic inches.
5. It
takes 5 x 7 x 8 cubes, or 280 cubes with side lengths of ½ inch. The
volume of the right rectnagular prism is 280/8 = 35 cubic inches or 2 ½ x
3 ½ x 4 = 35 cubic inches.
You would have to bring it closer to the stage. At that point initially in the diagram, the angle is 25°. As you can see, the angle is small. But when you bring it closer to the stage, the opening would also increase. Otherwise, if you move it farther away, the opening becomes even smaller.
