You have to make the mixed number into a fraction in order to divide
Answer:
0.75 or 3/4
Step-by-step explanation:
1/4 of 3 would still end up to be 3/4 or as a decimal it would be .75
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,

The integral with respect to <em>x</em> is trivial:

For the remaining integral, integrate term-by-term to get

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.
Answer:
Step-by-step explanation:
if the lines are parallel they have the same gradient.
rearrange the equation to make y the subject and then use the m value as gradient.
-3x=2-y
-3x-2=-y
y=-(-3x-2)
y=3x+2
therefore m=3
slope is 3
Answer:
-1.8
Step-by-step explanation: