The sum of two supplementary angles is 180 degrees.
A+B=180.
80+B=180
B= 180-80
B=100
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:
Leena consumed 1,500 calories at dinner
Step-by-step explanation:
The reason the answer is Leena consumed 1,500 calories at dinner is because she consumes 2/3 of her daily calories at dinner.
Answer:
1. B
2.D
Step-by-step explanation:
x = $80 profit made if sold all carrots.
y = $120 if all tomatoes are sold.
Answer:
a = 
Step-by-step explanation:
Given
ak = v + w ( isolate a by dividing both sides by k )
a = 