Answer:
4.5 gallons
Step-by-step explanation:
If <span>y = –4x – 7, the x-intercept is found by setting y=0 and solving for x:
</span><span>0 = –4x – 7 => 4x = -7, or x = -7/4 The x-intercept is (-7/4, 0).
</span><span>The y-intercept is found by setting x = 0 and reading off the value of y:
y = –4x – 7 => y = 0 - 7, or y = -7. The y-intercept is (0, -7).</span>
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
Answer:
the answer for |x+5|=3=x=-2and x=-8
and for the other one is x=8 and x=2
is the boundary of the triangle 
, then by Green's theorem
