12.5 gallons..............
Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...

The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
The actual height of the heart is 3.5 inches
14 * .25 = 3.5 inches
I hope this helps :)
Answer:
The slope is -2
Step-by-step explanation:
Since the roof is decreasing in height as it goes forward, I know that the slope must be negative. The equation to find the slope is rise/run. The vertical change, or the rise, is -6 feet, so that value goes on top of the fraction. The horizontal value, or the run, is 3 feet so that goes on the bottom of the fraction.
Now our fraction is 
If you simplify that fraction, you'll get -2.
Answer:
The y-intercept is (0, 4)
- Since the y-intercept marks the point where x =0, all that you have to do is substitute 0 in for x in the parabola's equation.
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