8. A warehouse 25 feet tall casts a shadow that is 15 feet long. At the same time of day, how
1 answer:
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The two pieces are continuous for every
So, our only concern is to make sure that the pieces "glue" continuously at x=7.
To ensure this, we evaluate both pieces at x=7, and impose that the two values are equal.
The first piece evaluates to
The second piece evaluates to
So, we want
We move all terms involving c to the left hand side, and all the numerical constants on the right hand side:
Given:
A right triangle on a coordinate plane.
To find:
The area of a triangle.
Solution:
We know that, the area of a triangle is
From the given figure it is clear that the base of the triangle is 4 units and the height is 3 units. So, the area of the given triangle is
The area of the given triangle is 6 units². Therefore, the correct option is B.