A= 1/2bh if b=3 in. And h= 8 in., what is the area of the triangle?
1 answer:
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The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,
So, by moving the term -3x^3+20 to the left hand side, we have
Then, in order to solve this equation, we can apply the quadratic formula
In our case, a=5, b=-3 and c=-30. So we get
which gives
By substituting these points into one of the functions, we have
and
Then, by rounding these numbers to the nearest tenth, we have the following points:
Therefore, the answer is the last option
Answer:
9 m
Step-by-step explanation:
Suppose AB is the ladder. AC is the height of the window above the ground and BC is the distance of the foot of ladder from the wall.
The triangle ABC is right angled at C.
∴ AB² = AC² + BC²
=> 15² = 12² + x²
=> 225 - 144= x²
=> 81 = x²
=> 9 = x
- Hence, distance of the foot of the ladder from the wall is 9 m.
