Answer:
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Step-by-step explanation:
Area of a triangle:
The area of a triangle of base b and height h is given by:
In this question:
We have to derivate the equation of the area implicitly in function of time. So
The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.
This means that:
At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?
This is when
Area is 24, so the base is:
Then
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Answer:
y = x - 5
Step-by-step explanation:
Equation of any two parallel lines differ only by a constant.
Therefore, the equation of the line parallel to would be ax + by + c₂ = 0.
The equation of the line parallel to should be equal to
x - y + c = 0.
Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.
⇒ 3 -(-2) + c = -5 + c = 0
⇒ c = - 5.
Substituting we get: x - y - 5 = 0
⇒ y = x - 5 is the required equation of the line.
Here is the answer I hope it helps
Answer:
-4
Step-by-step explanation:
<span>The answer is B. Frame. If the ball is rolling in a straight line and you push it to the right, it's velocity will really be frame to the right. This is because you are putting an external force to the ball to change its direction going to the right, that;s why it will definitely land on the right.</span>