Answer:
<h3>324 ft²</h3>
Step-by-step explanation:
We have the triangle and the rectangle.
The formula of an area of a triangle:
b - base
h - height
The formula of an area of a rectangle:
l - length
w - width
We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.
Substitute:
The area of the figure:
Substitute:
You have to write the problem you need help with.
Answer:
Directly proportional: as one amount increases, another amount increases at the same rate.
Inversely Proportional: when one value decreases at the same rate that the other increases.
Step-by-step explanation:
To find the gradient of the tangent, we must first differentiate the function.
The gradient at x = 0 is given by evaluating f'(0).
The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.
The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so
Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).
So the point (0, -1) lies on the tangent. Substituting into the tangent equation:
