Volume of a Pentagonal Pyramid 5/6 <span>abh
Given,
a = 3 m
b = 5 m
h = 8 m
Volume of a pentagonal pyramid
<span>= </span><span><span>5/6 </span></span><span> 3 m </span><span>×</span><span> 5 m </span><span>×</span><span> 8 m</span>
= 100 m</span>³<span>
</span>
4. Compute the derivative.

Find when the gradient is 7.

Evaluate
at this point.

The point we want is then (2, 5).
5. The curve crosses the
-axis when
. We have

Compute the derivative.

At the point we want, the gradient is

6. The curve crosses the
-axis when
. Compute the derivative.

When
, the gradient is

7. Set
and solve for
. The curve and line meet when

Compute the derivative (for the curve) and evaluate it at these
values.



8. Compute the derivative.

The gradient is 8 when
, so

and the gradient is -10 when
, so

Solve for
and
. Eliminating
, we have

so that
.
Answer:
y = - 5x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, thus
y = - 5x + c ← is the partial equation of the line
To find c substitute (2, 6) into the partial equation
6 = - 10 + c ⇒ c = 6 + 10 = 16
y = - 5x + 16 ← equation of line