If the square pyramid shown above is sliced by a plane that passes through the top vertex, which of the following best describes the cross-section of the pyramid?
obtuse triangle
isosceles triangle
rectangle
square

Isosceles triangle

Step-by-step explanation:

A square pyramid has a square base and four triangular faces that meet at a common point. The square pyramid below is sliced by a plane perpendicular to the base and passing through the top vertex.The cross-section created by the plane is an isosceles triangle. Therefore, the isosceles is the best choice.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: