Part A: A cross section of the by prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)
Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of
the resulting cross section? Explain your answer. (5 points)

Part A: Rectangle

Part B: Triangle

Step-by-step explanation

Part A:

When you cut a shape paralell you cut side by side creating the same measurements. For this shape you would cut directly down the middle creating two halves. The new shape will take the shape of the base as what happens with a parallel cut.

Part B:

When you cut a shape diagonal you are joining two opposite corners together to create a new shape. For this shape, you cut from either corner and go to the opposite corner on the other side. This will create a paralellogram.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c