Answer:
A rectangle
Step-by-step explanation:
<u><em>The complete question is</em></u>
A triangular prism was <u>sliced</u> perpendicular to its bases and through a vertex. What is the shape of the cross section shown in the figure?
we know that
In a triangular prism, each cross-section parallel to the triangular base is a triangle congruent to the base, and the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases is a rectangle
See the attached figure to better understand the problem
Answer:
\sqrt(53)
Step-by-step explanation:
Pythagorean theorem: a^2+b^2=c^2
36+b^2 = 89
b^2 = 53.
b = \sqrt(53)
(because a side length cannot be negative.)
Answer:
The answer is all real numbers
equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(1,-2) and slope of 1/3
y-(-2)=1/3(x-1)
general form is ax+by=c (or ax+by+c=0) where a,b,c are integers and a is positive
y-(-2)=1/3(x-1)
y+2=1/3(x-1)
times both sides by 3
3y+6=x-1
minus 3y both sides
6=x-3y-1
add 1 both sides
7=x-3y
x-3y=7
To get ax+by+c=0 form, subtract 7 from both sides to get
x-3y-7=0