The wording of the question leaves room for two interpretations, but I believe the expected answer is six. Think of the "Star of David" (also known as the Magen David). See the "Web Link" at the bottom left. But that's for only one orientation. There are an infinite number of points on each line segment, so if you rotate one triangle with respect to the other, different pairs of points will be involved.
In three-dimensional space, two planes can either:* not intersect at all, * intersect in a line, * or they can be the same plane; in this case, the intersection is an entire plane.
If it's a line it would only be 1, but if it's a parabola, or something with a curve, it could be multiple times.
You need numbers from the sides of the triangles. Take numbers from the corresponding (matching) sides, one number from the small triangle, and one number from the big triangle. Then divide the big number by the small number. The answer is the scale factor. Put another way, the scale factor is the number that multiplies the small triangle to create the large triangle.
The area of a triangle can be a rational number or an irrational number depending on its dimensions.
Yes, except when the line is in the plane. In the latter case, they intersect at each point on the line (an infinite number).
1.
one
5
A triangle can have only one obtuse angle
When two circles intersect, they can create a maximum of 2 intersection points. Each straight line can intersect with each of the two circles at a maximum of 2 points, contributing 10 points from the lines and circles. Additionally, the five straight lines can intersect each other, yielding a maximum of ( \binom{5}{2} = 10 ) intersection points. Therefore, the total maximum points of intersection are ( 2 + 10 + 10 = 22 ).
Just the one
32
The minimum number is zero(0). The maximum number is one (1).
6 maximum points of intersection
In three-dimensional space, two planes can either:* not intersect at all, * intersect in a line, * or they can be the same plane; in this case, the intersection is an entire plane.
The maximum number of intersection points formed by 4 lines occurs when no two lines are parallel and no three lines are concurrent (i.e., they do not all meet at a single point). In this case, each pair of lines can intersect at a unique point. The number of ways to choose 2 lines from 4 is given by the combination formula ( \binom{n}{2} ), so for 4 lines, the maximum number of intersection points is ( \binom{4}{2} = 6 ).
"The sum of a number and three times another number is 18. find the numbers if their product is a maximum?"