The given plane, 
, has normal vector 
. Any plane parallel to this one has the same normal vector.
Let 
be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is
and this is perpendicular to 
.
So the equation of the plane is
or equivalently,
Jason = J Bill = B Sharon = S
J = 5+B
B= 2×S
J= 5+ (2×S)
Answer:
1/36
Step-by-step explanation:
the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.
So, 1/6 * 1/6 = 1/36
Hope this is helpful
The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is 
Step-by-step explanation:
We need to find a polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3.
If -1, 1 and 3 are real zeros, it can be written as:
x= -1, x= 1, and x = 3
or x+1=0, x-1=0 and x-3=0
Finding polynomial by multiply these factors:
So, The polynomial function whose real zeros are in -1, 1, 3 and whose degree is 3 is
Keywords: Real zeros of Polynomials
Learn more about Real zeros of Polynomials at:
#learnwithBrainly
Answer:46
Step-by-step explanation:Regular polygons are shapes made of straight lines with certain relationships among their lengths. For instance, a square has 4 sides, all the same length. A regular pentagon has 5 sides, all the same length. For these shapes, there are formulas for finding the area. But for irregular polygons, which are made of straight lines of any length, there are no formulas, and you need to be a little creative to find the area. Fortunately, any polygon may be divided into triangles, and there is a simple formula for the area of triangles.
Label the vertices (points) of the polygon starting with 1 at an arbitrary vertex and continuing clockwise around the polygon. There should be as many vertices as there are sides. E.g. for a pentagon (five sides) there will be five vertices.
Draw a line from vertex 1 to vertex 3. This will make one triangle, with vertices 1, 2, and 3. If there are only 4 sides, it will also make a triangle with vertices 1, 3 and 4.If the polygon has more than 4 sides, draw a line from vertex 3 to vertex 5. Continue in this way until you run out of vertices.
Compute the area of each triangle. The formula for the area of a triangle is 1/2 * b * h, where b is the base and h is the height.
Add up the areas, and this is the area of the polygon.
