Answer:
Step-by-step explanation:
The line can be written as
Since the line is contained in the plane, if we take any two points of this line they will lie in the plane.
Give values for t =0 and 1
We get two points (x,y,z) as (1,3,0) and (3,2,1)
Now we have another non collinearpoint (1,1,1) (given)
The plane equation can be written using these 3 points using the determinant.
x-x1 y-y1 z-z1
x2-x1 y2-y2 z2-z1
x3-x1 y3-y1 z3-z1 =0
Substitute the values form the points.
We get
Expand the determinant as
(x-1)(-1+2)-(y-3)(2-0)+z(-4-0) =0
x-1-2y+6-4z =0
x-2y-4z+5 =0
Answer:
Each interior angle of quadrilateral will be less than 180 degrees.
Step-by-step explanation:
A quadrilateral is a geometric shape which has four sides and 4 vertices. The given quadrilateral has 4 vertices and its two dimensional. The quadrilateral has angles less than 180 degrees. All of its angles are less than 180 degrees which are the vertices points on the quadrilateral.
Answer:
p+5+7=p+12
p/(p+12) ×900=120
900p=120(p+12)
90p=12(p+12)
90p=12p+144
90p-12p=144
78p=144
p=144/78
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Answer:
3.9581139448
Step-by-step explanation:
8 ÷ 3 + 13
8 ÷ 3 = 2.66666667
2.66666667 + 13 = 15.6666666
square root of 15.6666666 is 3.9581139448