Answer:
(D) is the right answer
Step-by-step explanation:
The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.
A triangular pyramid has four faces. So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.
A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.
B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.
C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.
D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.
So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.
Answer:
A or B, I think it's A...
Answer:
270
Step-by-step explanation:
108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.
Answer:
The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 .
Step-by-step explanation:
Given as :
The slope of a line = m = 2
The line is passing through point = 
, 
= 3 , 10
Now, <u>Equation of line in point- slope form</u>
y - = m × (x - )
Or, y - 10 = 2 × (x - 3)
Or, y - 10 = 2 × x - 2 × 3
Or, y - 10 = 2 x - 6
Or, y = 2 x - 6 + 10
Or, y = 2 x + 4
So, The equation of line y = 2 x + 4
Hence, The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 . Answer
Answer:
x = 1 and y = - 4
Step-by-step explanation:
The equation of a vertical line is
x = c
where c is the value of the x- coordinates the line goes through.
Here the line passes through (1, - 4) with x- coordinate 1, thus
x = 1 ← equation of vertical line
The equation of a horizontal line is
y = c
where c is the value of the y- coordinates the line goes through.
Here the line passes through (1, - 4) with y- coordinate - 4, thus
y = - 4 ← equation of horizontal line
