Two real solutions of tx^2+3x_7=0
1 answer:
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Answer:
2.Both boundary lines are solid.
3.A solution to the system is (1, 3)
5.The boundary lines intersect.
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the solid line
The slope of the solid line is 3
The point (1,3) is a solution of inequality A (lie in the shaded area of the solution set)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is -1
The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)
The solution of the system of inequalities is the shaded area between the two solids lines
see the attached figure
<u><em>Verify each statement</em></u>
1.The slope of one boundary line is 2
The statement is False
2.Both boundary lines are solid.
The statement is True
3.A solution to the system is (1, 3)
The statement is True
4.Both inequalities are shaded below the boundary lines
The statement is False
5.The boundary lines intersect.
The statement is True
The intersection point is (0.25,1.75)
see the attached figure
Length of the radius of the cone is equals to 5 cm.
<h3>What is right circular cone?</h3>
" A right circular cone is the 3 dimensional solid shape, which has an axis that is perpendicular to its circular base."
Formula used
Pythagoras theorem
(Hypotenuse)² = (adjacent side)² + (opposite side)²
According to the question,
Slant height 'l' of the cone = 13cm
height 'h' of the cone = 12cm
Let 'r' be the radius of the base of the cone.
As per the diagram,
InΔABC,
Apply Pythagoras theorem, we get
(l)² = (h)² +(r)²
Substitute the values of 'l' and 'h' in the formula we get,
(13)² =(12)² + (r)²
⇒ (r)² = 169 - 144
⇒ r =√25
⇒ r = 5cm
Hence, length of the radius of the cone is equals to 5 cm.
Learn more about right circular cone here
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