Answer:
-3>_ x >_ -2
Step-by-step explanation:
x(x+5)>_ -6
Open the bracket
x² + 5x >_ -6
x² +5x + 6 >_ 0
Solve quadratically using factorisation method
Factors of 6 that sum up to +5. ( 2 and 3)
x² + 2x + 3x + 6 >_ 0
Factorise
x(x + 2) +3(x + 2) >_ 0
(x+2)(x+3) >_ 0
Therefore
x + 2 >_ 0 or x +3 >_ 0
x>_ -2 or x >_ -3
-3>_ x >_ -2
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The product of side length and altitude is area. The area remains the same regardless of how you measure it.
From the first side and altitude,
.. area = side*altitude = (4.2 cm)*(3.6 cm) = 15.12 cm^2
From the second side and altitude
.. area = side*altitude
.. 15.12 cm^2 = side*(2.4 cm)
.. side = (15.12 cm^2)/(2.4 cm) = 6.3 cm
The perimeter is the sum of the measures of all sides. Opposite sides are of equal measure.
.. perimeter = 2*(4.2 cm +6.3 cm) = 21.0 cm
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Step-by-step explanation:
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Answer:
18
Step-by-step explanation:
3 / 2 = 1.5
1.5 x 12 = 18
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