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Finger [1]
3 years ago
11

Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.

Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

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a rectangle measures by 3 cm by 4 cm. a rectangle similar to the first measures 12 cm by 16 cm. find the ratio of the areas of r
kumpel [21]
The side that measures 12 cm corresponds to the side that measures 3 cm.
The side that measures 16 cm corresponds to the side that measures 4 cm.
The ratio of the side lengths is (12 cm)/(3 cm) = (16 cm)/(4 cm) = 4

Now let's calculate the two areas.

For the 3 cm by 4 cm rectangle:
A = LW = 3 cm * 4 cm = 12 cm^2

For the 12 cm by 16 cm rectangle:
A = LW = 12 cm * 16 cm = 192 cm^2

The ratio of the areas is (192 cm^2)/(12 cm^2) = 16

The ratio of the areas is 16.
The ratio of side lengths is 4.
Notice that 16 = 4^2.
The ratio of the areas is the square of the ratio of the side lengths.
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3 years ago
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ABC is a right angled triangle
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Answer:

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Step-by-step explanation:

AB=20

AC=6

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So,by Pythagoras Theorem:-

AC2=AB2+BC2

Therefore:-

AB2-AC2=BC2

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