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Wittaler [7]
3 years ago
14

Solve the system by substitution. y = 8x y=10x – 4 Submit Answer How

Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer:

(2,16)

Step-by-step explanation:

y=8x-----------(i)

y= 10x-4---------(ii)

Substituting the value of y=8x in equation (ii)

8x=10x-4

8x-10x=-4

-2x= -4

x=2

Now, substituting the value of x= 2 in equation (i)

y=8x=8(2)=16

Solution of the system is (2,16)

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b=base
h=height

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Pythagoras theorem:
hypotenuse²=leg₁² + leg₂²

data:
hypotenuse=9.6 ft
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leg₂=8.4 ft /2=4.2 ft

(9.6 ft)²= h² + (4.2 ft)²
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h²=92.16 ft²-17.64 ft²
h²=74.52 ft²
h=√(74.52 ft²)=8.63 ft.

Volume of this quadrangular pyramid=(1/3)(70.56 ft²)(8.63 ft)=202.9 ft³≈202.3 ft³

Answer: ≈202.3 ft³
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