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Marianna [84]
3 years ago
7

The length of the hypotenuse of a 30°-60°-90° triangle is 30 meters. Find the length of the side opposite the 30° angle

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0
Adjacent side is 26meters
Opposite side is 15meters
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This equation represents an exponential function that passes through the point (2, 80).
miss Akunina [59]

we know that

If the point belongs to the graph, then the point must satisfy the equation

we will proceed to verify each case

<u>case A.)</u> f(x)=4(x^{5})

The point is (2,80)

Verify if the point satisfy the equation

For x=2 find the value of y in the equation and compare with the y-coordinate of the point

f(2)=4(2^{5})

f(2)=128

128\neq 80

therefore

the equation f(x)=4(x^{5}) not passes through the point (2,80)

<u>case B.)</u> f(x)=5(x^{4})

The point is (2,80)

Verify if the point satisfy the equation

For x=2 find the value of y in the equation and compare with the y-coordinate of the point

f(2)=5(2^{4})

f(2)=80

80=80

therefore

the equation f(x)=5(x^{4}) passes through the point (2,80)

<u>case C.)</u> f(x)=4(5^{x})

The point is (2,80)

Verify if the point satisfy the equation

For x=2 find the value of y in the equation and compare with the y-coordinate of the point

f(2)=4(5^{2})

f(2)=100

100\neq 80

therefore

the equation f(x)=4(5^{x}) not passes through the point (2,80)

<u>case D.)</u> f(x)=5(4^{x})

The point is (2,80)

Verify if the point satisfy the equation

For x=2 find the value of y in the equation and compare with the y-coordinate of the point

f(2)=5(4^{2})

f(2)=80

80=80

therefore

the equation f(x)=5(4^{x})  passes through the point (2,80)

therefore

<u>the answer is</u>

f(x)=5(x^{4})

f(x)=5(4^{x})

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3 years ago
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