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Sergio039 [100]
2 years ago
5

Write a cosine function that has a midline of 2, an amplitude of 4 and a period of pi/2.

Mathematics
1 answer:
exis [7]2 years ago
4 0

y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

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Find the distance between the points E(3, 7) and F(6, 5). The exact distance between the two points is .
S_A_V [24]

Answer:

\sqrt{13}

Step-by-step explanation:

The trick here is to know the distance formula (a formula that helps you find the distance between two points).

Distance formula: distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

But now that we know this, we can simply plug in our values and solve!

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\sqrt{(6-3)^2+(5-7)^2}\\\sqrt{(3)^2+(-2)^2}\\\sqrt{9+4}\\\sqrt{13}

Now we can tell from our answer that the distance between both points is \sqrt{13}

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