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gogolik [260]
3 years ago
13

URGENT!!! Find the rectangular coordinates of the point with the polar coordinates.

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

we have that

(r, ∅)----------> (-7, 5 pi/3)

we know that

5 pi/3--------> 300°-----------> -60°

To convert polar cordinates in rectangular one with use the following formula:

x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2

y=r*sin ∅-------> y=-7*sin -60------->  y=-7*(-√3)/2----> y=7√3/2

the answer is the option

D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2

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Answer:

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Step-by-step explanation:

Given

f(-1.5) = 26

f(5.5) = 7

Required

f(10)

An exponential function is represented as:

f(x) = ab^x

f(-1.5) = 26 impleies that:

26 = ab^{-1.5} --- (1)

f(5.5) = 7 implies that

7 = ab^{5.5} --- (2)

Divide (2) by (1)

26/7 = ab^{-1.5}/ab^{5.5}

3.71429 = b^{-1.5+5.5}

3.71429 = b^{4}

Take 4th root

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Substitute b = 1.39 in 26 = ab^{-1.5}

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26 = a * 0.6102

Solve for (a)

a = 26/0.6102

a = 42.61

f(10) is calculated as:

f(10) = ab^{10}

f(10) = 42.61 * 1.39^{10}

f(10) = 1147.25

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