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Ray Of Light [21]
2 years ago
5

Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
7 0

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

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What initial investment must be made to accumulate $60000 in 17 years if the money is invested in a mutual fund that pays 12% an
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$7881.18

Step-by-step explanation:

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   As the annual interest rate is 12%, the monthly interest rate is 1%.

Since this is a compound interest problem, the total amount can be modeled as follows: P(t)=P_{0}(1+\frac{i}{100})^{t}

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morpeh [17]

The height of the kite will be 53.32 feet above the ground.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

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The height of the kite above the ground will be calculated as:-

Sin\theta = \dfrac{perpendicular}{Hypotenuse}

Sin(29)=\dfrac{H}{110}

H = Sin(29)  x  110

H  = 53.32 feet

The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-

H(t)  = 53.232  +  3.5

H(t)  = 56.28 feet.

Therefore the height of the kite will be 53.32 feet above the ground.

To know more about Trigonometry follow

brainly.com/question/24349828

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