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2 years ago

A line has the equation y = 6x + 14 What are the coordinates of the y-intercept of the line?

Mathematics

1 answer:

Firdavs [7]2 years ago

4 0

Answer:

(0,4)

Step-by-step explanation:

formula is y = mx + b

b is the y intercept

y intercept is where the line passes through the y axis

when x is 0 y is 14

because y = 6(0) + 14 -> y= 0+14 -> y= 14 when is 0

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A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in

velikii [3]

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}$

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

$\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}$

$= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m$

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

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2 years ago

A pond 85 feet across; 1 inch = 4 feet

enot [183]

Well... all u have to do is 85 divided by 4 which equals 21.25..... unless there is another part of the question!!

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4 years ago

By what percent will a fraction increase if its numerator is decreased by 30%

Nadya [2.5K]

Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

$\implies \dfrac{x}{y}$

Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7

Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5

$\implies \dfrac{0.7x}{0.5y}$

$\implies \dfrac{0.7}{0.5}=1.4$

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1.4 as a percentage = 1.4 x 100 = 140%

Therefore, the percentage increase is 140 - 100 = 40%

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olga nikolaevna [1]

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3 years ago

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Nady [450]

Answer:

41 is the answer bro thanks

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4 years ago