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andrezito [222]
3 years ago
5

Solve the system of equation — 3х + бу = 9 5х + 7y = -49

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

y = 64/3

x = -119/3

Step-by-step explanation:

3х + 6у = 9 => 5*3x+5*6у = 9*5 => 15x+30у=45 (1)

5х + 7y = -49 => 3*5x + 3*7y = -49*3 => 15x+21y=-147 (2)

(1)-(2) => 9y = 192 => y = 64/3

x = -119/3

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The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
QveST [7]

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

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

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

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

where

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

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

Learn more about Length of an Arc:

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4 0
2 years ago
Write a equation for (-6, -3)
Vlad [161]

<u>Answer</u>:

equation: y = x/2

<u>Explanation</u>:

let the points be  (-6, -3) ,  ( 0, 0)

slope: \frac{y2-y1}{x2-x1}

         : \frac{0--3}{0--6}

         : \frac{1}{2}

Equation using:

y - y1 = m ( x - x1 )

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y\\ = \frac{x}{2}

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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A hiker travels 12 km in 3 h.
FinnZ [79.3K]
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6 0
3 years ago
Find the missing segment.
Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

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? = 28 - 21

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Hope this helps!

3 0
4 years ago
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