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2 years ago

What is the equation of this line?

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

6 0

Answer: in slope intercept form it is y=1/2x-3

Step-by-step explanation:

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in 15 seconds, connor counts 7 vehicles passing by his house. At this rate how many vehicles would pass by in 5 hours

lesya [120]

Multiply by 4 to get to one minute —>28.
Multiply by 60 to get to one hour—> 1,680
Multiply by 5 to get to 5 hours—> 8,400

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2 years ago

The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m

Keith_Richards [23]

Answer:

a) $\left(x,y\right)=\left(4.95,-4.95\right)$

b) $r\angle\theta = 7\angle0.5236\,\text{radians}$

Step-by-step explanation:

Polar coordinates are represented as: $r\angle\theta$ , where 'r' is the length (or magnitude) of the line, and ' $\theta$ ' is the angle measured from the positive x-axis.

in our case:

$7\angle\dfrac{3\pi}{4}$

to covert the polar to cartesian:

$x = r\cos{\theta}$

$y = r\sin{\theta}$

we can plug in our values:

$x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}$

$y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}$

the Cartesian coordinates are:

$\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)$

$\left(x,y\right)=\left(4.95,-4.95\right)$

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

$r^2 = x^2+y^2$

$r^2 = (6.06)^2+(-3.5)^2$

$r = \sqrt{48.97} \approx 7$

the angle can be found by:

$\tan{\theta} = \dfrac{y}{x}$

$\tan{\theta} = \dfrac{3.5}{6.06}$

$\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}$

$\theta = 0.5236 \text{radians}$

to convert radians to degrees:

$\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ$

writing in polar coordinates:

$r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}$

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2 years ago

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Nookie1986 [14]

Answer:

not given

Step-by-step explanation:

4 0

2 years ago

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5)<br> Solve for x.<br> 2x + 16 = 3(x - 9)<br> My Answer:

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

2x+16= 3(x-9)

2x+16= 3x-27

3x-2x^^

16= x-17

16+17

x= 33

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2 years ago

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slava [35]

Answer:

88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.

Step-by-step explanation:

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2 years ago