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3 years ago

Please help quickly !

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

6 0

For the 2nd picture, c. 26/7

Paul [167]3 years ago

5 0

For the first picture it’s -5/7

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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:

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

5 0

3 years ago

Find the point of Intersection of two lines Y= 4x + 1 and Y 2x + 7

satela [25.4K]

Answer:

(3, 13)

Step-by-step explanation:

i plugged the two lines into desmos :)

5 0

2 years ago

Read 2 more answers

Shawn graphed the points listed below.

Semenov [28]

Answer: A. (4, 4) and (4, 5)

Step-by-step explanation:

The same x value maps onto more than one y value.

6 0

2 years ago

Enter the solution (x,y) to the system of equations shown. y= -6 y= 4x+12

andriy [413]

Y= -6 --> plug this -6 into the y of the 2nd equation
y= 4x+12 --> -6 = 4x+12 --> 4x = -18
x = -18/4 = -9/2 --> now this is the x solution coordinate, and we know that y must equal -6 from the 1st equation, so our solution point is:
(-9/2, -6)
Hope that helped!

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME IMMEDIATELY

valkas [14]

Answer:

Angle 1 = Angle 2 = 5y -23 (Vertically opposite)

We can see that we have a triangle in the figure

Since the sum of all angles of a triangle is 180,

(2x + 13) + (47) + (5y -23) = 180

2x + 5y + 37 = 180

2x + 5y = 143

5y = 143 -2x -----------------(1)

Assuming l and m to be parallel

angle 1 = 3x (corresponding angles)

5y - 23 = 3x

From equation (1)

143 -2x - 23 = 3x

120 = 5x

x = 24 ---------------------- (2)

Using (2) in (1)

5y = 143 - 2(24)

5y = 143 - 48

5y = 95

y = 19

Therefore,

x = 24

y = 19

Kindly mark Brainliest

8 0

3 years ago