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weeeeeb [17]
4 years ago
11

The polar coordinates of a point are given. find the rectangular coordinates of this point.(5, 3pi/4

Mathematics
1 answer:
xeze [42]4 years ago
3 0
X would be r*cos theta and y  would be r*sin theta.

Here, x is 5cos 135 deg = 5(-1/sqrt(3))
and    y is 5* sin 135 deg = 5*(1/sqrt(3))


Write this point in the form (x,y), using the above values for x and y.

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1)A

2)B

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3 years ago
Solve the system y = -x + 7 and y = -0.5(x - 3)2 + 8
arlik [135]

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The solution of the system is at point (1,6) and (7,0).

Step-by-step explanation:

Given : System of equation y=-x+7 and y=-0.5(x-3)^2+8

To find : Solve the system of equation?

Solution :

We solve the equation graphically as the intersection points give you the solution of the system.

The equation given is one linear and one parabolic.

(1) y=-x+7 is a linear equation in red line passes through (0,7) and (7,0).

(2) y=-0.5(x-3)^2+8 is a parabolic equation in blue line passes through (-1,0) and (7,0)

The intersection point of the equations are (1,6) and (7,0).

<u>Refer the attached figure below.</u>

Therefore, The solution of the system is at point (1,6) and (7,0).

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