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borishaifa [10]
3 years ago
5

Please help!! Which of the following is equal to the rational expression when x ≠ 2 or -4? 5(x-2)/(x-2)(x+4)

Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

5 / (x+4)      x ≠2 x≠-4

Step-by-step explanation:

5(x-2)/(x-2)(x+4)

The denominator cannot be zero so x ≠2 x≠-4

Cancel like terms in the numerator and denominator

5 / (x+4)      x ≠2 x≠-4

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Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How
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Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

  • if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
  • if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

7 0
3 years ago
Suppose that is in standard position and the given point is on the terminal side of 0. Give the exact value of the indicated tri
Lilit [14]

Answer:

  12/13

Step-by-step explanation:

The length of the segment from the origin to the terminal point is ...

  r = √((-5)² +12²) = √169 = 13

The sine of the angle is the ratio of the y-coordinate to this distance

  sin(θ) = y/r = 12/13

_____

Additional comment

The other trig functions are ...

  cos(θ) = x/r = -5/13

  tan(θ) = y/x = -12/5

This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.

6 0
2 years ago
I need some math help
Amiraneli [1.4K]

i think the answer is(1,0) im not sure

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3 years ago
What are the intercepts on a graph for y=4x-2
ollegr [7]
The intercepts for this equation is (1/2,-2) I hope this helps

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3 years ago
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