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horrorfan [7]
2 years ago
6

2x + y = 2 y = –2x – 1

Mathematics
1 answer:
Luda [366]2 years ago
6 0

Answer:

Step-by-step explanation:

2x + y = 2

Substitute -2x-1 for the y:

2x + (-2x-1) = 2

-1 = 2, a contradiction, so there is no solution. The lines do not intersect.

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Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.
Lyrx [107]

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

4 0
3 years ago
11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure
wolverine [178]

9514 1404 393

Answer:

  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

<u>Given</u>:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

<u>Find</u>:

  ∠X, ∠Y, ∠W

<u>Solution</u>:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

7 0
2 years ago
X=4y-7<br> 2x+9y=-31 <br> What be the answer
dybincka [34]

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

7 0
3 years ago
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AveGali [126]

Answer:

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Step-by-step explanation:

5 0
2 years ago
A polynomial that can be factored is called
Bingel [31]
<span>reducible.

hope this helps</span>
4 0
3 years ago
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