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Umnica [9.8K]
3 years ago
15

Solve each system by elimination

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
X-y=11
2x+y=19
add them


x-y=11
<u>2x+y=19 +</u>
3x+0y=30

3x=30
divide 3
x=10

sub baack
x-y=11
10-y=11
minus 10
-y=1
times -1
y=-1


(x,y)
(10,-1)
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I need help for this, thanks
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(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.

---------------------------------------------------------------------------------------

(b) The following functions are positive in quadrant III:

tangent, cotangent

The following functions are negative in quadrant III

cosine, sine, secant, cosecant

A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.

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3 years ago
HELP ASAP I HAVE TO GET IT DONE<br><br><br> Solve for x in the diagram below
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Answer:

x = 35

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Geometry</u>

  • Definition of a Line: A line is 180°

Step-by-step explanation:

<u>Step 1: Set up equation</u>

40° + (2x + 30)° + 40° = 180°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    2x + 110 = 180
  2. Subtract 110 on both sides:         2x = 70
  3. Divide 2 on both sides:               x = 35
7 0
2 years ago
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