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SOVA2 [1]
3 years ago
10

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer: C) x = 3, (x = 2 is an extraneous solution)

<u>Step-by-step explanation:</u>

\frac{x}{x-1} - \frac{1}{x-2} = \frac{2x-5}{x^{2}-3x+2}

\frac{x}{x-1} - \frac{1}{x-2} = \frac{2x-5}{(x-1)(x-2)}

Restrictions: <em>Denominator cannot equal zero</em> (x - 1 ≠ 0) and (x - 2 ≠ 0), so x ≠ 1 and x ≠ 2

(x - 1)(x - 2)\frac{x}{x-1} - (x - 1)(x - 2)\frac{1}{x-2} = (x - 1)(x - 2)\frac{2x-5}{(x-1)(x-2)}

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

x² - 2x - x + 1 = 2x - 5

x² - 3x + 1 = 2x - 5

<u>     -2x + 5</u>  <u>-2x + 5 </u>

x² - 5x + 6 = 0

(x - 2)(x - 3) = 0

x - 2 = 0     x - 3 = 0

  x = 2         x = 3

NOTE: x = 2 is an extraneous solution because it is one of the restricted values.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
sergiy2304 [10]

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is  <u>210°</u>

and sin θ is​ <u>-1/2</u>.

Step-by-step explanation:

The correct question is:

<em>The measure of angle θ is 7π/6. The measure of its reference angle is  ___</em>

<em>and sin θ is​ ___</em>

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

6 0
3 years ago
David buys a new racing bike for £x he then sells it for £1584 making a loss of 12% find x
Sholpan [36]

Answer:

x=1800

Step-by-step explanation:

x-1584/x=0.12

x-1584=0.12x

x-0.12x=1584

0.88x=1584

x=1800

Hope this helps plz hit the crown :D

3 0
2 years ago
chelsea takes the bus to school,but she walks home. the bus travels to the school at an average speed of 45 miles per hour. whil
jekas [21]
For this case, the first thing you should know is:
 d: v * t
 Where,
 d: distance
 v: speed
 t: time
 To go to school by bus we have:
 d = 45 * t
 To return from school we have:
 d = 2.5 * (1-t)
 how the distance is the same:45 * t = 2.5 * (1-t)
 Answer:
 the equation that will help find the time it takes chelsea to get to school on the bus is:
 45 * t = 2.5 * (1-t)
 Note: the equation will have one solution. 
4 0
3 years ago
Determine the missing angle​
Assoli18 [71]

Answer:

106°

Step-by-step explanation:

These angles are alternate interior, therefore they are equal to each other.

4 0
2 years ago
PLZ HELP ASAP ANGLE BISECTOR THEOREM
ycow [4]
Angle bisector theorem:
CD/DB=AC/AB
REeplacing the known values:
CD/4=5.6/5.1
Solving for CD. Multiplying both sides of the equation by 4:
4(CD/4)=4(5.6/5.1)
CD=22.4/5.1
CD=4.392156863
Rounded to one decimal place:
CD=4.4

Answer: The length of CD is 4.4

7 0
3 years ago
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