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Sladkaya [172]
4 years ago
6

Solve the following equation for r : (1/t(t-1)) - 1/t = 3/t-1

Mathematics
1 answer:
givi [52]4 years ago
8 0

Domain:\\\\t(t-1)\neq0\to t\neq0\ \vee\ t\neq1

\dfrac{1}{t(t-1)}-\dfrac{1}{t}=\dfrac{3}{t-1}\qquad|+\dfrac{1}{t}\\\\\dfrac{1}{t(t-1)}=\dfrac{3}{t-1}+\dfrac{1}{t}\\\\\dfrac{1}{t(t-1)}=\dfrac{(3)(t)}{t(t-1)}+\dfrac{(1)(t-1)}{t(t-1)}\\\\\dfrac{1}{t(t-1)}=\dfrac{3t+t-1}{t(t-1)}\\\\\dfrac{1}{t(t-1)}=\dfrac{4t-1}{t(t-1)}\iff1=4t-1\qquad|+1\\\\2=4t\to4t=2\qquad|:4\\\\\boxed{t=0.5}

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I need help i dont understand what's it asking me to do ​
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6 0
3 years ago
Write the equation of the line that passes. Throught the point (-2,1)and (0,8)put your aswer in fully reduce point slope form un
Soloha48 [4]

Answer:

Step-by-step explanation:

first, we need to find the slope

slope = (y2 - y1) / (x2 - x1)

(-2,1)...x1 = -2 and y1 = 1

(0,8)...x2 = 0 and y2 = 8

now sub

slope = (8 - 1) / (0- (-2) = 7/(0 + 2) = 7/2

point slope form : y - y1 = m(x - x1)

using point (-2,1)....x1 = -2 and y1 = 1

slope(m) = 7/2

now sub

y - 1 = 7/2(x - (-2) =

y - 1 = 7/2(x + 2) <==== here is one answer

y - y1 = m(x - x1)

using point (0,8)...x1 = 0 and y1 = 8

slope(m) = 7/2

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6 0
3 years ago
Which of the following is the solution set of -2|x| &lt; -8
Tema [17]

Answer:

{x| x < -4\:or\: x > 4}

Step-by-step explanation:

−2|x| < −8 ↷

−2x > 8 −2x < −8

___ __ ___ ___

−2 −2 −2 −2

-4 > x OR 4 < x

Whenever you multiply\divide by a <em>negative</em>, you reverse the inequality symbol.

I am joyous to assist you anytime.

3 0
3 years ago
Conner and Jana are multiplying (3568)(39610). Conner's Work Jana's Work (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) =
Mariana [72]

Answer:

Neither of them has partitioned the values correctly. The answer to the sum 3568 × 39610 =141 328 480.

They tried the partition method but did not partitioned it correctly.

3568 = 3000+500+60+8

39610 = 30000+9000+600+10

Now multiply each value of 3568 with the values of 39610. Like:

3000 * 30000

3000 * 9000

3000 * 600

3000 * 8

and so on....

Step-by-step explanation:

5 0
4 years ago
Angle Q = 85° Determine angle O.
kkurt [141]

Answer:

∠O = 95°

Step-by-step explanation:

since ∠Q = 85°, arc NOP = 2(85°) = 170°

arc PQN = 360° - arc NOP

arc PQN = 360° - 170° = 190°

∠O = 1/2(arc PQN) = 1/2(190°) = 95°

4 0
3 years ago
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