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GaryK [48]
3 years ago
7

2(3x – 1) = 6x – 2 number of solutions

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer: All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

2(3x−1)=6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=6x−2

(2)(3x)+(2)(−1)=6x+−2(Distribute)

6x+−2=6x+−2

6x−2=6x−2

Step 2: Subtract 6x from both sides.

6x−2−6x=6x−2−6x

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

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Anna71 [15]

Answer:

By power of a point, AC⋅CB=DC⋅CE. That is, 12⋅12=6⋅(2R–6).

Then, R=15.

5 0
3 years ago
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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?
Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

(C_x,C_y) ----> coordinates of point C

we have that

The horizontal distance AB is equal to

AB_x=10-2=8\ units

The vertical distance AB is equal to

AB_y=10-4=6\ units

Find the horizontal coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_x}{CB_x}=\frac{3}{1}

AC_x=3CB_x----> equation A

AC_x+CB_x=8 ----> equation B

substitute equation A in equation B

3CB_x+CB_x=8

4CB_x=8\\CB_x=2

AC_x=3(2)=6

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

C_x=A_x+AC_x=2+6=8

Find the vertical coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_y}{CB_y}=\frac{3}{1}

AC_y=3CB_y----> equation A

AC_y+CB_y=6 ----> equation B

substitute equation A in equation B

3CB_y+CB_y=6

4CB_y=6\\CB_y=1.5

AC_y=3(1.5)=4.5

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

C_y=A_y+AC_y=4+4.5=8.5

therefore

The coordinates of point C are (8,8.5)

5 0
3 years ago
-4 ≥ x + 2 < 1
Reil [10]
-4 line under > SO -4 > x + 2 < 1

                              (-4 > x + 2) and (x + 2 < 1)


                               (x < -6)  and (x < 1)
     
                                Now combine the ranges

                                x line under < SO 

                                x < -6 is your answer

Brainliest if satisfied!!!
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1 Mrs. Thiel has 178 papers to grade.
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Answer:

73 Papers

Step-by-step explanation:

Let's start by finding out how many papers Mrs. Thiel has already graded.

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Mrac [35]

Answer:

5

Hope it helpz~ uh..

Have a great day ahead..

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