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Dmitrij [34]
3 years ago
11

Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

AC = 30

Step-by-step explanation:

Start with:

4x+10=3x-2+2x+7

Combine like terms.

4x+10=5x+5

Subtract 4x from both sides of the equation.

10=x+5

Subtract 5 from both sides of the equation.

x = 5

Then, substitute 5 for x in AC=4x+10

AC=4(5)+10

Multiply.

AC=20+10

Finally, add.

AC=30

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F(x) = 3x+1, for f. 3).
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Answer:

10

Step-by-step explanation:

F(x) = 3x+1, for f. 3)

3x3=9

9+1=10

8 0
3 years ago
Express the improper fraction as a mixed number in simplest form 39/8
mestny [16]

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Simplify the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-5%2Bi%7D%7B2i%7D" id="TexFormula1" title="\frac{-5+i}{2i}"
Fudgin [204]

Answer:

1/2 + 5/2 i

Step-by-step explanation:

(-5+i)         i

---------* --------

2i             i

cannot have i in the denominator so we multiply by i

(-5+i)         i             -5i + i^2

---------* --------  = ----------------

2i             i              +2i^2

remember i^2 = -1

     -5i + -1        -1 -5i

= ---------------- = ------------------

    +2(-1)                        -2

get rid of the negative in the denominator by multiplying the top and bottom by -1

    (-1 -5i) * -1

= ------------------

          -2*(-1)


    (1 +5i)

= ------------------   =   1/2 + 5/2 i

          2

6 0
3 years ago
50 POINTS REWARD!! <br> please answer all of the following questions correctly:
Pani-rosa [81]

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finding LCD

(b) LCD of (x-3)(x+1) and (x-3) is (x-3)(x+1)

(c)

\frac{3x-2}{(x-3)(x+1)} -\frac{x+1}{(x-3)(x+1)}

(d)

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What is the volume of a sphere with a diameter of 5.4 ft, rounded to the nearest tenth of a cubic foot?
Lelechka [254]

Answer:

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