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Romashka [77]
3 years ago
7

ACFG is a parallelogram, If AX = 4y + 3 and XF = 2y + 7, find AX.

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:

AX=XF

4y+3=2y+7

4y-2y=7-3

2y=4

y=2

then,

AX=4y+3

=4×2+3

=8+3

=11

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I know you want to answer this question.
Alik [6]

Answer:

D. x = 3

Step-by-step explanation:

\frac{1}{2} ^{x-4} - 3 = 4^{x-3} - 2

First, convert 4^{x-3} to base 2:

4^{x-3} = (2^{2})^{x-3}

\frac{1}{2} ^{x-4} - 3 = (2^{2})^{x-3} - 2

Next, convert \frac{1}{2} ^{x-4} to base 2:

\frac{1}{2} ^{x-4} = (2^{-1})^{x-4}

(2^{-1})^{x-4} - 3 =  (2^{2})^{x-3} - 2

Apply exponent rule: (a^{b})^{c} = a^{bc}:

(2^{-1})^{x-4} = 2^{-1*(x-4)}

2^{-1*(x-4)} - 3 = (2^{2})^{x-3} - 2

Apply exponent rule: (a^{b})^{c} = a^{bc}:

(2^{2})^{x-3} = 2^{2(x-3)}

2^{-1*(x-4)} - 3 = 2^{2(x-3)} - 2

Apply exponent rule: a^{b+c} = a^{b}a^{c}:

2^{-1(x-4)} = 2^{-1x} * 2^{4}, 2^{2(x-3)} = 2^{2x} * 2^{-6}

2^{-1 * x} * 2^{4} - 3 = 2^{2x} * 2^{-6} - 2

Apply exponent rule: (a^{b})^{c} = a^{bc}:

2^{-1x} = (2^{x})^{-1}, 2^{2x} = (2^{x})^{2}

(2^{x})^{-1} * 2^{4} - 3 = (2^{x})^{2} * 2^{-6} - 2

Rewrite the equation with 2^{x} = u:

(u)^{-1} * 2^{4} - 3 = (u)^{2} * 2^{-6} - 2

Solve u^{-1} * 2^{4} - 3 = u^{2} * 2^{-6} - 2:

u^{-1} * 2^{4} - 3 = u^{2} * 2^{-6} - 2

Refine:

\frac{16}{u} - 3 = \frac{1}{64}u^{2} - 2

Add 3 to both sides:

\frac{16}{u} - 3 + 3 = \frac{1}{64}u^{2} - 2 + 3

Simplify:

\frac{16}{u} = \frac{1}{64}u^{2} + 1

Multiply by the Least Common Multiplier (64u):

\frac{16}{u} * 64u = \frac{1}{64}u^{2} + 1 * 64u

Simplify:

\frac{16}{u} * 64u = \frac{1}{64}u^{2} + 1 * 64u

Simplify \frac{16}{u} * 64u:

1024

Simplify \frac{1}{64}u^{2} * 64u:

u^{3}

Substitute:

1024 = u^{3} + 64u

Solve for u:

u = 8

Substitute back u = 2^{x}:

8 = 2^{x}

Solve for x:

x = 3

4 0
3 years ago
Help me please this is the last question I have to pass ‼️
Annette [7]
The answer is
2
Explanation
You have to do 2/3 x 3 and you do that by multiplying 2 and 3 (6/6)
Which if you split up is 3/3, 3/3 = 2
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3 years ago
What is the simplified expression for -2a^2b+a+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
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a^2+a-ab+3ab^2-b^2 I hope this helps

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3 years ago
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6. Trail Bike Rentals charges a $16 fixed fee plus $8 per hour for renting a bike. Matt paid $72
Naddik [55]

Answer:

7 hours

Step-by-step explanation:

The total amount is the flat fee plus the amount per hour times the number of hours

16 + 8h = 72

Subtract 16 from each side

16+8h-16 = 72 -16

8h = 56

Divide by 8

8h/8 = 56/8

h = 7

7 hours

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3 years ago
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There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?
VLD [36.1K]
Total divided by number of rows=number per row
63/7=9
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