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gulaghasi [49]
2 years ago
12

What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.

Mathematics
1 answer:
sammy [17]2 years ago
4 0

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

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15) A, B, C, D, E and F are towns situated as follows. * A is 30 km east of D * C is 20 km east of E * F is 10 km west of B * D
harkovskaia [24]

Answer:

Option D: 20km South

Step-by-step explanation:

Lets say A = (0, 0)

  • Finding B:

A is 30km East of D which makes D = (-30, 0)

D is 10km South of F which makes F = (-30, 10)

F is 10km West of B which makes B = (-20, 10)

  • Finding E:

A is 10km North of C which makes C = (0, -10)

C is 20km East of E which makes E = (-20, -10)

  • Finding the answer:

Find distance from B = (-20, 10) to E = (-20, -10)

     1. Cancel equivalent values:

x of B = (-20) and x of E = (-20)

Remove x from equation.

     2. Solve for answer:

B = 10 and E = (-10)

Find the difference: (-10) - 10 = (-20)

Conclusion:

South translates to negative on a graph making the answer 20km South

Hope this helped :)

4 0
1 year ago
PLEASE HELP!!!
tatyana61 [14]

Answer: The equation is y= -2x -4

Step-by-step explanation:

The slope intercept form is like y=mx+b so we know the slope which is m but we just need to find the y intercept.

and we will use the given coordinates to find the y intercept by putting in the x and y coordinates into the formula y=mx + b

-6= -2(1) + b

-6= -2 + b

+2  +2

b= -4

5 0
2 years ago
kylee bought a pack of 12 cookies one-third of the cookies are peanut butter. how many cookies in the pack are peanut butter?
jekas [21]
One-third of 12 cookies are peanut butter.

12/3 =4

4 cookies are peanut butter

6 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP I'LL GIVE YOU 50 POINTS :)
GREYUIT [131]
Choice 1
Choice 1 and 3 shows parallel, choice 2 and 4 shows perpendicular. So cross out choices 2 and 4. We’re left with choices 1 and 3. I would go with choice 1 since choice 3 shows RAY A is parallel to RAY B, which isn’t true, they’re not parallel.
5 0
2 years ago
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6x + 9 &lt; 63<br> what is x?
Natalija [7]
6x + 9 < 63

Subtract 9 from both sides.

6x < 54

Divide 6 by both sides.

x < 9
7 0
2 years ago
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