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Feliz [49]
2 years ago
11

Find the value of x if 9^1/2 • 9^1/2 = x^√81

Mathematics
1 answer:
mario62 [17]2 years ago
3 0

Answer:

(√9)^2x-1/2 = 1/81

3^2x-1/2 = 1/(3)⁴. (as √9 = 3)

3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)

as base are equal exponents are equal

so 3 gets cancelled out

2x-1/2 = -4

(4x-1)/2 = -4

4x-1 = -8

x = -7/4

hope this helps

Step-by-step explanation:

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What is 3 to the power of 8 divided by 3 to the power of 2
Troyanec [42]

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729

Step-by-step explanation:

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2 years ago
18) If the straight line y=m X touches the circle (x - 2)^2 + (y - 6)^2 = 4, then m= ......
fenix001 [56]

Answer:

(8) d. 4/3    (9) a. (X - 4)^2 + (y-4)^2= 25

Step-by-step explanation:

8. CENTER OF CIRCLE: O (2,6)

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if m = 4/3 line: y = 4/3 x

perpendicular distance (d) from center of circle to line y = 4/3 x is

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9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)

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8 0
3 years ago
At Pizza Pi, 24% of the pizzas made last week had extra cheese. If 12 pizzas had extra cheese, how many pizzas in all were made
myrzilka [38]

Answer: 50

Step-by-step explanation:

Let the number of pizza made last week be represented by y.

From the question, we can form it into:

24% of y = 12

24/100 × y = 12

0.24 × y = 12

0.24y = 12

y = 12/0.24

y = 50

50 pizza were made last week.

6 0
2 years ago
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