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notka56 [123]
3 years ago
10

Which expression is equivalent to the given expression? (3m-4) (375)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

9514 1404 393

Answer:

  D.  81/m^7

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

Using these, your expression simplifies to ...

  (3m^{-4})^3(3m^5)=(3^3)(3)(m^{-4\cdot3+5})=81m^{-7}=\boxed{\dfrac{81}{m^7}}

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Given y- x ≥ 2 and y ≤ -3x+2
sukhopar [10]

Answer:

Picture 3

Step-by-step explanation:

The easiest method is to see if (0,0) is the solution.

1. <em>The line y ≤ -3x + 2 is the line pointing down, and y - x ≥ 2 is the line pointing up</em>, since negative slopes go bottom-right.

2. y - x ≥ 2 --> plug in numbers: 0 - 0 ≥ 2 --> Not true --> the line pointing up's shading will go up, to avoid (0,0) --> <em>Picture 3 is right</em>.

3 (not needed in this situation). y ≤ -3x + 2 --> 0 ≤ 0 + 2 --> True --> The line pointing bottom right has (0,0) --> <em>Picture 2 or 3 is right</em>.

The overlap of possible answers is picture 3.

3 0
3 years ago
a triangle has an area of 32 square feet centimeters and a base of 8 centimeters. what is the width of the rectangle​
svlad2 [7]

Area = Base x Width ÷ 2

Area = 32cm^2

Base = 8cm

32 ÷ 8 = 4

4 × 2 = 8

Answer = 8

To check our answer:

8 x 8 = 64

64 ÷ 2 = 32

:)

7 0
3 years ago
Please someone help
Karolina [17]

Answer:

cos is used if there is adjacent and hypotenuse

5 0
3 years ago
For questions 9 and 11, solve for the remaining angles.
maw [93]

Answer:

‹A = 141°

‹B = 28°

‹C = 11°

*These angles are rounded to the nearest whole*

Step-by-step explanation:

Because you are only given sides you can find an individual angle measures with the inverse law of cosines.

Remember the side opposite of the angle corresponds to that angle.

a² = b² + c² - 2bc cos(A) →

A = cos⁻¹ (a² - b² - c² / -2bc)

b² = a² + c² - 2ac cos(B) →

B = cos⁻¹ (b² - a² - c² / -2ac)

c² = a² + b² - 2ab cos(C) →

C = cos⁻¹ (c² - a² - b² / -2ab)

4 0
2 years ago
Perform the indicated operation. (4g 2 - 9) ÷ (2g - 3)
Evgen [1.6K]
See picture for steps and answer

6 0
3 years ago
Read 2 more answers
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