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max2010maxim [7]
3 years ago
6

What does the equation -9+|m-8|<0 equal to?

Mathematics
1 answer:
UNO [17]3 years ago
7 0

The equation -9+|m-8|equals to -1 < m < 17

Step-by-step explanation:

We need to solve the equation:

-9+|m-8|

Solving:

Adding 9 on both sides

-9+9+|m-8|

Applying absolute rule: |u| < a and a > 0 then, -a < u < a

So, -9 < m-8 < 9

Now we have,

m-8>-9 and m-8 <9

m>-9+8 and m <9+8

m>-1 and m<17

Combining the intervals:

-1 < m < 17

So the equation -9+|m-8|equals to -1 < m < 17

Keywords: Inequality, Absolute rule

Learn more about inequality at:

  • brainly.com/question/1465430
  • brainly.com/question/1858613

#learnwithBrainly

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Answer:

d≈91.63m

Step-by-step explanation:

d=w2+l2=78.92+46.62≈91.63389m

7 0
3 years ago
How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i
zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

\dbinom 31 \dbinom 32 = 3\cdot3 = 9

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

\dbinom 33 \dbinom 30 = 1\cdot1 = 1

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}

where we use the binomial identity

\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n

3 0
1 year ago
5x-2y=2 slope intercept form?
Nata [24]

Answer:

y = \frac{5}{2}x-1  

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx  + b. So, to place the given equation in slope-intercept form, isolate the y on the left side and arrange the terms in that matching order. Remember, whatever you do to one side, do to the other:

5x-2y = 2\\-2y = -5x + 2\\\frac{-2}{-2}y = \frac{-5}{-2} x+\frac{2}{-2} \\y = \frac{5}{2} x-1

So, the slope-intercept form is y = \frac{5}{2}x-1.

6 0
3 years ago
PLEASE HELP THIS IS A TIMED TEST!!!!! I WILL GIVE BRAINLIEST TO THE FIRST GOOD ANSWER IF YOU ASK FOR BRAINLIEST BEFORE ANSWERING
Veseljchak [2.6K]

Answer:

A

Step-by-step explanation:

6x-15=6x-15

4 0
3 years ago
Read 2 more answers
Please help me and If your answer is wrong or not appropreat I will report it
arsen [322]

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

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4×243 = 972:

Answer: 972 x^16 y^24

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