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ohaa [14]
3 years ago
8

Solve the absolute value equation, if possible. If there is no solution, explain why.

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

the equation | 5x + 10| = -7 has no solution for x ∈ R.

Step-by-step explanation:

Given the absolute value equation

| 5x + 10| = -7

  • We know that absolute value is always positive.

Reason:

The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.

Conclusion:

Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.

Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.

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Find the 37th term of 352,345,338
Mariulka [41]

Answer:

a_{37}=100

Step-by-step explanation:

Given that,

A sequence 352,345,338.

First term = 352

Common difference = 345-352 = -7

We need to find the 37th term of the sequence.

The nth term of an AP is given by :

a_n=a+(n-1)d\\\\a_{37}=352+36\times (-7)\\\\a_{37}=100

So, the 37th term of the sequence is 100.

8 0
3 years ago
Rectangle QRST is dilated by a scale factor of 1/2. What is the perimeter of rectangle Q'R'S'T'. (Please help)
natima [27]

Answer:

7

Step-by-step explanation:

take the perimeter of what you have now (14) and divide it by 2, because it is dilated by 1/2

8 0
2 years ago
A cylindrical barrel with a radius of 12 feet rests on its round side against a wall. A ladder leans against both the barrel and
frosja888 [35]
The answer is 24 cool
5 0
3 years ago
Square root of x plus 8 end root minus 6 equals x
Pachacha [2.7K]

Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

For more explanation, refer the following link:

brainly.com/question/10572241

#SPJ10

5 0
2 years ago
- 3(1 – n) =-6 - 6n<br> Step by step please if possible
harkovskaia [24]
-3 + 3n = -6 - 6n. Expand the brackets
3n + 6n = -6 + 3. Collect like terms
9n = -3
n = -3/9 = -1/3
5 0
2 years ago
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