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Mariulka [41]
3 years ago
13

Someone please help me with this! |-2-8x|-5<61

Mathematics
1 answer:
Mrac [35]3 years ago
3 0
For
|a|<b
assume
-b<a<b
so

add 5 to both side
|-2-8x|<66
assume

-66<-2-8x<66
add 2 to both sides
-64<-8x<68
divide everyboy by -8, don't forget to flip sign
8>x>-8.5
-8.5<x<8

the solution is all numbers between -8.5 and 8, not including -8.5 and 8
in interval notation: (-8.5,8)
or
S={x|-8.5<x<8}
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Which step is incorrect and what is the correct answer?
Anit [1.1K]

Answer:

Step 4, x = 3

Step-by-step explanation:

Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:

6x = 18

x = 3

7 0
3 years ago
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
monitta
The answer is
A cuz 3^2+4^2=5^2
5 0
3 years ago
HELP FAST PLEASE!!!
Alisiya [41]

Answer:

y = -0.75x + 9.5

Step-by-step explanation:

Equation of a circle is given as :

(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x  + y^{2} -10y + 45 = 0\\

Take the derivative of the above with respect to x

2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75

The equation of the tangent is given by :

y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5

8 0
3 years ago
Read 2 more answers
Does it have an inverse if so what is it?
lidiya [134]

Answer:

no it does not have an inverse. because the determinate is 0 and you can't find the inverse of 0

6 0
3 years ago
Triangle ABC has perimeter 22 cm.
Vilka [71]

Answer: yes it is a right angle triangle

Step-by-step explanation:

a^2 + b^2 = c^2

8^2+ 5^2 = ?

64 + 25 = square root of 89

square root of 89 = 9.4

when we round 9.4 it is 9

so

22- (8+5) =

22 - 13 = 9

so our answer is correct

7 0
3 years ago
Read 2 more answers
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