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astraxan [27]
4 years ago
7

1. Use both methods to find the distance between the points on the number line. Method A: Count the number of units between the

points. Method B: Take the absolute value of the difference of the two numbers. When taking the absolute value, show that the greater number or the lesser number can be the subtrahend (the number subtracted).
-12 and 19 on a number line are shown (I cant put in the pic)

Mathematics
2 answers:
Gnoma [55]4 years ago
8 0
Method A

-11, -10, -9, -8, -7, -6 ,-5, -4, -3, -2 ,-1, 0, 1 ,2, 3, 4, 5 ,6 ,7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer: 31

Method B

|-12 - 19|

|-31|

Answer: 31

The absolute value method is faster.
Tamiku [17]4 years ago
7 0

Answer:

The distance between the points is 31.

Step-by-step explanation:

Consider the provided information.

Method A: Count the number of units between the points.

Consider the figure shown and cont the units between the point -12 and 19.

There are 31 units between -12 and 19.

Hence, the required answer is 31.

Method B: Take the absolute value of the difference of the two numbers.

Subtract the number using absolute value.

We can find the difference with two ways:

Way 1: Subtract smaller number(-12) from the bigger number(19).

|19 -(- 12)| = |19+12| = 31

Way 2: Subtract bigger number(19) from the smaller number(-12).

|-12 - 19|  = |-31|

Hence, the distance between the points is 31.

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Answer:

x=22

Step-by-step explanation:

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4x-20+x=90

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x=22

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Formúla General <br>a) 4x²=9x-2=0 <br><br>b) X²+8x-84=0<br>​
makkiz [27]

Answer:<em> </em><em>a)</em> x=\dfrac{-9 \pm\sqrt{113} }{8}

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Step-by-step explanation:

a) 4x² + 9x - 2 = 0

x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=4; \: \: b=9; \: \: c=-2\\x =\dfrac{-9 \pm \sqrt{9^{2}-4 \cdot 4 \cdot (-2) } }{2 \cdot 4} =\dfrac{-9 \pm\sqrt{113} }{8}

b) x² + 8x - 84 = 0

x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x =\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1} =\dfrac{-8 \pm\sqrt{400} }{2}=\dfrac{-8 \pm 20}{2} =-4 \pm 10\\\\x_{1} =-14\\x_{2} =6

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3 years ago
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Answer:

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Step-by-step explanation:

Δ=3²-4*1*4=9-16=-7

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