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Nastasia [14]
3 years ago
6

Use absolute value to show the distance on the number line between -12 and -2.

Mathematics
2 answers:
mezya [45]3 years ago
7 0

Answer:

10

Step-by-step explanation:

Let us draw  a number line.

From the line we can find the distance.

Now, from the graph we can see that ,

distance between -12 and -2 is 10

You can find it using absolute value.

Then distance would be

|-12-(-2)|

=|-12+2|

=|-10|

=10

since,  |-x|=x


So, the distance is     10

Galina-37 [17]3 years ago
4 0

the distance is 10 hope this helps and hope its correct


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Step-by-step explanation:

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Answer the geometry question in the pic and save my life...
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Step-by-step explanation:

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3 years ago
A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 120 ft high. Approximate the required work by a
Anastasy [175]

Answer:

Exercise (a)

The work done in pulling the rope to the top of the building is 750 lb·ft

Exercise (b)

The work done in pulling half the rope to the top of the building is 562.5 lb·ft

Step-by-step explanation:

Exercise (a)

The given parameters of the rope are;

The length of the rope = 50 ft.

The weight of the rope = 0.6 lb/ft.

The height of the building = 120 ft.

We have;

The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;

ΔW₁ = 0.6Δx·x

The work done for the second half, ΔW₂, is given as follows;

ΔW₂ = 0.6Δx·x + 25×0.6 × 25 =  0.6Δx·x + 375

The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375

∴ We have;

W = 2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750

The work done in pulling the rope to the top of the building, W = 750 lb·ft

Exercise (b)

The work done in pulling half the rope is given by W₂ as follows;

W_2 =  \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5

The work done in pulling half the rope, W₂ = 562.5 lb·ft

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3 years ago
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What is the value of the dicsriminant of x^2-7x+4?
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Answer:

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x^2 - 7x + 4.

The discriminant of the above

= b^2 - 4ac

=  (-7)^2 - 4*1*4

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8 0
3 years ago
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