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3 years ago

The forces exerted on an object are shown.

Mathematics

1 answer:

Svetllana [295]3 years ago

3 0

Answer:

The possible value of F must be 5N.

Step-by-step explanation:

A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.

In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.

If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.

If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.

Therefore, the possible value of F is less than 6N. Thus, F = 5N.

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Answer:

Step-by-step explanation:

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3 years ago

Simplify. (5sqrt2-1)^2

lidiya [134]

Answer:

(5√2-1)^2= (5x1)^2=25

Step-by-step explanation:

I believe 25 is the correct answer because you simplify the parentheses first, then we raise to the second power so 5 times sqrt 1 is 5. Then 5 x 5 is 25.

Comment below if this helps, Thanks!

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3 years ago

Read 2 more answers

Factorise:

Nata [24]

Answer:

(2x - a - 2)(5x - a + 5)

Step-by-step explanation:

10x² - 7ax + (a + 2) (a - 5) =
10x² - 7ax + a² - 3a - 10

Factorize by finding the roots

Find the discriminant:

D = b² - 4ac
D = (-7a)² - 4*10*(a² - 3a - 10) =
49a² - 40a² + 120a + 400 =
9a² + 120a + 400 =
(3a + 20)²

Find the roots:

x = (- b ± √D)/2a = (7a ± (3a + 20)) / 20

x₁ = (7a + 3a + 20) / 20 = (10a + 20) / 20 = (a + 2) / 2
x₂ = (7a - 3a - 20) / 20 = (4a - 20) / 20 = (a - 5) / 5

Factorize the expression:

10x² - 7ax + a² - 3a - 10 =
10 (x - x₁)(x - x₂) =
10[x - (a + 2)/2][[x - (a - 5)/5] =
(2x - a - 2)(5x - a + 5)

====================================================

You would also try a shorter but more difficult way:

10x² - 7ax + (a + 2) (a - 5) =
2x*5x - 2ax + 10x - 5ax - 10x + (a + 2) (a - 5) =
2x*5x - 2x(a - 5) - 5x(a + 2) + (a + 2) (a - 5) =
2x(5x - (a - 5)) - (a + 2)(5x - (a - 5)) =
(5x - a + 5)(2x - a - 2)

8 0

2 years ago

Read 2 more answers

Roderick has an Internet service that charges by the hour. This piecewise function shows the cost of the Internet service based

puteri [66]

Answer:

18.75 is the answer

Step-by-step explanation:

since the internet usage is more than 4 hrs, the second equation will be used. that is

cost = (10 + 2.50 (x - 4)) where x is the usage hours.

thus

$cost = 10 + (2.5 \times (7.5 - 4)) \\ = 10 + (2.5 \times 3.5) \\ = 10 + 8.75 \\ = 18.75$

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3 years ago

What is 0.25 to the nearest whole number

Alex73 [517]

Answer:

Step-by-step explanation: 0.25 rounded is 0

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3 years ago