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3 years ago

When no net force is applied to a moving object, it still comes to rest because of its inertia.

Mathematics

2 answers:

mafiozo [28]3 years ago

3 0

Answer:

A true

Step-by-step explanation:

Cloud [144]3 years ago

3 0

Answer:

False.

Step-by-step explanation:

If an object is in motion it will not stop because of inertia, but rather friction and gravity acting upon the object.

Hence Newton's first law (short version) An object in motion will stay in motion until acted on by an outside force. (I.E friction, gravity.)

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Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )

irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0

3 years ago

What is the slope of the line that passes through the points (3, 1) and (8, 3)?

Kipish [7]

The answer is in the file below

6 0

3 years ago

Read 2 more answers

What is the product? (-2x-9y^2)(-4x-3)

telo118 [61]

Answer:-8x^2-6x+36xy^2+27y^2

Step-by-step explanation:

using the FOIL method

6 0

3 years ago

Read 2 more answers

Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amoun

nikdorinn [45]

Answer:

x+0.05x=3.15 which has one solution

Step-by-step explanation:

Complete question below:

Joshua sells a pack of pens for 3.15 which is 5 percent more than he pays for them. which equation will help find x, the amount he pays for a pack of pens? how many solutions will this equation have? x+0.05x=3.15, which has infinitely many solutions x+0.5x=3.15, which has one solution x+0.05×=3.15 which has one solution 0.05×=3.15, which has no solution

Let

x= the amount Joshua pays for a pack of pen

5% of x more than he paid for them

=0.05x more

Buying price=0.05x + x

Selling price=3.15

Equate buying and selling price

0.05x + x = 3.15

1.05x=3.15

Divide both sides by 1.05

1.05x / 1.05 = 3.15/1.05

x=3

The equation is 0.05x+x=3.15

The answer is:

x+0.05x=3.15 which has one solution

3 0

3 years ago

Determine whether the series is convergent or divergent.

elixir [45]

Answer:

Step-by-step explanation:

Test for convergence or divergence of a series using Comparison test

Function.

Σ Sin(1/n). From n= 1 to n=∞

Comparison test states that

Let, 0 ≤ an ≤ bn

For all n

Then, if

Σbn converges then, Σan converge

Σan diverges then, Σbn diverge

I.e if the small series diverges, then, the big series diverges and if the big series converges then, the small series converges.

Let compare the given function to 1/n

1/n is greater than Sin(1/n)

0 ≤ Sin(1/n) ≤ 1/n

1/n is a positive number and it is always greater than 1.

We know that 1/n diverse from p series

P series says that,

Σ 1/n^p

If p≤1 then the series diverges

If p>1 the series converges

So when we compare this to 1/n, then p is equal to 1, therefore, the series diverges.

Now, comparing this to the comparison thereom

Since, the large series bn diverges, then the smaller series an diverges.

Then,

Σ 1 / n diverges implies that.

Σ Sin(1/n) diverges too

5 0

3 years ago