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3 years ago

Given a line segment with endpoints A(16, 8) and B(1, 3) what are the coordinates of the

Mathematics

1 answer:

blondinia [14]3 years ago

4 0

Answer:

The line segment partitioned two-fifths from A to B is (10,6)

Step-by-step explanation:

First point from A to B is (16,8)

than find the difference between A to B i.e B - A

(1,3)-(16,8) = (-15,-5)

To measure the (2/5) difference we will multiply (-15,-5) with (2/5) which is equal to (-6,-2)

Now Add the difference to the first coordinate (point A) gives

Point of division = (16,8)+(-6,-2)

Point of division = (16-6, 8-2)

Point of division = (10,6)

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What is the difference x/x^2-16-3/x-4

kenny6666 [7]

General Idea:

When simplifying a rational expression, we need to do the below steps:

(i) Factor the Denominator of each fraction

(ii) Identify the Least Common Denominator (It is the product of prime factors involved with its highest exponent)

(iii) Identify and rewrite the equivalent fraction with the desired LCD.

(iv) Once the denominator are same, Combine the numerator.

Applying the concept:

What is the difference x/x^2-16-3/x-4

I assume that you mean to type the expression $\frac{x}{x^{2}-16} -\frac{3}{x-4}$

Step 1: Factoring $x^{2} -16$

$x^{2} -16=x^{2} -4^{2} =(x+4)(x-4)$

Step 2: Identifying the LCD, we get $(x+4)(x-4)$

Step 3: Rewriting the second fraction by multiplying x+4 on both top and bottom of second fraction so that we get the LCD.

$\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{x}{(x+4)(x-4)} -\frac{3*(x+4)}{(x-4)*(x+4)} Step 4: Combine like terms since the denominators are same[tex] \frac{x-3(x+4)}{(x+4)(x-4)} =\frac{x-3x-12}{(x+4)(x-4)}=\frac{-2x-12}{(x+4)(x-4)} =\frac{-2(x+6)}{(x+4)(x-4)}$

Conclusion:

In factored form the simplified expression $=\frac{-2(x+6)}{(x+4)(x-4)}$

In expanded form the simplified expression $=\frac{-2x-12}{x^2-16}$

8 0

2 years ago

A standard working day is 8 hours, if you were to work 125% of a normal day, how many total hours would you work?

Elodia [21]

Answer:

10 hours

Step-by-step explanation:

It is given that,

Standard working day is 8 hours

If you were to work 125% of a normal day, then it means that,

$125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}$

Hence, you will work for 10 hours.

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3 years ago

Write the equation of the line that is parallel to the line y= 3x+ 6 and passes through the point (4, 7).

Olenka [21]

Answer:

Is this slope?

Step-by-step explanation:

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2 years ago

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While eating ants, a giant anteater flicks its tongue 150 times per minute. At

lisabon 2012 [21]

Answer:

In six minutes, the giant anteater would have flicked its tongue 900 times.

Step-by-step explanation:

Knowing the rate at which the anteater flicks its tongue per minute, you just have to multiply the rate by six.

150×6=900

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2 years ago

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The first three steps of completing the square to solve the quadratic equation x^2+4x-6=0 are shown below.

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x+2 = plus or minus sqrt(10)

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3 years ago