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Vaselesa [24]
4 years ago
8

What is the simplified form of 1/x-1/y/1/x+1/y

Mathematics
1 answer:
Svetradugi [14.3K]4 years ago
8 0
Is this the expression to simplify?

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16. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
il63 [147K]

Answer:

Given equation are:

y = -\frac{1}{4}x+8                  ......[1]

-2x+8y = 4                             .....[2]

  • The two lines are parallel lines then their slopes will be equal.
  • When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.

Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.

Slope(m_1) of equation of line in [1] is;

y = -\frac{1}{4}x+8  

then;

m_1= -\frac{1}{4}

Slope(m_2) of equation of line in [2];

-2x+8y = 4

Add both sides 2x we get;

-2x + 8y + 2x = 2x + 4

Simplify:

8y = 2x +4

Divide both sides by 8 we get;

y = \frac{1}{4} x + \frac{1}{2}

then;

m_2 = \frac{1}{4}

Therefore, the given two lines are neither parallel nor perpendicular.

4 0
4 years ago
The sum of four times a number and 18 is the same as the difference of fourteen and twice a number
Citrus2011 [14]
4x+18=14-2x \\ 4x=-4-2x \\ 6x=-4 \\ x= \frac{2}{3}
4 0
3 years ago
Store A sells a watch for $50 and offers a 5% discount Store B sells the same watch for $60 and offers a 20% discount. From whic
erastova [34]

Answer:

<em>You should buy the watch from Store A because it's cheaper</em>

Step-by-step explanation:

Store A sells a watch for $50 with a 5% discount.

Let's calculate the sale price. The 5% discount is

5/100*$50 = $2.50

The sale price is $50 - $2.50 = $47.50

Now for Store B. The price of the watch was $60 with a 20% discount.

Calculate 20% of $60:

20/100*$60 = $12

The sale price is $60 - $12 = $48

Thus, you should buy the watch from Store A because it's cheaper

6 0
3 years ago
A seamstress uses 3/4 yards of material to make a uniform top for band members. If there are 6 3/4 yards of material left on the
dalvyx [7]

Answer:

She can make 9 uniform tops from the material left.

Step-by-step explanation:

Given:

Yards of material left on the bolt = 6\frac{3}{4}

Material requirement for a uniform top for band members = \frac{3}{4}\ yd

To find the number of tops that can be made from the material left.

Solution:

In order to find the number of tops that can be made from 6\frac{3}{4} yards of material, we need to divide 6\frac{3}{4}\ yd  by  \frac{3}{4}\ yd.

Number of uniform tops that can be made is given as:

⇒ 6\frac{3}{4}\div \frac{3}{4}

We first convert mixed number to fractions.

⇒  \frac{27}{4}\div \frac{3}{4}

To divide fractions the fractions are multiplied after flipping the divisor.

⇒ \frac{27}{4}\times \frac{4}{3}

⇒ \frac{27}{3}

⇒ 9

Thus, she can make 9 uniform tops from the material left.

4 0
3 years ago
Tiana would like to buy cone-shaped hats for her birthday party. She wants hats with the largest volume, since they look bigger.
Alexus [3.1K]

Probably the ones that are big..

7 0
3 years ago
Read 2 more answers
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