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2 years ago

Find the slope of the line containing the points ( a , 1/a ) a n d ( b , 1/b )

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

5 0

Answer:

slope=(y2-y1)/(x2-x1)

=(1/b-1/a)/(b-a)

=((a-b)/ab)/(b-a)

=(a-b)/ab(b-a)

=(a-b)/(-(ab(a-b))

=-1/ab

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2 years ago

If 24, x, and 6 form the first three terms of an arithmetic sequence

AveGali [126]

<h3>Answer: 15</h3>

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

Work Shown:

d = common difference

p = first term = 24

q = second term = a+d = 24+d

r = third term = q+d = 24+d+d = 24+2d = 6

------------

Solve for d

24+2d = 6

2d = 6-24

2d = -18

d = -18/2

d = -9

We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.

------------

First term = 24

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Third term = 15-9 = 6

We get the sequence 24, 15, 6

7 0

2 years ago

AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show

dexar [7]

Answer:

$BC=15\ units$

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

$x+15=4x$

solve for x

$4x-x=15$

$3x=15$

$x=5\ units$

step 2

Find the length of AD

we have that

$AD=x+10$

substitute the value of x

$AD=5+10=15\ units$

step 3

Find the length of BC

Remember that

AD=BC ----> by opposite sides

therefore

$BC=15\ units$

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3 years ago