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ahrayia [7]
2 years ago
15

B is the midpoint of ac. bc = 3x - 1. ac = x + 3. find the value of ab

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
8 0

Answer:

ab=bc because b devide ac in two equal sizes

ac=ab+bc

ac=2×ab

ac =2×bc

lets substitute ac and bc there we are given

x+3=2(3x-1)

x+3=6x-2

-5x/-5=-5/-5

x=1

ab=3(1)-1

ab=2

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polet [3.4K]

Because ratios can be written as fractions
\frac{mulch}{2.25}=\frac{gravel}{1.33}

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4 0
3 years ago
Which of the following is an asymptote of y = sec(x)?
babunello [35]
Answer: option d. x = 3π/2

Solution:

function y = sec(x)

1) y = 1 / cos(x)

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3) cos(x) = 0 when x = π/2, 3π/2, 5π/2, 7π/2, ...

4) limit of sec(x) = lim of 1 / cos(x).

When x approaches π/2, 3π/2, 5π/2, 7π/2, ... the limit →+/- ∞.

So, x = π/2, x = 3π/2, x = 5π/2, ... are vertical asymptotes of sec(x).

Answer: 3π/2

The figures attached will help you to understand the graph and the existence of multiple asymptotes for y = sec(x).

8 0
3 years ago
Read 2 more answers
1.Hannah walked the same number of miles each day for 5 days. Let m represent the total number of miles Hannah walked. Write a l
mamaluj [8]

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

        =total number books brought by Jimmy+ total number of books brought by Peter                                                                          

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Then 30% discount = 0.3c

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And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

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8 0
3 years ago
Find the length BC
Nady [450]
Answer:

The length of BC = 12

Step-by-step explanation:

c^2 = a^2 + b^2

15^2 = 9^2 + b^2

225 = 81 + b^2

b^2 = 225 - 81

b^2 = 144

b = 12

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5 0
3 years ago
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ziro4ka [17]

Answer:

9.4339811320566

Step-by-step explanation:

6 0
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