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Nonamiya [84]
3 years ago
7

Determine which of the lines, if any, are parallel. Explain.

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Isolate the variable y

Line a: 3y = x+6

            y =  1/3x + 2

Line b: 3y = x+18

            y = 1/3 x + 6

Line c: 3y = 2x+9

            y = 2/3x +3

Explanation:

Lines a and b are parallel because they have the same slope of 1/3.

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In the right triangle shown, <B=60° and AB=18. How long is AC?​
Naily [24]

Answer:

18√3

Step-by-step explanation:

tan Ф = opposite/adjacent

tanФ = AB/AC

tan 60 = AC/AB

Tan 60 =√3 AB=18

√3=AC/18

AC=18√3

6 0
3 years ago
If a=4b^2 and b=-1/2e^2, what is the value of a to the nearest tenth?
Maru [420]
To answer, it is assumed that e here is the Euler number which is equal to 2.718. Substitute this value to the e of the second equation to get the value of b.
                                 b = 0.5(2.718^2)  = 3.6945
Then, we substitute this value to the first equation to get the value of a.
                                        a = 4(3.6945^2) = 54.498
Thus, the answer is approximately equal to 54.5. 
3 0
3 years ago
Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number
lapo4ka [179]

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

8 0
3 years ago
meghan went to the mall and then out to eat with her friends. at the restaurant, meghan spent 3 dollars more than 1/2 the amount
Lerok [7]
She spent $23.25, how I got my answer.

I divided $13.50÷2=$6.75 then I added $6.75+3=$9.75 then I added $9.75+$13.50=$23.25.

I hope this helps.
4 0
3 years ago
Identify the 35th term of an arithmetic sequence where a1 = −7 and a18 = 95.
borishaifa [10]
Th term of an arithmetic sequence:

We have to find the difference (d)

an=a₁+(n-1)d

Data:
a₁=-7
a₁₈=95

95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6

Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197

Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)

4 0
3 years ago
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