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Sever21 [200]
2 years ago
14

A line, Z, has equation y = 5x + 3. Write down an equation of a line parallel to line Z.

Mathematics
2 answers:
leva [86]2 years ago
7 0

\huge\underline\color{purple}{Answer \: ☘}

y = 5x

Step-by-step explanation:

as \: the \: line \: is \: parallel \: to \: line \: z \\ hence , \\ set \:  the \: equation \: of \: the \:  line \: as \\ y = kx + b \\   \\given... \\ y = 5x + 3 \\ comparing \: the \: equations \: we \: get \:  \\ k = 5 \\  \\ hence \: the \: equation \: can \: be \: y = 5x

hope helpful~

nikdorinn [45]2 years ago
7 0

\huge\boxed{\boxed{Hello\;there!}}

Parallel lines have the same slope.

Since the given line has a slope of 5, the slope of the line parallel to the given line is 5 as well.

Now, there are lots of equations with a slope of 5.

y=5x-3

y=5x+2

And so on...

\huge\boxed{\sf{Hope\;it\;helps!\;Good\;luck!}}

\rm{StillEnjoyingLife :)

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For what value of x is sin x = cos 19º, where 0°< x < 90°?
KonstantinChe [14]

Answer:

  71°

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement:

  cos(19°) = sin(90° -19°) = sin(71°)

Comparing to the given expression, we see that x = 71°.

7 0
3 years ago
Choose the best statement that explains the graph represented by these ordered pairs.
Vlad [161]

Answer:

I wish you the best of luck you are strong and loved you are very smart happy holidays love you may god bless you

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate
DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

   compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ 3000=2000(1+\frac{0.04}{12})^{12t}

- Divide both sides by 2000

∴ 1.5=(1+\frac{1}{300})^{12t}

∴ 1.5=(1\frac{1}{300})^{12t}

- Change the mixed number to an improper fraction

∴ (1.5)=(\frac{301}{300})^{12t}

- Insert ㏒ for both sides

∴ log(1.5)=log(\frac{301}{300})^{12t}

- Remember log(a)^{n}=nlog(a)

∴ log(1.5)=(12t)log(\frac{301}{300})

- Divide both sides by log(\frac{301}{300})

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0
3 years ago
Solve the polygon for x
wariber [46]
  • Octagon has sum of angles 1080°

\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080

\\ \rm\Rrightarrow 50x+75+28x+6x-3=1080

\\ \rm\Rrightarrow 84x+72=1080

\\ \rm\Rrightarrow 84x=1008

\\ \rm\Rrightarrow x=1008/84

\\ \rm\Rrightarrow x= 12

4 0
2 years ago
Tim's company offers a reimbursement package of $0.65 per mile plus $145
zalisa [80]

Answer:

C = 0.65x + 145

Step-by-step explanation:

Assume:

Number of miles = x

Annual maintenance = $145

Total reimbursement = C = $0.65*x + $145 = $0.65x + $145

4 0
3 years ago
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