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1 year ago

A line has this equation: x + 10y = 60

Mathematics

1 answer:

Jet001 [13]1 year ago

6 0

Answer:

y=10x+99

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.

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-6/7,-3/7,0,3/7 .... create a formula that explains the arithmetic sequence

LenKa [72]

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term
d is the common difference between the consecutive terms

∵ $\frac{-6}{7}$ , $\frac{-3}{7}$ , 0 , $\frac{3}{7}$ are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = $\frac{-3}{7}$ - $\frac{-6}{7}$

∴ The difference between two consecutive terms = $\frac{-3}{7}$ + $\frac{6}{7}$ = $\frac{3}{7}$

∴ The common difference = $\frac{3}{7}$

∴ d = $\frac{3}{7}$

∵ The first term is $\frac{-6}{7}$

∴ a = $\frac{-6}{7}$

- Substitute a and d in the formula above

∴ $a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}$

- Simplify the right hand side

∴ $a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}$

- Add like terms

∴ $a_{n}=\frac{3}{7}n-\frac{9}{7}$

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0

2 years ago

Simplify this algebraic expression x-5/5+10<br>А. x+ 11<br>в. х- 9<br>c. х- з<br>d. x+9

bulgar [2K]

Answer:

$\displaystyle X+9$

Step-by-step explanation:

$\displaystyle\frac{b}{b}=1$

$\displaystyle\frac{5\div5}{5\div5}=\frac{1}{1}=1$

$\displaystyle x-1=10$

Add and subtract numbers from left to right.

$-1+10=9$

$\displaystyle x+9$ , which is our answer.

Hope this helps!

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3 years ago