Write an equation of the line satisfying the given conditions. Through (1,−5); parallel to 5x=6y+7

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

Answer:

y = 5/6 x - 35/6

Step-by-step explanation:

first convert equation to y = mx + b to get the slope

5x -7 = 6y

5/6 x - 7/6 = y

5/6 is the slope

because the line is parallel, the slope is 5/6

use the point given and simplify

y + 5 = 5/6 (x - 1)

y + 5 = 5/6x - 5/6

y = 5/6x - 5/6 - 30/6

y = 5/6x - 35/6

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What is the solution to the inequality |2n+5|>1?

Yuliya22 [10]

ANSWER

$n < - 3 \: or \: n> - 2$

EXPLANATION

The given inequality is,

$|2n + 5| \: > \: 1$

By the definition of absolute value,

$- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1$

We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

$2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 1$

We simplify now to get,

$2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 5$

$2n \: < \: - 6 \: or \: 2n \: > \: - 4$

Divide through by 2 to obtain,

$n \: < \: - 3 \: or \: n \: > \: - 2$

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