Write an explicit formula for an, the nth term of the sequence 27, 21, 15, ….

Mathematics

1 answer:

liq [111]2 years ago

8 0

Answer:

nth=a+(n+1)d

Step-by-step explanation:

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Blababa [14]

Answer:

y = - $\frac{2}{3}$ x + 7

Step-by-step explanation:

Ambos puntos (3, 5) y (6, 3) están en esta línea.

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2 years ago

How to find the rule for the nth term of a geometric sequence with changing common ratio?

ki77a [65]

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3 years ago

What is the slope of a line perpendicular to the line whose equation is 2x+2y=28

malfutka [58]

Answer:

Step-by-step explanation:

1) First, place the given equation in slope-intercept form ( $y = mx +b$ format) to find its slope easier. Isolate the y:

$2x + 2y = 28\\2y = -2x + 28\\y = -x+14$

So, the equation of the line in slope-intercept form is $y = -x + 14$ . When an equation is in slope-intercept form, the $m$ , or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.

2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.

To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as $-\frac{1}{1}$ -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.