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Andre45 [30]
3 years ago
7

F(1) = 55, f(n)=f(n - 1) +8; 95 The term 95 is the _th term Need help quickly

Mathematics
1 answer:
Viefleur [7K]3 years ago
5 0

Answer:

6th term

Step-by-step explanation:

95=55+8n-8

95-55=8n-8

40+8=8n

48/8=8n/8

6=n

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3 years ago
Amie has 9 cats. each cat eats 1/3 can of food each day. how many cans of food are used each day?
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Find the equation of a line, in slope-intercept fotm of a line that passes through the point (9,2) and is perpendicular to the l
cricket20 [7]

Considering the definition of perpendicular line, the equation of of perpendicular line is y= -\frac{1}{2}x + \frac{13}{2}.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b.

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 2x-y=8. Expressed in the form y = mx + b, you get:

-y=8 - 2x

y= (-2x +8)÷ (-1)

y= 2x -8

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 2. So:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (2)

<u><em>slope perpendicular line= -</em></u>\frac{1}{2}

So, the perpendicular line has a form of: y= -\frac{1}{2}x + b

The line passes through the point (9, 2). Replacing in the expression for perpendicular line:

2= (-\frac{1}{2})× 9 + b

2=  -\frac{9}{2} + b

2+ \frac{9}{2}= b

<u><em /></u>\frac{13}{2}<u><em>= b</em></u>

Finally, the equation of of perpendicular line is y= -\frac{1}{2}x + \frac{13}{2}.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

6 0
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