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Svetradugi [14.3K]
3 years ago
12

Find the 19th term of the arithmetic sequence whose common difference is =d5 and whose first term is =a12.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
An=a1+d(n-1)
a1=first term
d=common difference
n=which term

common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41

19th term is 41
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what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe
djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = \dfrac{ - 1}{m}

Or, M = \dfrac{ - 1}{1}

∴  M = - 1

<u>Now, Equation of other line in point-slope form</u>

The other line is passing through point (2 , 2) and slope M = - 1

So, y - y_1 = M × (x - x_1)

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is  y = - x + 4   . Answer

5 0
3 years ago
Find the solution by graphing the equations pls help
lilavasa [31]

Answer:

graph these
y = 2x + 2
y = 2x - 3

Step-by-step explanation:

2x - y = -2
2x - y = 3

convert to y intercept form
first
2x - y = -2
-y = -2x - 2
y = 2x + 2
second
2x - y = 3
-y = -2x + 3
y = 2x - 3

you are left with
y = 2x + 2
y = 2x - 3
i cannot graph these for you, but i assume you know how, there is no solution because the lines are parallel

4 0
2 years ago
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vodomira [7]

Answer and explanation:

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b. The random variable is discrete. You can count how many people are sitting at a computer.

c. The random variable is continuous. Weight is a measurement.

d. The random variable is discrete. You can count how many fishes were caught.

e. The random variable is discrete. You can count how many hints a web site had.

7 0
3 years ago
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Westkost [7]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

It's C

Step-by-step explanation:

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