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3 years ago

What is the equation of the line in the slope-intercept form?

Mathematics

1 answer:

Neko [114]3 years ago

7 0

Answer:

y = [5/2]x + [5]

Step-by-step explanation:

y= mx+b

m=rise/run

m=5/2

b=y intercept

b=5

y = 5/2x + 5

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

4 years ago

The picture below shows a portion of a river dam:

NNADVOKAT [17]

Hello,

If you are starting with the angle of 40 degrees, you have an adjacent side and hypotenuse. Therefore, it is a cosine relationship.

We can write:

cos(40) = adj / hyp
cos(40) = x / 220

To solve for x, simply multiply 220 by the cos(40).
You can write it as: 220 cos(40)

Good luck,
MrEQ

8 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through the point (6,-2) and is perpendicular to the line 6x+y=2

Scilla [17]

Answer:

y=2x-14

Step-by-step explanation:

Gradient as m(for 1st line m1 and m2 for 2nd line)

m1/m2=-1

m1=(-1)*(-2)=2

y-(-2)/x-6=2

y+2/x-6=2

y+2=2x-12

y=2x-14

8 0

3 years ago

Solve for x.<br> 75°<br> 11x-2

DaniilM [7]

Answer:

x=7

Step-by-step explanation:

6 0

3 years ago

You have $270 in your bank account. You plan to save $80 from your paycheck each week. Which graph shows your bank account balan

elixir [45]

Y=80x+270
If you want to know how to do it just let me know

7 0

4 years ago

Read 2 more answers