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2 years ago

Arithmetic sequence a1=8 d=9

Mathematics

1 answer:

Ugo [173]2 years ago

5 0

Answer:

$\ \ \ \ \ \ a_n=8+9(n-1)\\\implies a_n=8+9n-9\\\implies a_n=9n-1$

Step-by-step explanation:

arithmetic sequence equation:

$a_n=a+(n-1)d$

where a is the first term and d is the common difference

Therefore,

$\ \ \ \ \ \ a_n=8+9(n-1)\\\implies a_n=8+9n-9\\\implies a_n=9n-1$

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Factor completely: X^3-5x^2-9x+45

lesantik [10]

Answer:

x^2(3x-5)-9(x_5)

I think that is the answer and hope you will benefit from it

4 0

3 years ago

Read 2 more answers

Write the equation in slope intercept form. what are the slope and y intercept?

VMariaS [17]

Option C

<u> Answer: </u>

The equation in slope intercept form is $-\frac{5}{12} x-\frac{11}{12}$

The slope is $-\frac{5}{12}$ and y-intercept is $-\frac{11}{12}$

<u>Solution: </u>

The slope - intercept form equation of line is given as

y = mx + c ---- eqn(1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

c is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that -5x - 12y = 11 --- eqn (2)

On converting equation (2) in slope – intercept form, that is adding 5x on both sides,

-5x - 12y + 5x = 5x + 11

-12y = 5x + 11

Now on dividing -12 on both sides,

$y=-\frac{5}{12} x-\frac{11}{12}$ ---- eqn (3)

Comparing the given equation (3) with equation (1), we get

$m = -\frac{5}{12}$ and $c = -\frac{11}{12}$

Hence Option C is correct.

5 0

4 years ago

find the equation of a line through the coordinate (3,6) and parallel to the line represented by y=5/3 x-1

maw [93]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

For lines to be parallel, their slopes have to be the SAME.

The given line's slope is 5/3, so the parallel line's slope is also 5/3

y = 5/3x + b

To find "b", plug in the point (3,6) into the equation

y = 5/3x + b

6 = 5/3(3) + b

6 = 5 + b

1 = b

y = 5/3x + 1

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3 years ago

Whats the answer will give brainliest solve for x

Mkey [24]

X = arctan(32/19)

x = 59.30 degrees.

You don't say if the answer needs to be rounded, so round it as needed.

3 0

3 years ago

To find the sum of 4 and -5.

Katen [24]

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

5 0

4 years ago