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Over [174]
3 years ago
9

Evaluate the limit. 8n^+5n+2/3+2n

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer: 16n + 7

Step-by-step explanation:

The limit of the expression can be achieved by differentiating the expression.

8n^2+5n+2/3+2n

Collect the likes term and rearrange

8n^2+7n+2/3

Differentiating with respect to n

(2×8)n^2-1 + 7n^(1-1)

16n + 7

2/3 automatically equal to zero since it has no variable n

Therefore, the limit of the expression is 16n + 7

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Constructing Parallel Lines
Orlov [11]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,

Slope = (-2 + 3) / (-4 + 3) = 1/-1 = -1

The equation of the parallel line that is passing through point P is,

y = mx + c

y = -x + c

-3 = -(-3) + c

-3 -3 = c

c = -6

Hence, the slope of the lines is -1, and the equation of the parallel line is y-x-6.

Learn more about Equation of Line:

brainly.com/question/21511618

#SPJ1

6 0
2 years ago
8. Find the area of the following triangle.<br> h=8m<br> b= 6.5
torisob [31]

Answer:

26m^2

Step-by-step explanation:

Area of triangle=1/2b*h

We have,

b=6.5

h=8m

Now,

Area=1/2b*h=1/2*6.5*8=26m^2

7 0
3 years ago
Read 2 more answers
Question 7: Find the value of x. The numbers below are in degrees.<br> 140<br> S<br> 50<br> 20
Lyrx [107]

Given:

A figure.

To find:

The value of x.

Solution:

Draw two parallel lines as shown in the below figure.

If a transversal line intersect two parallel lines, then alternate interior angles are same.

a=20              (Alternate interior angle)

d=b              (Alternate interior angle)           ...(i)

The value of angle d is

d=50-a

d=50-20

d=30

Using (i), we get

b=30

If a transversal line intersect two parallel lines, then same sides interior angles are supplementary angles.

c+140=180

c=180-140

c=40

Now,

x=b+c

x=30+40

x=70

Therefore, the value of x is 70.

8 0
2 years ago
12 cm<br> 6 cm<br> 5 cm<br> Find the volume of the figure?
vladimir2022 [97]

Answer:

12cm•6cm=72cm

72cm•5cm =

Step-by-step explanation:

360cm

5 0
3 years ago
Read 2 more answers
What is 33 as a fraction over 100 simplified?
masya89 [10]
33/100 is already simplified.
8 0
2 years ago
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