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Aleonysh [2.5K]
3 years ago
15

Given this expression:

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

the coefficient of x^2 is 16

Step-by-step explanation:

is the number in front of the variable and exponent

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thelma wants to find the equation of a line that passes through the point (2,2) and is perpendicular to the line y=1/2x+5
d1i1m1o1n [39]
<span>perpendicular  slope :

m1 * m2 = -1

1/2 * m2 = -1

m2 = -2

y = -2x + b
 

2 = -4  +b

b = 6 

y = -2x + 6 



</span>
8 0
3 years ago
Let U = {3, 6, 9, 12, 15, 18, 21, 24} and A = {9, 12, 15, 21}. A'
miskamm [114]

Answer:

A¹ = { 3 , 6, 18 , 24}

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u>Universal set </u>

If all the sets under consideration are the subsets of a fixed set 'U' then the set 'U' is called the Universal set.

Given  U = {3, 6, 9, 12, 15, 18, 21, 24}

Given A = {9, 12, 15, 21}

<u><em>Compliment Of A</em></u>

The Complement of a set A is all the objects that do not belong to set A

The Compliment of A is denoted by A¹

A¹ = U - A

     = {3, 6, 9, 12, 15, 18, 21, 24} - {9, 12, 15, 21}

A¹ = { 3 , 6, 18 , 24}

4 0
3 years ago
If a polygon is translated 3 units down and 4 units left what will the coordinates be?
sdas [7]

Answer:

The answer is (-3, -4).

3 0
3 years ago
What is the solution to the equation 2n - 3 = 7
Svetlanka [38]

Answer:

Step-by-step explanation:

2n-3=7

2n=4

n=4/2

4/2=2

N=2

Hope this helps!

4 0
3 years ago
A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material t
sergeinik [125]

The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft

<h3>How to maximize area?</h3>

Let the length of the rectangular area be x feet

Let the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 320 square feet

y = 320/x  -----(1)

Cost to fence the three sides = $6 per foot

Therefore cost to fence one length and two width of the rectangular area

= 6(x + 2y)

Similarly cost to fence the fourth side = $13 per foot

So, the cost of the remaining length = 13x

Total cost to fence = 6(x + 2y) + 13x

Cost (C) = 6(x + 2y) + 13x

C = 6x + 12y + 13x

C  = 19x + 12y

From equation (1),

C = 19x + 12(320/x)

C' = 19 - 3840/x²

At C' = 0, we have;

19 - 3840/x² = 0

19 = 3840/x²

19x² = 3840

x² = 3840/19

x = √(3840/19)

x = 14.22 ft

y = 320/14.22

y = 22.5 ft

Read more about Maximization of Area at; brainly.com/question/13869651

#SPJ1

8 0
1 year ago
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