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Doss [256]
3 years ago
7

The area, A, of a square with a side of length x is given by A = x^2? Use this relationship to verify that doubling the length o

f the side of a square floor increases the area of
the floor by a factor of 2^2
Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

Hi

Step-by-step explanation:

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PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
Serjik [45]

The limit is x---->4-

The negative show that x approaches from the left

Now

As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.

Let's pick a Number

Say 3.99

Substitute this... You have

3.99/3.99-4

3.99/-0.01

If we choose x to be 3.999

we will have

3.999/-0.001

Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY

Why?

As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result

In our case... The denominator is negative... So it Will Approach a very Huge Negative Number

Hence

Answer.. X WILL APPROACH NEGATIVE INFINITY.

Vertical asymptotes are the zeroes of the denominator of a function

The denom. is x-4

Equate to zero to get the asymptote

x-4=0

x=4

Hence... There will be a vertical asymptote at x=4.

Have a great day!

7 0
3 years ago
The product of two positive integers plus their sum is 95. The integers are relatively prime, and each is less than 20. What is
creativ13 [48]
Let the fist integer be x, the second is x+20
the product of the numbers is:
x(x+20)
the sum of the numbers is:
x+x+20=2x+20
the sum of the above operations will give us:
2x+20+x^2+20x=95
x^2+22x+20=95
this can be written as quadratic to be:
x^2+22x-75=0
solving the above we get:
x=3 and x=-25
but since the integers should be positive, then x=3
the second number is x+20=3+20=23
hence the numbers are:
3 and 23
3 0
4 years ago
HELP PLEASE SO FAST<br><br> I need thiss
dimulka [17.4K]

The midpoint would be (-2, -1)

8 0
4 years ago
Read 2 more answers
a rectangular garden is fenced on alls ides with 256 feet fencing. the garden is 8 feet longer than it is wide
pickupchik [31]

The length and width of the rectangular garden is estimated as-

  • Length = 68 ft
  • width= 60 ft
<h3>How to calculate perimeter of the rectangle?</h3>

A rectangle's perimeter is the total length and distance of its border across all sides. The perimeter of a rectangular box is a linear measurement that is expressed in meters, feet, cm, or yards. Let us first examine the two primary characteristics of a rectangle.

  • A rectangle's four angles are all 90°.
  • A rectangle's opposite sides are of equal length.

The perimeter of the rectangle is given as-

Perimeter = 2(length + width)

perimeter= 256

Let the width of the rectangle be x.

Length is 8 feet longer than width, Thus,

length = x+8

Substitute the values in the formula of perimeter;

256 = 2( x+ 8+ x)

256 = 2( 2x + 8)

128= 2x + 8

120= 2x

x=60

Thus, width = 60 ft.

Length = 60 + 8 = 68 ft.

Therefore, the length and width of the rectangular garden is estimated.

To know more about the area of the rectangle, here

brainly.com/question/2607596

#SPJ4

The complete question is -

A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8feet longer than it is wide. Find the length and width of the garden.

6 0
2 years ago
Whats the answer tell me please
ANEK [815]
For y=3x+4, you would put 4 on the y-intercept and from that point you go up 3 and right 1 and then plot the second point.

For y=-x-4, you would put -4 on the y-intercept and from that point go down 1 and right 1 and then plot the second point.
6 0
3 years ago
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