The area of the quadrilateral is:
(a) 10 cm²
(b) 5 cm²
(c) 20 cm²
(d) 15 cm²

Given:

12% decrease followed by a 18% increase.

To find:

The single percentage change is equivalent to the given set of percentages.

Solution:

Let the initial value be 100.

After 12% decrease, the value is:

[tex]v_1=100-\dfrac{12}{100}\times 100[/tex]

[tex]v_1=100-12[/tex]

[tex]v_1=88[/tex]

After 18% increase, the value is:

[tex]v_2=88+\dfrac{18}{100}\times 88[/tex]

[tex]v_2=88+15.84[/tex]

[tex]v_2=103.84[/tex]

The initial value  is 100 and the new value in 103.84. So, it represents  increase in the value. So, increase percentage is

[tex]Increase\%=\dfrac{\text{New -Initial}}{\text{Initial}}\times 100[/tex]

[tex]Increase\%=\dfrac{103.84-100}{100}\times 100[/tex]

[tex]Increase\%=3.84[/tex]

Therefore, the value increased by 3.84%.

Answer:

click the points (0,4) and (1,5)

Step-by-step explanation:

y = x+4

if x  =  0 then

y = 0+4

so y = 4

0 , 4

then if x = 1

y = 1+ 4

so y = 5

1 , 5

Answer:

a) The polynomial is equivalent to [tex]A = (x-15)^{2}[/tex], and the side length of the playground is [tex]x -15[/tex] feet.

b) The perimeter of the playground, measured in feet, is [tex]p = 4\cdot (x-15)[/tex].

Step-by-step explanation:

a) By Geometry, we know that area of the square is equal to the square of the side length. If [tex]A = x^{2}-30\cdot x +225[/tex] is the area of the square, then must be a perfect square trinomial, that is:

[tex](x-a)^{2} = x^{2}-2\cdot a\cdot x + a^{2}[/tex] (1)

Then, we must observe the following properties:

[tex]-2\cdot a = -30[/tex] (2)

[tex]a = 15[/tex]

[tex]a^{2} = 225[/tex] (3)

[tex]a = 15[/tex]

Therefore, the polynomial is equivalent to [tex]A = (x-15)^{2}[/tex], and the side length of the playground is [tex]x -15[/tex] feet.

b) The perimeter of a square equals four times the side length. That is:

[tex]p = 4\cdot (x-15)[/tex]

The perimeter of the playground, measured in feet, is [tex]p = 4\cdot (x-15)[/tex].

The polynomial that represents the side length is x - 15, and the perimeter of the playground is 4x - 60

The expression of the area is given as:

[tex]A = x^2 - 30x + 225[/tex]

Expand the expression

[tex]A = x^2 - 15x - 15x + 225\\[/tex]

Factorize

[tex]A= (x - 15)^2[/tex]

The area of a square is:

[tex]A = l^2[/tex]

Where l represents the side length.

So, we have:

[tex]l = x - 15[/tex]

The perimeter is then calculated as:

[tex]P = 4l = 4*( x - 15)[/tex]

[tex]P = 4x - 60[/tex]

Hence, the perimeter of the playground is 4x - 60

Read more about polynomials at:

https://brainly.com/question/4142886

Answer:

x --> -19 = 38

Answer:

44

Step-by-step explanation:

The question is entering from the positive direction, thus 44 and not 38.

Answer:

A D E

Step-by-step explanation:

i did the test

Answer:

l = Square root of 10

Answer:

34/40

Step-by-step explanation:

85/100 cross multiply x/40

100x/100=3400/100

x=3400/100

3400/100=34

x=34

Picture included

(Sorry about my handwriting)

Hope this helps!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Answer:

Step-by-step explanation:

As we see this is a horizontal reflection.

The reflection line is equidistant from the corresponding vertexes and is the vertical line.

We can find the line by finding the midpoints of AA', BB' or CC'

The line of reflection is x = 1

Answer:

9

Step-by-step explanation:

Answer:

9 Is the answer

Step-by-step explanation:

Can i have brainliest??? thx

Answer:

(z+3)^3=2i

x^3−8=0

(z+6)^2=2i+4

Step-by-step explanation:

hope this is what u are looking for

Answer:

Look below.

Step-by-step explanation:

FYI: Im a bit confused on what this question is asking but I am responding based on what I believe the question is asking.

The point 100 spaces to the left of -1 would be (-101,0) and the point 100 spaces to the left of -1 would be (100,0).

The point(s) 100 spaces to the left of -1 would be (- infinity, -1) and the point(s) 100 spaces to the right would be (-1, infinity).

Answer:

y=-1x-6

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-1(x-(-1)

y+5=-1(x+1)

y+5=-1x-1

y=-1x-5-1

y=-1x-6

Answer:

$30 initially

$1.20 per song

Step-by-step explanation:

27.6 - 26.4 = 1.2

Add $2.40 to $27.60 to find balance before purchasing the initial 2 songs: $30

Answer:

I cant see the photo it won't load

Step-by-step explanation:

Answer:

300 - (20/100)=$240 sale price of the suit after 20% discount.

Step-by-step explanation:

300 - (20/100)* 300  =

300 - (1/5) * 300  =

300 - 60   =

$240

Answer:

Screen shot the question and attach it and i will do it cus you making no sense

Step-by-step explanation:

Answer:

$3.12

Step-by-step explanation:

31.20 divided by 10 = 3.12

Answer:

-7, 7

Step-by-step explanation:

Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8)

Answer:

32,41,51,62,74,87,101

Answer:

5 is d

6 is a

Step-by-step explanation:

Hello what grade is this for?

Answer:

(-1, -6)

Step-by-step explanation:

f(x -5) is another way to say f(x) - 5

And f(x) - 5 is going down the y axis 5 points, so you end at (-1, -6)

Answer: 20°

Step-by-step explanation:

Set up your work like this and solve.

3x+50=6x-10

60=3x

20°=x

Answer: y= 90

Step-by-step explanation: 5.4(10)+36 = y  

54+36= 90

Answer:

y = 90

Step-by-step explanation:

Use substiution.

Y= 5.4(10) + 36

y=54+36

y=90

Answer:

The answer is 3

Step-by-step explanation:

3×3×3=27

Answer:

the answer is 100% 3

Step-by-step explanation:

The slope is 3/1 because when it rotates the slope will not change

Answer:

-1/3

Step-by-step explanation:

when rotating 90 degrees,

(x,y) -> (y, -x)

-1-0/ 3-0

634.4   so the standard form is 600  + 30  + 4  + 0.4

Answer:

634.4 or 6.344*10^2

Step-by-step explanation:

When you're being asked to write an expression in standard form, the question probably wants you to simplify the expression or write it in scientific notation

Usually, in lower levels, you would simplify the expression, in which case you would multiply 6.1 by 104 using either a calculator (if you're allowed) or on paper to get 634.4

If you think your teacher wants you to use scientific notation, you would want to write your expression as a number under 10 multiplied by a power of 10. For example, if you were looking to write 6*8 in scientific notation/standard form, you would simplify for a product of 48, and turn that into 4.8*10. In your problem, you can multiply 6.1*104, and write your product of 634.4 as 6.344*10^2

please tell me if there are any mistakes in my answer, if i wrote anything poorly, or if anything is hard to understand, i hope this helps!!