The area of a square in square feet is repersented by
[tex] {z}^{2} + 12z + 36[/tex]

Find an expression for a side length of the square.

Find the perimeter of the square when z=12.​

Answers

Answer 1

1. Find an expression for a side length of the square.

For this case, the first thing to do is to know that the area of a square is:

A = L ^ 2

Where

L: side of the square.

We then have to factorize the given polynomial:

z ^ 2 + 12z + 36

(z + 6) * (z + 6)

Rewriting:

z ^ 2 + 12z + 36 = (z + 6) ^ 2

Answer:

The side of the square is:

L = (z + 6)

2. Find the perimeter when z = 12.

The perimeter of a square by definition is:

P = 4L

Where

L: side of the square.

Substituting we have:

P = 4 (z + 6)

For z = 12 we have:

P = 4 (12 + 6)

P = 72

Answer:

the perimeter when z = 12 is:

P = 72

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Related Questions

A ==(1,2,3,4)kumesinin elemanlarıyla en az iki basamagindaki rakami ayni olan üç basamaklı kaç sayi yazilabilir​

Answers

Answer:

tüm duruma (4×4×4 den 64)

(tum durum)-(tum rakamlari farklı olan üç basamaklı sayilar) =en az iki basamağı ayni olan üç basamaklı sayılar

(4×4×4)-(4×3×2)=40

Find the value of x.

x =

Enter the number that belongs in
the green box.

Answers

Answer:

x=67

Step-by-step explanation:

Sum of all angles is 180

36+77+x=180

113+x=180

x=180-113

x=67

PLZZZ MARK ME AS BRAINLIEST

If 91 is 10% of a number, what is that number? *

Answers

Answer:

910

Step-by-step explanation:

so to find 100% ( the number)

91 x 10

910 would be the number

Pretty sure it’s 9.1 hope this helped you

Leslie bought an
ice cream cone for $5. She had a 20% off coupon. What was the total cost
of her ice cream?

Answers

Answer:

$1.00

hopefuly this helped if not let me know!

The total cost would be $4

Is Figure B a scale copy of Figure A?

Answers

Answer:

yes

Step-by-step explanation:

Yes, each measurement of figure B is multiplied by 3.

Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.

Answers

so you would subtract the 2x from both sides so you’d get 3y=6-2x then you divide all the numbers by 3 to get Y by itself so you’ll get Y=2-2/3X then to graph the Y intercept is 2 so you place your first point at (0,2) then your next point you go down 2 then right 3 and keep doing that and placing points and that’s your line on the graph :)

help me with this, please!!!

Answers

Answer:

17 is already a simplest form so you can do a decemil form 0.17

Step-by-step explanation:

Answer:

10.68 miles

Step-by-step explanation:

17 mile radius = 34 mile diameter

34 mile diameter x 3.14 = circumference = 106.82 miles

Pi/5 radians = 36 degrees

36(106.82)/360 = 10.68 miles

20.8 = 4( z+1.1)
What is Z ?

Answers

Answer:

z = 4.1

Step-by-step explanation:

(4.1 + 1.1)

(5.2)

4(5.2) = 20.8

can you answer this because i do not know

Answers

Answer:

3679

Step-by-step explanation:

11,472-7,793=3679 miles left

Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3
years.
What is the smallest amount, to the nearest pound, she can invest?

Answers

Answer:

£6911 is the smallest amount Cynthia should invest to get £8000 after three years

Step-by-step explanation:

lets Assume that amount needs to invested for three years = £ x Rate of Interest = R = 5% per year Duration in years = n = 3 year

Amount expected after three years when compounded annually =  A = £8000 Formula for Amount of compound interest annually is a follows A = P( 1 + R/100)^n In our case Principal P = x , Amount A = 8000 , R = 5% and n = 3( since compounded annually). On substituting these values in above formula we get 8000 = x ( 1 + 5/100)^3 ⇒8000 = x ( 105/100)^3 ⇒8000 = x ( 21/20 )^3 ⇒(8000 × 20 × 20 × 20)/(21×21×21) = x ⇒x = 6910.70≈6911

Hence £6911 is the smallest amount Cynthia should invest to get £8000 after three years

Tania wanted to watch the movie Earwig and the witch. On HBO you have to subscribe for $14.99 to be able to watch it. She has a $5 off coupon. If she uses the cupon what percent of the initial amount will she end up paying?

Answers

Answer:

aprox 33%

Step-by-step explanation:

PLEASE HURRY AND HELP ME NOW ASAP

Answers

Answer:

jdjdjdbxjx byee-

Please help 2/4
Solve the binomial
4(3d-1)(3d+1)

Answers

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

Q3. Find x and y
12
X
30
60
y

Answers

Answer:

THX FOR POINTS

Step-by-step explanation:

Answer:

x = 4[tex]\sqrt{3}[/tex], y = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 12[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = 4[tex]\sqrt{3}[/tex]

------------------------------------------------------------

Using Pythagoras' identity in the right triangle

y² = x² + 12² = (4[tex]\sqrt{3}[/tex] )² + 144 = 48 + 144 = 192 ( take square root of both sides )

y = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]

What is the solution to this system of equations?

4x + 5y = 7

3x – 2y = –12



what is the solution

Answers

The solution is (-2,3)
See the image below to see the steps

Dfhhhftgggghguijhhjjjjjjj

Answers

Answer:

its first one

Step-by-step explanation:

Terra wants wall-to-wall carpeting in her bedroom, which measures 10’ x 12’6”. Carpeting is on sale for $24.99 per sq. yd. What is the cost? (Remember to round your dimensions before calculating the area)

Answers

Answer:

$347.08

Step-by-step explanation:

10' x 12'6" = 125 ft^2

one yd^2 = 9 ft^2

125/9 = 13.89 yd^2

13.89 x $24.99 = $347.08

a company has 15.5×108​

Answers

Answer:

1674

Step-by-step explanation:

Answer:

1674

Step-by-step explanation:

plss help it's urgentt​

Answers

Answer:

1. 25

Step-by-step explanation:

First, you need to place the numbers in ascending order, meaning from smallest to largest.

You calculate the range by taking the largest number and subtract the smallest from it, so in this case: 42-17 = 25

Mean (average), just add the numbers up and divide by how many numbers you have

III. Once you find the Mean and you placed them in order from smallest to largest, you can find this answer

Median (middle) - which number is in the middle so after you place them in order which is in the middle if you have an odd number of marks, but since you have 12 marks then take the 2 center numbers, add them up, and divide by 2, in other words, get the mean of the middle numbers and that will give you the median in this problem

Mode, which number appears the most times repeated

Answer:

i.  25 (range = the difference between the highest and lowest number)

ii. 30.41 (mean = sum of all numbers divided by the how many numbers there are)

iii. 6

iv. 35

v. 35

Which sets of ordered pairs represent functions from A to B? (Select all that apply.)

A = {0, 1, 2, 3} and B = {−2, −1, 0, 1, 2}

A. {(0, 2), (3, 0), (1, 1)}

B. {(0, 0), (1, 0), (2, 0), (3, 0)}

C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}

D. {(0, 1), (1, −2), (2, 0), (3, 2)}

Answers

10+10+19+26+16631+177372=x

Use the greatest common factor and the distributive property to write equivalent expressions in factored form.

13ab + 15ab =

Answers

Given:

The expression is

[tex]13ab+15ab[/tex]

To find:

The equivalent expressions in factored form.

Solution:

We have,

[tex]13ab+15ab[/tex]

In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.

Distributive property of multiplication over addition:

[tex]a(b+c)=ab+ac[/tex]

By using greatest common factor and the distributive property, we get

[tex]13ab+15ab=ab(13+15)[/tex]

[tex]13ab+15ab=ab(28)[/tex]

[tex]13ab+15ab=28ab[/tex]

Therefore, the required equivalent expression is [tex]28ab[/tex].

Y= -4+9
A.(3,-3)
B.(2,3)
C.(0,9)
D.(2,1)
E.(4,5)

Answers

Answer:

➪          

⚠︎ ☻︎

ℍ ꨄ︎

The answer is E (4,5)

-4 + 9= 5

therefore y must be 5 so it is E.

SOMEONE HELP QUICK PLS

The point (-5, 10) undergoes a translation of 10 units right and 5 units down.
What are the coordinates of the new point?
A. (-10, 15)
B. (0,0)
C. (5, 15)
D. (5,5)

Answers

Answer:

5,5

Step-by-step explanation:

That's the answer.

.

Answer:

A -10,15

Step-by-step explanation:

What is the area of this shape ​

Answers

Answer:

for the first time ever since I have been working on a project with the team at work and working on a new project which is a bit of an issue with my phone hhhhhhy is an idiot for the last minute or have been trying again and it is hard enough rather that we can I become more of an idiot and Predicate the way I am now a little worried that the definitions of this year will not hold up exercises for us is a very big part and I have attached my name for your class eda can be very difficult and difficult and I

How do i solve this (Tamgent Segment)​

Answers

Answer:

5

Step-by-step explanation:

Since DE is tangent to the circle, that means DE is perpendicular to EF

==> DF = sqrt(4^2+3^2) = 5

Graph the equation using the slope and y-intercept
y = 2x - 4

Answers

put a dot on your y-axis at -4 (the one going up and down), from there go up two, and over one. your second dog should be at (1,-2). connect your dots and that’s your graphed equation !
Use the slope-intercept form to find the slope and y-intercept.
Slope: 2

y-intercept: (0,−4)

Make sure to like and leave a brainliest!

Basil has five numbered cards.

Two of the numbers are hidden. 4 9 9 ? ? 8

The mode of the five numbers is 8.

The mean of the five numbers is 6

c) Work out the two hidden numbers.

Answers

Answer:

The two hidden numbers are 8 and 1.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is given by the sum of all its values divided by the number of values.

Mode of a data-set:

The mode of a data-set is the value that appears the most.

In this question:

4, 9, x, y, 8

Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:

4, 9, 8, y, 8

The mean of the five numbers is 6

This means that:

[tex]\frac{4+9+8+y+8}{5} = 6[/tex]

[tex]29+y = 30[/tex]

[tex]y = 30 - 29[/tex]

[tex]y = 1[/tex]

The two hidden numbers are 8 and 1.

Resuelve
14 - 15 – (-13) + 12 – (-11)

. 20 – 40 – (- 50) + 70 – 100

Answers

can u translate it into english

Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral

Answers

Answer:

Isosceles Triangle

Step-by-step explanation:

Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?

We solve this question using vertices formula:

√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)

For Side AB

A(-5, -1), B(5, -1)

AB = √(5 - (-5))² + (-1 -(-1))²

AB= √(5 + 5)² + (-1 + 1)²

AB = √10² + 0

AB = √100

AB = 10 units

For Side BC

B(5, -1), C(0, -4)

BC = √(0 - 5)² + (-4 -(-1))²

BC = √-5² + (-4 + 1)²

BC = √25 + -3²

BC = √25 + 9

BC = √34

For Side AC

A(-5, -1), C(0, -4).

AC = √(0 - (-5))² + (-4 - (- 1)²

AC = √5² + -3²

AC = √25 + 9

AC = √34

Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another

Sara rolls a fair dice 600 times.
How many times would Sara expect to roll a six?

Answers

Answer:

100

Step-by-step explanation:

possibility of getting 6 in one roll = 1/6

Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100

I hope im right!!!

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