The polynomial x^2 - 30x + 225 represents the area (in square feet) of a square courtyard.
Part 1: Factor the expression and write a polynomial that represents the side length of the courtyard.
Part II: Use the answer from Part I to write an expression for the perimeter of the courtyard.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]x^2-30x+225\\ \\ (x-15)^2, $ so the length of a side is 15ft. $ \\ \\ P=4x=4(15)=60, $so the perimeter is 60ft. $ [/tex]

Answer 2

Answer:

Given polynomial:

x² - 30x + 225Part Ix² - 30x + 225 = x² - 2*15*x + 15² = (x - 15)²

Side length is

(x - 15) ftPart II

Perimeter of the square:

P = 4(x - 15) = (4x - 60) ft


Related Questions

MARKING BRAINLEIST IF CORRECT AND QUICK

Answers

Answer:

Step-by-step explanation:

D)

Hope that helps!

Jamie is standing next to a tree. She is 5.5 feet tall, and her shadow is 2 feet long. The tree's shadow is 12 feet long. Explain how she can use the shadows to find the height of the tree...

Answers

Answer:

Step-by-step explanation:

Because of similar triangles formed we can say

h/12=5.5/2

h=66/2

h=33ft

Which of the following values is equal to – (–8.2)? (3 points)

a
−8.2
b
0
c
8
d
8.2

Answers

Answer:

192-11

13×6

11-10

Cevap Bu Kadar Yaani

Factor the expression using the GCF. 25b+50​

Answers

divide by 25 should get b+2

A truck driver drove 13 hours and earned $520. What is the hourly rate?

Answers

Answer:

$40

Step-by-step explanation:

520/13=40

Answer:

Step-by-step explanation:

[tex]\frac{\$ 520}{13hr}=\$40/hr[/tex]

what's the radius for r=13 mm?

Answers

Step-by-step explanation:

14 mm³ because the radius is this

You earn $42 for washing 7 cars. How much do you earn for washing one car? How much do you earn for washing 3 cars? How much do you earn for washing 5 cars?

Answers

Answer:

1 car = $6 ; 3 car = $18 ; 5car = $30

Step-by-step explanation:

$ 42 = 7 cars

so 1 car = $42÷7 = $6

so 3 cars = 3 × $6 = $18

so 5 cars = 5 × $6 = $30

Hope this helps you.

please help me with this.

Answers

Answer:

Slope=3

Step-by-step explanation:

slope is rise over run, or (y2)-(y1)/(x2)-(x1)

PLEASE HELP
SOLVE THE EQUATION USING ELIMINATION

3x+8y=-5

-2x+2y=18

Answers

By elimination:

X=-7 and y=2

r/3 - 9 >= -2
how do i do this?

Answers

Answer:

r >=21

Step-by-step explanation:

r/3-9>=-2

r/3>= -2+9

r/3 >= 7

r>=7*3

r>=21

Let U = {c, d, e, f, g, h, i) and A = {c, e, h, i). Use the roster method to write the set A'.
A' =
(Use a comma to separate answers as needed.)


HELP MEEE

Answers

Given:

The universal set is

U = {c, d, e, f, g, h, i}

The other set is

A = {c, e, h, i}

To find:

The set A'

Solution:

We know that,

Complement of a set A = Universal set - set A

A' = U - A

   =  {c, d, e, f, g, h, i} - {c, e, h, i}

   = {d, f, g}

Therefore, the set A' is A' = {d, f, g}.

write two prime numbers whose difference is 10?​

Answers

23-13=10

Prime numbers : A whole number greater than 1 that can not be made by multiplying other whole numbers Prime numbers between 1 to 100 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 So, The two numbers whose difference is 10 are 13 and 23 23-13=10

Help&EXPLAIN

Don’t use for points
I’ll report

Answers

Answer:

x = 20

Step-by-step explanation:

The picture shows that there is a right angle (this is indicated by the square in between the two straight lines)

every right angle has a total measure of 90 degrees

knowing this we can say: x + 70 = 90 or x = 90 - 70

either way, you would solve this to get x = 20

Help me out with one as well too please

Answers

Answer:

107° is answer

x+73=180(cointerior angle)

x=180-73=107°

What is the image of (-9,0) after a reflection over the x-axis?

Answers

Answer:

(-9, 0)

Step-by-step explanation:

When a point is reflected over the x-axis, the x-coordinate stays the same but the y-coordinate turns into its opposite. So, the x-coordinate would stay as -9. Because zero is neither negative nor positive, it doesn't have an opposite. So, the y-coordinate would still be 0.

please help me asap!!

Answers

Answer:

35

Step-by-step explanation:

what I did was add GJ together and imaged it in my head to see if it would fit... I'm not sure tho

35
Jdmd I eu to the form that

When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your friend has rigged up some fireworks to be set off when you win. When you win, he sets off the fireworks every time. When you don't win, he accidentally sets off the fireworks 10% of the time. If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

Answers

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

[tex]P(A) = 0.0286 + 0.1*0.9714 = 0.12574[/tex]

Probability of you winning and fireworks going off:

100% of 1/35, so [tex]P(A \cap B) = 0.0286[/tex]

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275[/tex]

0.2275 = 22.75% probability that you actually won that round

If you are driving at 65 miles per hour how long would it take youth to drive 400 miles?

Answers

It is going to be 6 hours and 15 mins

an 800 deposit for 24 months earned $200 in interest. i need to find out the rate, and total value

Answers

Answer:

rate: 8.33 dollars per month in interest. total value: $1000

Step-by-step explanation:

Answer:

rate is 8.30 and total value is 1000

Step-by-step explanation:

Can you help me answer this? please​

Answers

Answer: 1859.5 mini bears

Step-by-step explanation:

From the information given in the question,

10 mini bars = 12.1 grams

10 regular bars = 23.1 gram

1 super bear = 2250 grams

To eat enough mini bears to match the super bears, the number that it'll take will be:

Since 10 mini bars = 12.1 grams

1 mini bear = 12.1 grams / 10 = 1.21 gram

Since 1 super bear = 2250 grams, the number of mini bears needed to equate this will be:

= 2250/1.21

= 1859.5 mini bears

There are 49 students who play percussion which represents 70% of the band how many are in the band ?

Answers

Answer:

Step-by-step explanation:

49÷70% = 70. 70 x 70% = 49. The answer is 70 students :)

find the unit rate 39 plates in 3 stacks =plates per stack

Answers

Answer:

13 plates per stalk

Step-by-step explanation:

plz follow me

Answer:

13 plates in one stack.

Step-by-step explanation:

If you divide 39 (the plates) amongst the 3 stacks, you get 13.

Please tell me the answer​s

Answers

Answer:

Q1) a

Q2) d

Q3)a

Q4)c

Q5) cant see options

Find the simple interest earned on a four year CD on a deposit of $2,000.00 with an interest rate of 2.25%. Show all work.

Answers

Answer:

$2.19

Step-by-step explanation:

Answer:

I=2000×2.25%×4

I=180

Give the coordinates of the point obtained from each reflection. (a) Reflect the point (-3, 7) across the y-axis: 00 (b) Reflect the point (-3, 7) across the x-axis: (01)​

Answers

Answer:

a) Rule for reflection across y - axis:

(x, y) → (-x, y)(-3, 7) → (3, 7)

b) Rule for reflection across  x - axis:

(x, y) → (x, -y)(-3, 7) → (-3, -7)

-x²-2x+7=-17 help lol

Answers

you can just use photomath

A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
the box that will have minimum surface area.​

Answers

If the length, breadth and height of the box is denoted by a, b and h respectively, then V=a×b×h =32, and so h=32/ab. Now we have to maximize the surface area (lateral and the bottom) A = (2ah+2bh)+ab =2h(a+b)+ab = [64(a+b)/ab]+ab =64[(1/b)+(1/a)]+ab.

We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.

Therefore the box has length and breadth as 4 ft each and a height of 2 ft.

Select all the options that represent different forms of the number 500,368? A. Five hundred, three thousand, and sixty-eight B. Five hundred thousand, three hundred sixty-eight. C. 5,000 + 300 + 60 + 8 D. 5 hundred thousands + 3 hundreds + 6 tens + 8 ones E. 500,000 + 300 + 60 + 8

Answers

Answer:

B, D, and E

Step-by-step explanation:

B. Five hundred thousand = 500,000/ three hundred = 300/ sixty-eight = 68.

D. 5 hundred thousands = 500,000/ 3 hundreds = 300/ 6 tens = 60/ 8 ones = 8.

E. 500,000 + 300 + 60 + 8 = 500,368.

if you get the right answer 5 starr review

Answers

Answer:

C

Step-by-step explanation:

Need to do this Help please

Answers

Answer:

Step-by-step explanation:

Now e have two figures

1 is ABCD and other is APQD ,

Now to find g and f,

Now the are both figure is ,

Area = length * width

Area ABCD = 39 cm^2

AB* BC = 39

(g+7) * ( f) = 39

Again,

Area APQD = AP*QD= 16 cm ^2

(g)*(f)=16

from here f =16/g  putt it in above equation we get ,

(g+7)*16/g = 39

16*g-39*g+96 =0

-23g +96 = 0

g = 96/23

g =3 cm

Now for f putt in one of the above equation ,

f =16/3

f =5.33 cm

Answer:

f = 3cm g = 6cm

Step-by-step explanation: to find f

Subtract the area of APQD from ABCD then divide by 7

f = (39 - 18)/7

f = 21/7

f = 3

To find g, divide the area of APQD by 3

18/3 = 6

We can do this because of the givens: ABCD is a rectangle, PQ is parallel to AD, so BC=AD=PQ

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