MODELING WITH MATHEMATICS A contractor extends a house on two sides.
A. The area of the house after the the renovation is represented by (x+50)^2
B. Use the polynomial in part (a) to find the area when x=15. What is the area of the extension?

MODELING WITH MATHEMATICS A Contractor Extends A House On Two Sides.A. The Area Of The House After The

Answers

Answer 1

Answer:House=4,225ft^2

Step-by-step explanation:

(15)^2+100(15)+2,500

=225+1,500+2,500

=4,225

Answer 2

(a) The area of the house is [tex]x^2+100x+2500 \; \; ft^2[/tex]

(b) Area of the extension

House =4225 ft^2

Important information :

The area of the house is represented  by quadratic expression

[tex](x+50)^2[/tex]

To find out the product to multiply x+50 twice

[tex](x+50)(x+50)[/tex]

Apply FOIL method to multiply the parenthesis

[tex](x+50)(x+50)\\x^2+100x+2500[/tex]

The area of the house is [tex]x^2+100x+2500 \; \; ft^2[/tex]

(b) given x=15. To find area of extension , we replace x with 15 in the answer we got from part (a)

[tex]x^2+100x+2500 \\x=15\\(15)^2+100(15)+2500 \\225+1500+2500\\4,225[/tex]

Area of the extension

House =4225 ft^2

Learn more about the quadratic  here:

brainly.com/question/4053601


Related Questions

can you help me please ​

Answers

Answer:

0.07

Step-by-step explanation:

its gonna be sin 7/10 which is approx. 0.06569 rounded to the nearest tenth is 0.07

Answer:

So judging by the fact that this is a right triangle clearly we know that we have 90 degrees. X is less than this and doesn't seem equal to the top angle area which looks to be 50 or so degrees I believe side x is 30 or 35 degrees. Sorry if I'm wrong! -Your friend, Bill Cipher

Step-by-step explanation: Have a great V-day <3

What is the missing value of 5x-2y=30 (8,)

Answers

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Factoriza el siguiente trinomio 6x^2 – 26x – 200

Answers

Answer:

2 (x + 4)(3x - 25)

Step-by-step explanation:

[tex]6 {x}^{2} - 26x - 200[/tex]

[tex]3 {x}^{2} - 13x - 100[/tex]

[tex]2 (x + 4)(3x - 25)[/tex]

help me please how do i do this

Answers

Answer:

41 degrees

Step-by-step explanation:

In a parallelogram, opposite angles are equal, so:

[tex]3x+11=5x-9\\-2x = -20\\x=10\\\\E = 3x + 11\\E = 3 * 10 + 11\\E = 30 + 11\\E = 41[/tex]

Here are the steps to solving. The answer is in the top right corner.

Graph the solution of the inequality on a number line. 2(x - 3) - 5x < x-2​

Answers

Answer:

good luck with this, i have got a good mark in this lesson back then and i would gladly like to help you miss gilr

Step-by-step explanation:

Option D is representing the inequality 2(x - 3) - 5x < x-2​ on the number line.

What is a number line?

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the inequality is 2(x - 3) - 5x < x-2​. The inequality will be solved as,

2(x - 3) - 5x < x-2​

2x - 6 - 5x < x - 2

-3x - 6 < x - 2

-3x - x < 6 - 2

-4x < 4

x > -1

The number line of the inequality is attached with the answer below.

To know more about number lines follow

https://brainly.com/question/28516910

#SPJ2

Solve the system by substitution.
y =
-4x
y = x - 5

Answers

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

The label on a 1.25 pound bag of wildflower seeds states that it will cover an area of 280 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover?

Answers

Answer:

1 pound of sunflower seeds will cover about 187 square feet of land

Step-by-step explanation:

To solve this problem, we will have to assume that there is a linear relationship between the net weight of the wildflower seeds and the area of land it can cover when planted.

Based on this assumption, we can find the number of square feet that a 1 pound bag will cover, by setting up a simple relationship as shown below:

if 1.5 pounds covers 280 square feet

1 pound will cover x square feet.

by cross multiplying, we have that

x = (280 X 1) / 1.5 = 186.66 square feet.

Therefore, 1 pound of sunflower seeds will cover about 187 square feet of land

I bought 500 pieces of candy. If 42% of the candy was eaten. How many pieces

were ate?

Answers

Answer: 210

Step-by-step explanation:

42% is equal to the fraction 42/100.

We can multiply 42/100 by 500 to find how much candy was eaten.

42/100 x 500 = 210.

Therefore, 210 pieces of candy were eaten. Hope this helps and good luck!

Answer:

210

Step-by-step explanation:

500 - 42%= 290

500 - 290 = 210

210 = Answer

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Answers

Answer:

Nice picture of Bob (tho i dont know who he is)

Step-by-step explanation:

AMazing

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Bob is great


Brett needed to repair a window that sat 12 feet
high on a house. He has a 15 foot ladder. How far away
must he set the ladder from the base of the house for it
to reach the window exactly?
3 ft
65 ft
© 9 ft D 6 ft

Answers

9 feet

Use Pythagorean theorem:
Leg: 12
Hypotenuse: 15

12^2 + x^2 = 15^2
144 + x^2 = 225
x^2 = 81
x = 9

I need help with this question

Answers

Answer:

it's 324

Step-by-step explanation:

divide 72 by 4 to get one side, then multiply the side by itself, 18 times 18

Tia cut 4-meter 8-cenimeter wire into 10 equal pieces. Martha cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta's wires than one of Tia's?

Answers

Answer: 19.2 cm

Step-by-step explanation:

A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:

= 4.08 * 100

= 408 cm

She cuts this into 10 equal pieces:

= 408 / 10

= 40.8 cm

Martha cuts her 540 cm wire into 9 pieces. Each piece is:

= 540 / 9

= 60 cm each

The difference is:

= 60 - 40.8

= 19.2 cm

peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?​

Answers

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:
90 kg
Step-by-step explanation:
P= 8+x
A=x
5/7 of _=35kg= 49- Peter
49-8=41-Alien
49+41= 90kg

Find x, the angle of depression from the top of a lighthouse that is 199 ft above water level to the waterline of a ship 1104 ft off shore. Round your answer to the nearest tenth of a degree.

Answers

Answer:

10.2°

Step-by-step explanation:

I'm not sure if my answer is correct and I'm not too good at explaining but I'll try.

The height of the triangle would be 199 ft and it's length would be 1104 ft. Since were looking for the angle of depression, the angle would obviously be outside of our triangle (as shown in the picture). The height and length wouldn't change at all so we can just label the imaginary lines with their corresponding measurements.

The angle that we're looking for is marked in the picture. Since we are given the opposite and the adjacent side, we can use the inverse of tan to figure out our angle, which is 10.2°.

You can also use the "Z" rule and our angle would be where it's shown in the third picture. Nothing would change because our opposite side would still be 199 ft and our adjacent side would still be 1104 ft.

the nth term of 17,29,41,53,65

Answers

Answer:

12n+5

Step-by-step explanation:

The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17

What is the circumference of the following circle?
diameter=9cm

Answers

Answer:

The circumference of the following circle is 9π (around 28.274)

Step-by-step explanation:

The circumference can be found by using the following formula, where d is the diameter of the circle...

dπ = 9π ≈ 28.274

On Robert’s shelf are 6 mystery books, 2 science fiction books, 3 adventure books, & 4 history books. Robert will randomly choose 1 book to read, not put it back and then grab another book to read. What is the probability that he chooses an adventure book and then a history book?

Answers

Answer:

2/35

Step-by-step explanation:

total of 15 books

P(Adv,Hist) = 3/15 · 4/14  =  1/5 · 2/7  =  2/35

PLEASE HELP THIS IS DUE TODAY!!​

Answers

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Find the expression that represents the sum of 2i3+5i2-6i and 2i2-3i+8.

Answers

Dry-by-step explanation:

Kznyuszc kubysadnuailsdaieubvaeryulbvaulybeffn

Ioaer

The total cost of a vase of spring flowers at a flower shop depends on the number of flowers ordered. Each flower costs $2.50. Which equation represents the relationship between the total cost, y, to the number of flowers, x?

Answers

Answer:

D. y=2.50x

Step-by-step explanation:

Since the equation asks for the total cost of a vase of flowers (y) that goes on the left side. Each flower costs 2.50 and the flower shop depends on the number of flowers ordered, which makes it a variable. Therefore C is wrong because it has 2.50 as a constant.

The ending equation will be y = 2.50x

Written in context this means that the total cost of a vase of flowers is equal to the cost of each flower (2.50) by how many flowers are ordered.

I hope this helps!!

- Kay :)

Bryce and two of his friends went to eat at Texas Roadhouse. They split the bill evenly between them. Bryce share was $14.85. Write and solve an equation to find the total,t, of the bill .( please help asap and show all your work please)​

Answers

As there are three people in total, the number of total shares is 3.

                Let 1 share = x = $14.85

                               t = 3x

                          t = 3 (14.85)

                            = $44.55

Hope this helps!

1.3, 0.9, 1.1, 0.7, 0.5, 1.0 The mode is​

Answers

Answer:

The mode is when a specific number occurs more than the others

There is no mode my guy

the numbers that are in the bunch are only occurring once.

Step-by-step explanation:

D Find two solutions to the equation 5 y = 8 Complete the statements below.​

Answers

Step-by-step explanation:

(1,5/8), (2,5/4) those are the two solutions

i need someone thats good at math pls help me i dont have the dot plot but i need the mena answer the median sentence and median answer pls

Answers

Answer:

to work out the median you put the numbers in ascending order and then cross one number from the left and right side one at a time until you reach the middle, if you have lots of numbers then add one to the number of items in the data and divide by two.

Question 9 options:
Review the diagram below.



Apply the properties of angles to solve for the missing angles.

Angle x is

Answers

Answer:

Angle X is 122°

Step-by-step explanation:

Because it's a 180° line (supplementary angle thm):

180°-58°=122°

Answer:

y = 62  

x = 122

Step-by-step explanation:

58 + 60 = 118

118 - 180 = y

118 - 180 = 62

y = 62

x = 180 - 58 = 122

PLz help I will give brainliest!!!!! and extra points

Answers

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

Finding which number supports the idea that the rational numbers are dense in the real numbers?

Answers

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.

Answers

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

Help!! I have exam in 10 minutes

Answers

Answer:

LHS=(1-sin60)/cos60

=(1-√3÷2)/1÷2

=2(1-√3÷2)

=2-√3

RHS=(1-tan30)/(1+tan30)

={1-(1÷√3)}/{1+(1÷√3)}

={(√3-1)/√3}/{(√3+1)/√3}

=(√3-1)/(√3+1)

={(√3-1)(√3-1)}/{(√3+1)(√3-1)}

=(3-√3-√3+1)/(3-1)

=(4-2√3)/2

=2-√3

Brainliest?

We have 6 face red cards (JQK x 2) and 16 black cards, so a total of 22 cards.The red face cards and the black cards numbered 2-9 are put into a bag. Four cardsare drawn at random without replacement. Find the following probabilities:
a) All 4 cards are red
b) 2 cards are red and two cards are black
c) At least one of the red cards is red.
d) All four cards are black

Answers

Answer:

I dont know

Step-by-step explanation:

only doing it for points

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