The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.

Answers

Answer 1

Answer:

[tex]y = x^{2} + 3x + 1[/tex]

Step-by-step explanation:

Perimeter equals the sum of the lengths of the sides.

Let y = the length of the fourth side

[tex]4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y[/tex]

[tex]4x^{2} + 3x - 4 = 3x^{2} - 5 + y[/tex]

[tex]x^{2} + 3x + 1 = y[/tex]


Related Questions

HELP (ENGLISH)
Amira is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 9 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Answers

The expression should be 75+20x. For every nine minutes (75+20(9)) the oven temperature should be at 255 degrees.

BRAINLIEST ....................................

Answers

9514 1404 393

Answer:

  (b)  7720 mm² of paper

Step-by-step explanation:

The central horizontal rectangle of the net is 80 mm high and ...

  40 + 5.5 + 40 + 5.5 = 91

mm long. Its area 9 is ...

  (80 mm)(91 mm) = 7280 mm²

__

The two pieces of the net not accounted for above are the "flaps" above and below the central rectangle. Each of those two has an area of 40 mm by 5.5 mm, so their total area is ...

  2(40 mm)(5.5 mm) = 440 mm²

Then the area of paper needed for the wrapper is ...

  total area = 7280 mm² + 440 mm²

  total area = 7720 mm²

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Answers

Answer:

volume = 254.34 cubic inches

Step-by-step explanation:

r = diameter /2 = 6/2 = 3 in

h = 3 × r = 3 × 3 = 9

volume = pi× r^2 × h

3.14 × 3 × 3 × 9254.34 cubic inches..

evaluate the expression 0.7^2​

Answers

Answer:

0.7²=0.7×0.7=0.49 is answer

Write
11/16
as a decimal.

Answers

Answer:

[tex]0.6875[/tex]  OR:  [tex]0.7[/tex]

Step-by-step explanation:

[tex]0.6875\\0.688\\0.69\\0.7[/tex]

Help please I need help with this

Answers

Answer:

The answer is 1.53 for week 1 and

week 2 is 1.2

Step-by-step explanation:

please answer I have a freaking e in my math class​

Answers

Answer: I would answer but the image is blocked for me- can you type the problem by any chance?

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

Initial value usually means the y value when x=0

I could use a little help on this question take your time and please give the right answer if you dont give the right answer its fine

(reward for best answer):D

Answers

Answer:

3/5 or three fifths

Answer:

62 cookies

Step-by-step explanation:

If we take 40 and divide by 24 we get 1.6 that means for every normal cookie there is 1.6 chocolate cookies. With that we can simply just divide 100 by 1.6 to get 62.5 I chose to round down.

A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball

Answers

Answer:

$39.59

Step-by-step explanation:

37 increase 7% =

37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59

Researchers study the population of bass in a lake. The researchers catch, tag, and release 50 bass into the lake. During a fishing tournament the following week, competitors catch and release 525 bass, 15 of which had been previously tagged by the researchers.
What is the best estimate for the number of bass in the lake?

Answers

Answer: B.

Step-by-step explanation: 550 bass

Please help


Select ALL the true equations.

1. 5 + 0 = 0

2. 15 x 0 = 0

3. 1.4 + 2.7 =4.1

4. 2/3 x 5/9 = 7/12

5. 4 2/3 = 5 - 1/3

Answers

True equations:

- 15 x 0 = 0
- 1.4 + 2.7 = 4.1
- 4 2/3 = 5 - 1/3

The True equations are

2. 15 x 0 =0

3. 1.4 + 2.7 = 4.1

5. 4 2/3 = 5- 1/3

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

1. 5 + 0 = 0

5 = 0

This is not an equation because LHS ≠ RHS.

2. 15 x 0 =0

0= 0

This is an Equation.

3. 1.4 + 2.7 = 4.1

4.1 = 4.1

This is an Equation.

4. 2/3 x 5/9 = 7/12

10/ 27= 7/12

This is not an Equation.

5. 4 2/3 = 5- 1/3

14/3 = 14/3

This is an Equation

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ2

A customer calls your landscaping business already knowing the total area of a circular garden they are going to have landscaped. The area of the garden is 33.26 yards². For the work they are asking you to do, you need to calculate the radius. Remember to work the Area formula backwards to solve for the radius.

Answers

Answer:

Step-by-step explanation:

Area = πr²

πr² = 33.26

r = √(33.25/π) ≈ 3.25 yards

Solve 8x+2<12 please

Answers

Just use the Photomath

Really stuck on this question plz help!

Answers

Answer:

a) 6:51

b)6:42

c)49 mins

Step-by-step explanation:

Pls answer and thank you if you answer correct answer

Answers

Answer:

C) 4,000

Step-by-step explanation:

I hope this helps :)

why am I obsessed with lemons but I can't eat them cause I eat to much an my dentist said your teeth can melt cause of the acid and I will be teeth less I CANT STOP THINKING ABOUT THE SOURNES!!!!! i hate sugar by the way only sour

Answers

Answer:

Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.

Answer:

I am somewhat the same way I only like sour

Step-by-step explanation:

Help me please It is timed​

Answers

according to me answer is

0.5b

Answer:

b

Step-by-step explanation:

Use the Pythagorean Theorem or knowledge on special right triangles to find the missing variable in the following triangles.


Round your answer to the nearest hundredth when necessary (help ASAP)

Answers

Answer: K = 28^2, C = x^2, W = X^2, G = 22^2, T = X^2, and last but not least, A = X^2.

Step-by-step explanation:

For this you need to use the Pythagorean Theorem formula. A^2 + B^2 = C^2. Then you plug in your numbers. For this problem. You got figure out your As, your Bs, and last but not least, your Cs.

I hope this helps you solve the problem.

PLEASEEEE HELPPPPPP!!!

Answers

Answer:

18

Step-by-step explanation:

A couch was originally priced $500 dollars and on sale for 70% off what is the price for after the discount

Answers

Answer: the answer would be $150

Step-by-step explanation:

Answer:$150.00

Step-by-step explanation:

If you think about a item going down by 70%, it means that you are paying only 30% of the total price.

100%-70%=30%

So 30% of $500 is what you are paying.

30%=30/100=0.3

So you multiply 0.3x500

Which is equal to 150

The length of the rectangular field is two times its breadth. If the perimeter of the field is 300m, find the length and breadth.

Answers

Answer:

Youu can call the breadth x and then, as the length is two times the breadth, it would be 2x.

So now when we call x to the breadth and 2x to the length we can do an equation, as we know the sum of the four sides is 300 meters, so

2x + 2x + x + x = 300

6x = 300

x = 300/6 = 50

We know that the breadth is 50m, and, the length, which is twice the breadth, would be 100m in this exercise.

SO in this case, the breadth is 50 meters and the length is 100 meters..

Based on the line of best fit, how much money would a company most likely spend on advertising if the company's yearly revenue was $80,000? $3.000​

Answers

Answer:

I dont understand the qustion? did you answer it?

Step-by-step explanation:

Answer:

$83,000

Step-by-step explanation:

because it said most likely

Can someone help me out please?

Answers

Answer:

2067in

Step-by-step explanation:

19x26= 494

13x17=221

26x26x2=1352

494+221+1352=2067

Evaluate (n + 3)2 – 2n, when n = 2.

Answers

Answer:

-10

Step-by-step explanation:

rhoda pays for internet access each month The graph shows the relaionship

Answers

Answer:

more info??

Step By Step:

Which expression is equivalent to i 2337
O 1
O -1
O i
O -i

Answers

I think it’s A. or B.

simplify. 5x^2+4x-17-9x-6​

Answers

.......................................................

5x^2-5x-23 is the answer

Combine like terms to get your answer

Please show workings.

To start a transport company, a business man needs at least 5 buses and 10 minibuses .
He is not able to run more than 30 vehicles all together.
A bus takes up 3 units of parking space, a minibus takes up 1 uni of parking space and there are only 54 units available.
If x and y are the number of buses and minibuses respectively.

a. Write down for inequalities which represents the restrictions of the businessman.
b. Draw a gaph that shows a region representing possible values of x and y.
c. Find the greatest number of:
i. buses
ii. minibuses that the business can run​

Answers

9514 1404 393

Answer:

  a) x≥5; y≥10; x+y≤30; 3x+y≤54

  b) see attached

  c) i. 14 buses; ii. 25 minibuses

Step-by-step explanation:

a. The given restrictions are ...

  x ≥ 5 . . . . . . . . . minimum number of buses

  y ≥ 10 . . . . . . . . minimum number of minibuses

  x + y ≤ 30 . . . . .maximum number of vehicles

  3x +y ≤ 54 . . . . maximum number of parking units

__

b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.

__

c. The second attachment shows the maximum numbers of each.

i. maximum buses: 14 (and 12 minibuses)

ii. maximum minibuses: 25 (and 5 buses)

Please help.
Algebra.

Answers

Answer:

"?" = 3

Step-by-step explanation:

The answer can be gotten by subtracting 4 from 7. The 4 is the exponent in (4a^4b), and the 7 is the exponent in 16a^7b. So:

7 - 4 = 3

Therefore, the "?" = 3

Hope this helps :)

Answer:

?=3

Step-by-step explanation:

Okay so with exponents, when multiplying exponents with the same base, you add them.

In your case, we have a^? * a^4=a^7 (this is the only part you need to solve)

so ?+4=7

?=7-4=3

Have a nice day!

Assume that x = x(t) and y = y(t). Let y = x^2 + 6 and
dx/dt=4 when x=1
Find dy/dt when x = 1​

Answers

Answer:

[tex]\frac{dy}{dt}[/tex] = 8

Step-by-step explanation:

Given:

x = x(t) and y = y(t)

Let y = x² + 6

By differentiating the given equation with respect to t,

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2}+6)[/tex]

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2})+\frac{d}{dt}(6)[/tex]

Since, [tex]\frac{dx}{dt}=4[/tex] when x = 1

[tex]\frac{dy}{dt}=2x\frac{dx}{dt}+\frac{d}{dt}(6)[/tex]

[tex]\frac{dy}{dt}=2(1)(4)+0[/tex] [By substituting the values of [tex]\frac{dx}{dt}[/tex] and x = 1]

[tex]\frac{dy}{dt}[/tex] = 8

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