The perimeter of the rectangle is 80 cm. The area of the rectangle is acm2 . (i) show that x 2 40x + a = 0.​

Answers

Answer 1

Answer:

Proved

Step-by-step explanation:

Given

[tex]p = 80[/tex] ---- perimeter

[tex]a \to area[/tex]

Required

[tex]x^2 + 40x + a = 0[/tex]

The perimeter is calculated as:

[tex]p = 2(x + y)[/tex]

Where

[tex]x,y \to[/tex] the rectangle dimension

So, we have:

[tex]2(x + y) = 80[/tex]

Divide by 2

[tex]x + y = 40[/tex]

Make y the subject

[tex]y = 40 - x[/tex]

The area of the rectangle is:

[tex]a = xy[/tex]

[tex]a = x * (40 -x)[/tex]

[tex]a = 40x -x^2[/tex]

Equate to 0:

[tex]x^2 - 40x + a = 0[/tex]


Related Questions

Plzzz help I don’t have a lot of time

Answers

Answer:

7

Step-by-step explanation:

It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.

(8r-6)+(5r+5)=90

13r-1=90 (combine like terms)

13r-1+1=90+1 (add 1, addition property of equality)

13r=91

13r/13=91/13

r=7

PLEASE HELP ME WITH THIS

Answers

9514 1404 393

Answer:

  3. $0.45

  4. 50%

  5. -5°, -1°, 1°, -2°, 5°

Step-by-step explanation:

3. The difference in tip amounts is ...

  15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45

  Jasmine paid $0.45 more tip than Candice.

__

4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.

__

5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.

We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.

The low temperatures were ...

2nd: -5°9th: -1°16th: 1°23rd: -2°30th: 5°

How many different ways may a set of 4 books be arraged side by side on a shell?

Answers

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

Please I need help in finding the diameter

Answers

Answer:

im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo

Step-by-step explanation:

Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.

Answers

Answer: -1

Step-by-step explanation:

Just took the test

,and the equation is y=-1x+5, so the change of x is -1

Answer:

The answer is -1

Step-by-step explanation:

1/2(x-6.5) = 3.16 what is x?

Answers

Answer:

x =12.82

Step-by-step explanation:

1/2(x-6.5) = 3.16

Multiply each side by 2

1/2(x-6.5) *2 = 3.16 *2

(x-6.5) = 6.32

Add 6.5 to each side

(x-6.5+6.5) = 6.32+ 6.5

x =12.82

Answer: 12.82

Step-by-step explanation:

1/2(x-6.5)= 3.16

x=12.82

what that two numbers when multiplied give 600 and when added give 59 ​

Answers

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y

From the problem we have that

x * y = 600 and x + y = 59

From x + y = 59 -> x = 59 - y

Plug x = 59 - y to x * y = 600 we have

(59 - y) * y = 600

-> 59y - y^2 = 600

-> -y^2 + 59y - 600 = 0

-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]

Then we could plug the answers in and find x because x = 59 - y

Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6​

Answers

Answer:

D is the answer to your question

My mom is making me do prayice and i need the answer for this thanks very much

Answers

4 is an even number


Find the volume of the triangular prism.

Answers

Answer:

33.55 m³

Step-by-step explanation:

volume is base area times height.

the base area is a right-angled triangle (a×b/2).

At = 2.5×4.4/2

the height is 6.1

the total volume is then

2.5×4.4×6.1/2 = 33.55 m³

Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?

Answers

Answer:

-8 degrees Celsius is warmer

Answer:

-8 degrees C.

Step-by-step explanation:

how do i solve this problem

Answers

Answer:

5 sqrt(2) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 45 = x / 10

10 sin 45 = x

10 ( sqrt(2)/2) =x

5 sqrt(2) =x

How many square metres is equivalent to 12 370 cm2?
please answser ASAP

Answers

Answer:

the answer is 1.2370 .. give me brainliest

Point M is located at (3,-2) on the coordinate plane. Point M is reflected over the
x-axis to create point M'. What ordered pair describes the location of M'?

Answers

The answer would be (3,2) because you would do (x,-y)

3
Solve for x.
X =
8
20
35

Answers

Answer:

x=00

Step-by-step explanation:l

nnm

approximate 10.56 to the nearest whole number​

Answers

Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

11

Step-by-step explanation:

See image below:)

Find the value of 'x​

Answers

Answer:

x = 16

Step-by-step explanation:

The sum of the angles of a triangle are 180

128+ 2x-3 +23 = 180

Combine like terms

2x+148=180

Subtract 148 from each side

2x+148 -148 = 180-148

2x = 32

Divide by 2

2x/2 = 32/2

x =16

What is the solution of the equation, 8y = 4?

A. y = 1/2

B. y = 2

c. y = 12

D. y = 32​

Answers

Answer: A, which is y = 1/2

Step-by-step explanation: To find the value of y, you would need to divide both of the sides by 8. This makes it so that 8y turns into just y. After you do this, you would find an answer of y = 1/2. Hope this was helpful! :)

Answer:

y = 1/2

Step-by-step explanation:

8y = 4

Divide each side by 8

8y/8 = 4/8

y = 1/2

Please help me no links!!

Answers

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

Answer:

Slope: -3

y-intercept: -3

Equation: y = -3x - 3

Step-by-step explanation:

1. To get the slope (m):

m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards

2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)

3. Put is all together: y = -3x - 3

Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.

Answers

Answer:

Remember that tan=y/x from your notes from module 4.

Step-by-step explanation:

Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.

For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.

Answer:

-1/1

Step-by-step explanation:

Identify which shapes are similar to shape A and which are not.​

Answers

Answer: Shape 3 and Shape 2

Hope this helps...

Have a great day.

(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call

Answers

Answer:

0.1739 = 17.39% probability of a successful call.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The odds of making a sale on a single call are 4 to 19.

This means that in 4 + 19 = 23 calls, 4 are successful.

What is the probability of a successful call?

[tex]p = \frac{4}{23} = 0.1739[/tex]

0.1739 = 17.39% probability of a successful call.

missing coordinates to complete the following ordered pair y+4x=7

Answers

Answer:

(1,3)

Step-by-step explanation:

This might be wrong, sorry.

y+4x=7

I would think the pair is

(1,3)

Can someone help me please

Answers

Answer:

C

Step-by-step explanation:

All others can be proved false.

Slope and equation, how much battery does she lose an hour

Answers

Equation: y=-5x+100, where x is the number of hours and y is the battery percentage
The slope is -5, meaning she loses 5% of battery per hour
:)
She loses 5% a hour djdjdjdjdj

if m<1 = 23^ and m<2 = 32^, find the measures of all other angles

Answers

Step-by-step explanation:

given,

m1=23°

m2=32°

m3=m1+m2+m3=180°{straight angle}23+32+m3=180°m3=180-55°m3=125°

m3=m6{vertically opposite angle r equal}m6=125°

m2+m3+m4=180°(straight angle)m4=180-157°m4=23°

m3+m4+m5=180°{straight angle}m5=180-148°m5=32°

hope it helps

stay safe healthy and happy....

Examine the triangle below. Use it to answer question 31.
Question 3
What type of trangle is shown?
Acute Equilateral Triangle
Acute Scalen Triangle
C. Obuse Scalene Triangle
D. Right Isosedes Triangle​

Answers

Answer:

It’s blurry but I think it’s an obtuse triangle

Step-by-step explanation:

Maybe a right triangle

please yelp me find the area

Answers

I can’t see the numbers can you comment them?
the area is 144.

Split the shape into two. À and B
9 x 9 = 81. The area of shape A is 81.
Set that aside.

14 divided by 2 is 7. That is the height of shape B. the width is 9.
9 x 7 = 63

63 + 81 = 144.

Correct me if I’m wrong.

Jeff can build 7 birdhouses in 5 hours. Use a
proportion to find out how long it would take
him to build 30 birdhouses. (Round answer to
nearest whole number)

Answers

Answer:

21 hours

Step-by-step explanation:

We can use a ratio to solve

7 houses       30 houses

-------------  = --------------

5 hours         x hours

Using cross products

7x = 5*30

7x = 150

Divide by 7

7x/7 =150/7

x =21.42857143

Rounding to the nearest whole number

x = 21 hours

definition of descartes​

Answers

Answer:

French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)

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