The length of a rectangle is 7 cm more than its width. If the diagonal of
the rectangle is 35 cm, find the dimensions of the rectangle.
What is the width an length ?

Answers

Answer 1

Answer:

Length = 12, width = 5

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

Equation: d^2 = l^2 + w^2

35^2 = (x + 7)^2 + x^2

169 = (x + 7)(x + 7) + x^2

169 = x^2 + 7x + 7x + 49 + x^2

169 = 2x^2 + 14x + 49

subtract 169 from both sides

0 = 2x^2 + 14x - 120

divide by 2

0 = x^2 + 7x - 60

factor, to find the numbers just think of what number multiplied by what number would equal -60 and have the same numbers added together equals 7. 12 times 5 is 60 but it has to be -60, and 12 - 5 equals 7 so the numbers would be 12 and -5

0 = (x + 12)(x -5)

x = -12, and x = 5, but u can only use positive solutions so length equals 12 and width is 5


Related Questions

What is the value of x?
O 2 units
O 3 units
O 5 units
08 units

Answers

Answer:

The value of x is 5 units ⇒ C

Step-by-step explanation:

In the given figure

∵ Δ ABC is a right triangle at vertex B

∵ AC is its hypotenuse

∵ BD ⊥ AC

(BD)² = AD × DC

∵ BD = 10 units

∵ AD = x units

∵ DC = 4x units

→ Substitute them in the rule above

(10)² = x × 4x

∴ 100 = 4x²

→ Divide both sides by 4

∵ [tex]\frac{100}{4}[/tex] = [tex]\frac{4x^{2}}{4}[/tex]

∴ 25 = x²

→ Take √  for both sides

5 = x

The value of x is 5 units

Ellen reads an average of 33 pages per day from Monday through Friday and an average of 68 pages per day on the weekend. For each week, what is the average number of pages that Ellen reads per day?

Answers

Answer:

Ellen reads an average of 43 pages per day.

Step-by-step explanation:

33 × 5 = 165

68 × 2 = 136

165 + 136 = 301

301 ÷ 7 = 43

Describe in words and symbols the end behavior of f(x)=−5x4

Answers

Answer:

The graph is attached below.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=-5x^4[/tex]

Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -5x⁴,  then the degree is 4, i.e. even, and the leading coefficient is -5, i.e. negative.

This means that f(x) → −∞  as x → −∞ and f(x)→−∞  as x→∞.

The graph is attached below.

Answer:

Step-by-step explanation:

228:4 as a unit rate​

Answers

Answer: 57:1

Step-by-step explanation: 228/4 = 57, so 57/1 = 57:1.

Answer:

57: 1

Step-by-step explanation:

You take 228 divided by 4 which will give you 57 you do it to this side so you did the same thing to the other which mean you take 4 divided by 4 which is 1 therefore the unit rate is 57: 1

Divide the difference between 1,200 and 700 by 5

Answers

Answer: 1200 minus 700=500 divided by 5=100

Step-by-step explanation: I got it right on a test

Answer:1200 minus 700=500 divided by 5=100

Step-by-step explanation:

if f(x)=5x, what is f^-1(x)?​

Answers

The answer is hard to find I really don’t know sorry

A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?

Answers

There are 9 blue marbles.

Step-by-step explanation:

12÷4=3

3×3=9

Find the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope

Answers

Answer:

Slope intercept equation would be: x - 3 = 0

Step-by-step explanation:

[tex]slope \: (m) = undefined = \frac{1}{0} \\ \\ \because \: line \: passes \: through \: the \: \\ point (3, \: - 1) = ( x_{1}, \: y_{1}) \\ \\ equation \: of \: line \: line \: in \: \\ point \: slope \: form \: is : \\ \\ y - y_{1} = m(x - x_{1}) \\ \\ y - ( - 1) = \frac{1}{0} (x - 3) \\ \\ y + 1 = \frac{1}{0} (x - 3)\\ \\ 0(y + 1) = (x - 3) \\ \\ 0 = x - 3 \\ \\ x = 3[/tex]

x=3 is the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope.

If a line has an undefined slope, it means the line is vertical.

A vertical line has the equation of the form x = c, where c is a constant representing the x-coordinate of any point on the line.

The line passes through the point (3, -1), so the x-coordinate of any point on the line is 3.

Therefore, the equation of the line is x = 3.

If the slope-intercept form of a line (y = mx + b), it's not possible for a vertical line because it doesn't have a slope.

The slope-intercept form assumes a non-vertical line.

Hence, the equation of the line passing through (3, -1) with an undefined slope is simply x = 3.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ2

The diameter of the circle is 6 what’s the circumference

Answers

Answer:

If the diameter of a circle is 6 your answer is 18.85

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

2πr = CRadius: D ÷ 2 = 6 ÷ 2 = 3Plug 3 into the formula: 2π32π = 2 × 3.14 = 6.286.28 × 3 = 18.84

I hope this helps!

Find the measure of the missing angles. One of them is wrong I’m not sure which one. (Picture included)

Answers

bruhh im having the same fking problems like jesus christ!!!!

(Ill give brainliest :) )

Which equations have a value less than 6,766?

A. one fourth x 6,766 = ________

B. 6 x 6,766 = ________

C. one half x 6,766 = ________

D. 1 x 6,766 = ________

1) A and C
2) D and B
3) A and B
4) C and D

Answers

Answer:

A and C

Step-by-step explanation:

A.¼×6766=1691.5

B.6×6766=40,596

C.½×6766=3383

D.1×6766=6766

A shoe store buys a pair of boots from a supplier for $45. The store's manager decides on a markup of 35%. What is the new price of the boots?

Answers

Answer:

The new price of the books = $60.75

Step-by-step explanation:

As the original price is: $45

As the markup is: 35% = 35/100 = 0.35

The Markup on the original price is:

0.35 × 45 = $15.75

Hence, the new price of the boots:

$45 + $15.75 = $60.75

Therefore, the new price of the books = $60.75

intro helpe fast I need help

Answers

3rd one hope this helps
The answer is B or the second one

DOOGGGGGGGGGGGGGGGGYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Answers

Answer:

AWW CUTEEE!

Step-by-step explanation:

Is he/she yours? They are adorable :)

What is the equation of the line of best fit that Mel drew?

Answers

Answer: the answer is y = 2/3x + 6

Step-by-step explanation: answer

The correct answer for the best line of fit is y = 2/3x + 6

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

In the scatter point it shows that the starting y-intercept is 6 and two of the options have a y-intercept of 15.

We have a picture of the line of fit if it has a slope of 1/3.

The 2/3 is the slope and 6 is the y intercept.

We know that Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.

So, the correct answer is y = 2/3x + 6

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

The equation, 3x2 + 6x + 3y2 + 7y + 4 = 0, represents a conic.
The conic represented by the equation is alan
v because

Answers

Answer:

Circle - A=C

Step-by-step explanation:

The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,

Equation of a circleThe standard equation of a circle is expressed as [tex]x^2+y^2+2gx+2fy+C=0[/tex]

Given the equation of the circle [tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0[/tex]

Rearrange the equation

[tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0\\ 3x^2 + 3y^2 + 6x +7y + 4 = 0[/tex]

The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,

Learn more on equation of a circle here: https://brainly.com/question/1506955

Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus
spells a word correctly and has the opposite score. Which is the correct way to represent the opposite of
Liliana's score is equal to Marcus's score"?
0 -18-18
O-(-18) --18
-(18) --18
-(-18) - 18

Answers

Answer:

D) -(-18)= -18

Explanation:

Did the quiz, and got it right

Answer:

D

Step-by-step explanation:

100 points and Brainliest to the nicest person eheehhehehehehehehe

Answers

Answer:

Awe thank you so very much for the points. That was very generous of you.

Step-by-step explanation:

Hope you have an amazing Happy Thanksgiving .

Have a great rest of your day.

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Question 4 of 10
Given below are lease terms at the local dealership. What is the total
depreciation fee for this car?
Terms:
• Length of lease: 24 months
• MSRP of the car: $17,500
.
Purchase value of the car after lease: $9900
Down payment: $2400
Monthly payment: $425
Security deposit: $375
Acquisition fee: $500

Answers

Answer:

216.67

Step-by-step explanation

i took the bullet.

{letters used in the word 'mathematics'}​

Answers

m a t h e m a t i c s

Answer: m a t h e I c s

Step-by-step explanation:

Those are all of the letters

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

Answers

Answer:

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

Step-by-step explanation:

have a nice day!!!

At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD= EFGH find EF

Answers

Answer:

EF = 44 ft

Step-by-step explanation:

Given that ABCD is congruent to EFGH, it follows that their corresponding lengths and angles would be congruent to each other.

This means, for the sides:

AB = EF,

BC = FG,

CD = GH

AD = EH.

Therefore, if AB = 44 ft, corresponding side, EF = 44 ft

Answer:PLEASE CONTACT ME I NEED A QUIZ U HAD

Step-by-step explanation:

X +4> -10
..........

Answers

Answer:

X>-14

Step-by-step explanation:

Just had to solve it

A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?

Answers

Answer:

A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.

Step-by-step explanation:

im built different

whats 2+9 if right you get brainly crown

Answers

Answer:

11

Step-by-step explanation:

2+9=11

2+1=3

2+2=4

2+3=5

2+4=6

2+5=7

2+6=8

2+7=9

2+8=10

2+9=11

Which of the ratios below is equivalent to 3:5? Select all that apply.

A) 6:10
B) 9:11
C) 9:15
D) 15:25
E) 15:9

Answers

Answer:

a, c, d all applies

Step-by-step explanation:

Question 15 (2 points)
Which of the following scenarios will most negatively impact a credit score? (2 points)

A. keeping only one type of credit
B. applying for many different credit cards
C. keeping a high balance on credit cards
D. having a short credit history

Answers

I answer to the question is C

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE
The graph shows the amount of money possible to make when charging a certain amount for tutoring. The x values represent the price of an hour of tutoring and the y values represent the total profit. What are the zeros of the function? What do they represent

Answers

Answer:

It represents no total profit

Step-by-step explanation:

The zeros are the initial point represent how have not yet started the hour of tutoring which means no total profit.(0,0)

help plz this hard i really need help

Answers

With all questions???

A novelist can write 2and 1 fourth pages in 3 fourths hour. How many pages can she write per hour?

Answers

Answer:

The novelist can write 3 pages per hour

Step-by-step explanation:

Unit rate is the work done per unit time.

Given

Number of pages = p = [tex]2\frac{1}{4} = \frac{9}{4}[/tex] pages

Time =t = [tex]\frac{3}{4}[/tex] hours

In order to find the number of pages per hour, we have to divide the number of pages by hours.

So,

[tex]Pager\ per\ hour = \frac{\frac{9}{4}}{\frac{3}{4}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}\\pages\ per\ hour = \frac{9}{4} * \frac{4}{3}\\= 3\ pager\ per\ hour[/tex]

Hence,

The novelist can write 3 pages per hour

Other Questions
What happens to valence electrons when a covalent bond forms? Name the parts of an Action Potential and include the Ions that are responsible for an Action Potential. What is 30% of $10?$Submit 1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, , three candy bars cost $3.81 at this rate how much does 7 candy bars cost A cyclist starts a journey from town A. He rides 10km north then 5km east and finally 10 km on a bearing of M45E 01101 + 01001 please help me James wants to know which brand of shoe will help him run faster. He thinks the more expensive shoe should be the one that helps him run faster. He tries three different types of running shoes. He runs one lap on the track with one pair of shoes (shoe A) and timeshow long it takes. He rests for 15 minutes. Then, he tries on another pair of shoes (shoe B) and runs a lap around the track, while timing how long it takes. He rests for 15 minutes before repeating the lap with the last brand of shoes (shoe C).Which type of data did he collect?a.)observational datab.)qualitative datac.)quantitative datad.)experimental data How does Squeaky show that she is serious about running CAN ANYONE DO IT. PLZ Yeah I know this does not make sense but can same one help me also the answer is not glasses or sunglasses. pls help I need like another 23 questions to go. Match the method to increase intensity with its correct exercise category.1. Add more time to your workout. resistance 2. Flex and relax the muscle. flexibility 3. Increase the amount of weight used. cardiovascular Mia uses of a bag of soil in the morning and of a bag in the afternoonAbout how much soll does she use in one day? no answering at all only comments 7. Find the value of x.101796390" China was isolated from the world before Imperialism, how do you think the Europeans will be able to take over China? In order for two lines to be parallel they must have the sametype your answer...and different type your answer.... u have $9.60 to buy avocados for a guacamole recipe.Avocados cost $2.40 each.Identify an inequality that represents the number x of avocados you can buy. find the ragio p:r if p:a=1:2, a:b=2:3, b:c=5:1, c:r=3:2 3,3,8,5,3,6,8,3,3Find the mode And find the range for the data