The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.

Answers

Answer 1

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10


Related Questions

Hope you are having a good day !!
I don't know if I can help much since i'm only in 7th grades as of Feb 2021, but if you are in my grade or lower I could probably help ! <3

Answers

Answer:

ok

Step-by-step explanation:

-7x2+1 need help plz

Answers

Answer:

-7 × 2 + 1 =

-13

Step-by-step explanation: I hope it helps.

Use Pascal's Triangle to help find the missing values. x^4-4x^b+6x^2-ax+1

a=

b=​

Answers

Answer:

The value of a = 4 , b = 3

Step-by-step explanation:

Given the equation,

x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1

so, the coefficients are -      1     4      6     a     1

the Pascal's triangle is as follows :

                                         1

                              1                     2

                   1                   2                        1

         1                   3                   3                         1

 1                4                   6                      4                       1

So,

from Pascal's triangle ,

we can see that , after comparing with given equation , we get

Row n = 4

The coefficient be 1 4 6 4 1

∴ we get

a = 4

and

(x+y)⁴ = x⁴ + 4x³y + 6x²y² + 4xy³ + y⁴

Now, as given equation be x⁴ - 4[tex]x^{b}[/tex] + 6x² - ax + 1

By comparing we get y = -1 and b = 3

So, we get

a = 4 , b = 3

18x - 7y=1
X - 7y=-33

Answers

Answer:

18x=7y+1

18x-1=7y

x+33=7y

18x-1=x+33

17x=34

x=2

y=5

Step-by-step explanation:

8 times the difference of u and 10

Answers

Answer: 8(u - 10)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

10-8=2

8*2=16

Daniel expanded the expression as shown.

-2(-8x-4y+3/4)=10x-8y-1 1/4

Answers

Answer:

-2(-8x-4y+3/4)= 16x + 8y - [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

Step1:

Multiply the parenteses by -2

= -2 × (-8x) -2 × (-4y) -2 × [tex]\frac{11}{4}[/tex]

Step2:

Calculate and reduce

= 16x + 8y - [tex]\frac{11}{2}[/tex]

Answer:

The right answer is

Step-by-step explanation:

Click To Open!

I'm just try to make yall happy with no answer lol have a good day

Solve the system 2x + 3y = 6 2x - 5y = 22

Answers

Answer:

In point form (6,-2) and Equation form: x = 6, y= -2

Step-by-step explanation:

In a coffee shop, the average drink is currently $4.50 while the average pastry is $2.25. You've made a total of $5,250 today. Write an equation to model the breakdown of your sales between drinks and pastries.

Answers

Answer:

[tex]4.50x+2.25y=5,250[/tex]  where [tex]x[/tex] denotes number of drinks and [tex]y[/tex] denotes number of pastries.

Step-by-step explanation:

Let [tex]x[/tex] denotes number of drinks and [tex]y[/tex] denotes number of pastries.

Cost of the average drink = $4.50

Cost of the average pastry = $2.25

Total amount = $5,250

Therefore,

[tex]4.50x+2.25y=5,250[/tex]

4 cm
5 cm
7 cm
10 cm
Work out the perimeter of this shape.

Answers

Answer:

34 centimeters

Step-by-step explanation:

Hope this helps! ;)

Answer: 34

Step-by-step explanation:

10+7+5+4+6+2= 34

Brian's monthly gross income is $2,950. He pays 22% of his monthly gross

earnings in federal and state taxes and spends 10% of that monthly income to

pay off his credit card debt. Brian is also paying off a loan his parents gave him

for a new car by sending them 8% of his income per month. Brian found an

apartment near his work that rents for $1,300 per month. Will he be able to make

the payments without changing the amounts he pays towards his loan and credit

card debt?

Answers

Answer:

Yes

Step-by-step explanation:

I = 2950

T = 22% x 2950 = 649

CC = 10% x 2950 = 295

NC = 8% x 2950 = 256

R = 1300

I - (T + CC + NC + R) > 0

2950 - ( 649+ 295 + 256 + 1300) > 0

2950 - 2500 >= 0

450 > 0

Is (1, 10) a solution to this system of inequalities?

y < x + 10
y < 8x + 7

Answers

Yes!!!!!!!!!!! It is a solution

All of the following fractions are equal to
2
except:
9
18
20
40
оооо
NEXT QUESTION
ASK FOR HELP

Answers

Answer:

Except 4 out of 6

the answer is the third one

The third one is not 1/2

URGENT BRAINLIEST HELPPP

Answers

Answer:

242 ft²

Step-by-step explanation:

8X18=144

7X14=98

144+98=242

The answer to this question is 242

Alfred has 10 more tokens than Clarissa. Clarissa has twice as many tokens as Benji. They have 85 tokens altogether. How many tokens does each person have.

Answers

Answer:

Alfred has 40 tokens

Clarissa has 30 tokens

Benji has 15 tokens

Step-by-step explanation:

Let's give each person a variable:

A for Alfred

C for Clarissa

B for Benji

Now, we can take what the question is saying and convert them into equations:

Alfred has 10 more tokens than Clarissa can look like this:

A = C + 10

Since Alfred has 10 more coins than Clarissa we can take C and add 10 to find how many tokens Alfred has.

Clarissa has twice as many tokens as Benji looks like this:

C = 2B

Since Clarissa has twice as many tokens as Benji we can multiply B (how many tokens Benji has) by 2.

Lastly, they have 85 tokens all together:

A + B + C = 85

We have these 3 equations:

A = C + 10

C = 2B

A + B + C = 85

Now, we can substitute some variables:

A = (2B) + 10    Since C is equal to 2B we can substitute 2B in for C in the first equation.

We have found what A equals, we can plug that in to the last equation:

(2B) + 10 + B + C = 85

We can also substitute the second equation into the third equation:

(2B) + 10 + B + 2B = 85

Combine like terms:

5B + 10 = 85

Solve

5B = 75

B = 15

This means that Benji has 15 tokens. Now we can find how much the other children have:

C = 2(15) = 30

Clarissa has 30 tokens

A = 30 + 10

A = 40

Alfred has 40 tokens.

Answer:

Alfred has 40 tokens

Clarissa has 30 tokens

Benji has 15 tokens

Checking the Answer

A + B + C = 85

40 + 15 + 30 = 85

85 = 85

I hope this helps!!

- Kay :)

(y - 3)-3/2+(y-3)-1/2=0

Answers

Answer:

y=4

Step-by-step explanation:

How many triangles, if any, can be drawn with side lengths of 4 cm, 7 cm, and 15 cm?

Answers

Answer:

none

Step-by-step explanation:

the two shortest lengths combined have to be longer than the longest length

4+7=11

11<15

the 4 cm side and the 7 cm side wouldn't touch

It would be impossible beca if you add 4 and 7, you would get 11 as an answer and 11 is less than 15. In order to create a triangle, the first 2 measurements should be greater than the 3rd measurement or else the sides wouldn’t touch. Hopefully this helped you out !! C:

brainliest if correct ill do giveaway if you give correct answer
Hailey had 29 DVDs. She went to the store and bought more. Now she has 33 DVDs. How many DVDs did she buy?
A.3 DVDs
B.4 DVDs
C.33 DVDs
D. 62DVDs

Answers

Answer:

option B 4 DVDs

Step-by-step explanation:

she bought 4 DVDs.

plz mark my answer as brainlist plzzzz. hope this will be helpful to you.

4. If A = (-4, -5) and B = (-1, -10), what is the length of segment AB? Round your answer to the nearest hundredth.

Answers

Answer:

5.83095 or √34

Step-by-step explanation:

Find the difference between coordinates:

(x2-x1) = (-1 - -4) = 3

(y2-y1) = (-10 - -5) = -5

Square the results and sum them up:

(3)2 + (-5)2 = 9 + 25 = 34

Now Find the square root and that's your result:

Exact solution: √34 = √34

Approximate solution: 5.831

eighteen divided by the sum of two and seven
Numerical expression.

Answers

Answer:

D

Step-by-step explanation:

Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times

Answers

Answer:

0.75 ;

150

Step-by-step explanation:

Probability of rolling two even numbers :

{1, 2, 3, 4, 5, 6}

P(even) = 3 / 6 = 1/2

From a roll of 2 dice :

P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25

P(not even) = 1 - 1/4 = 3/4

X : ____ 6 _______ - 1

P(x) ____ 0.25 ____ 0.75

Expected value :

Σx*p(x) = (6*0.25) + (-1 * 0.75)

= 1.50 - 0.75

= 0.75

If 200 games are played :, n = 200

Expected value * n

0.75 * 200

= 150

help me with this multiple choice !

Answers

Answer:

60 30 special triangle

answer is b

Answer:

B

Step-by-step explanation:

What are the factor pairs of 81.

Answers

Answer:

9 × -9 = 81, (-9, -9) is a pair factor of 81.

Step-by-step explanation:

Charlotte is at a baseball game in the upper deck of the stadium. She is 200
200
feet away from home plate. If the angle of depression to the field is 38°
38
°
, at what height above the field is Charlotte sitting?

Answers

Answer:

123.1323

Step-by-step explanation:

Pls help me no one explanation I will mark tysmmm

Answers

Answer:

1/4

Step-by-step explanation:

It's going 1 up and 4 across

It is important for engineers design and building so understanding the relationship between the height and volume of the building. A taller building if not billed correctly is more likely to collapse, because a small increase in height leads to a large increase in volume. an engineer builds to build a models of different sizes in the shape of square blocks . the smaller building has a height of 1m, and volume of 1m^3. The volume of the larger building is 125m^3. The height of the building, represented by X, is equal to the cube root of the buildings volume. The equation below can be used to find X, in meters. X^3=volume determine how much taller, in meters, the height of the larger building is then the smaller building.Mm

Answers

Answer:

Larger building is 4 meters taller than smaller building.

Step-by-step explanation:

Formula to get the height 'x' of a building having volume = x³ is,

x = [tex]\sqrt[3]{\text{Volume of the building}}[/tex]

Height of the smaller building,

[tex]x_1=\sqrt[3]{1}[/tex]

[tex]x_1=1[/tex]

Similarly, height of the larger building = [tex]\sqrt[3]{125}[/tex]

                                                               = [tex]\sqrt[3]{5^3}[/tex]

                                                               = 5 meters

Difference in the heights of the buildings = 5 - 1

                                                                     = 4 meters

Therefore, difference is the height of larger and smaller building is 4 meters.

Which system of inequalities has no solution?

Answers

Answer:

i think c

Step-by-step explanation:

Pls Help!! I'll Give BRANLISTT DUE SOOn

Answers

Answer:

whats the question? ill answer in comments

Step-by-step explanation:

I would love to help but you needed to put the image so we can help you :) .

the reciprocal of 7/11 is

Answers

Answer:

11/7, you just turn or flip the fraction.

Step-by-step explanation:

the reciprocal of 7/11 is 11/7
which would equal 1
*cuz 7/11 times 11/7 equals 1*

13
Find the scale factor

Answers

12/x = 15/8

96 = 15x

x= 6.4 or 32/5
X=6.4 I hope it’s correct

If h(x) = 3x + 4, what is h(2x - 3)?

Answers

Answer:

6x-5

Step-by-step explanation:

3(2x-3)+4

6x-9+4

6x-5

Answer is 6x-5

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