Please answer fast will make you brainlest

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

0 = 5x^2 + 32x - 336

Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

Length = 2(28/5) + 8 = 56/5 + 8 = 96/5

In conclusion,

Length = 96/5 inches

Width = 28/5

Answer:$11.90

Step-by-step explanation:

Divide 59.50 by 5

Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation:

Answer:

  19. -3

  20. 4

  21. 6/7

Step-by-step explanation:

Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.

  19. x = 6/4(-2) = -3

  20. x = (12/6)(2) = 4

  21. x = (3/7)(2) = 6/7

Answer:

Positive product

Step-by-step explanation:

The distance between Spearfish and Madison is 390 miles.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a mileage chart.

Assume that the distance between Spearfish and Madison is [x] miles.

Then the point of intersection of Spearfish row and Madison column would give the distance between both of them as 390 miles. So, we can write -

x = 390 miles

Therefore, the distance between Spearfish and Madison is 390 miles.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ5

Answer:

13

Step-by-step explanation:

14x-1=x+12

13x=13

x=1

x=12

1=12

=13

Answer:

13

Step-by-step explanation:

use a ruler on this one. its super easy.

not saying to do it all the time, but for this one it is ok

Answer:

A

Step-by-step explanation:

It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.

Answer:

No does not contain the same length

Step-by-step explanation:

Given that

A(-4,2) , B (1,4), C (2, -1)

Now

AB would be

= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]

And, BC is

[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]

As we can see that the AB and BC are not equaled

So,

AB ≠ BC

Due to the different length

Therefore they do not contains the same length

We simply applied the distance formula due to which the length could be determined and the same is to be considered

Answer:

a) Combined amount of truffles and caramels bought

b) Amount of money spent in total on both truffles and caramels

Answer:

The value for the original mean = 32

Step-by-step explanation:

Here, we want to calculate the original value of the mean.

Let the number of samples be n

Mathematically;

mean = Total value/n

Now, we added 8 to each of values; total value added = 8 * n = 8n

Now, for the new mean of 40; we have

(Total value + 8n)/n = 40

Total value + 8n = 40n

Total value = 40n -8n

Total value = 32n

kindly recall from the beginning of the solution;

mean = Total value/n

mean = 32n/n

mean = 32

So the original value of the mean is 32

Answer:

Step-by-step explanation:

3 + 2x + 1 = 2x + 3

2x + 4 = 2x + 3

4 ≠ 3

no solution

Answer:

7,200 minutes.

Step-by-step explanation:

5 days * (24 hours / 1 day) = 5 * 24 hours = 120 hours

120 hours * (60 minutes / 1 hour) = 120 * 60 minutes = 7,200 minutes.

Hope this helps, and I love your art!

Answer:

7,200

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y  + 3 = 7x - 7

y = 7x - 10

Answer:

x =5

Step-by-step explanation:

[tex]7x + 15 - 9x = 5\\\\\mathrm{Group\:like\:terms}\\7x-9x+15=5\\\\\mathrm{Add\:similar\:elements:}\:7x-9x=-2x\\-2x+15=5\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\-2x+15-15=5-15\\\\Simplify\\-2x=-10\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-10}{-2}\\\\Simplify\\x = 5[/tex]

Answer:

The Function is Decreasing.

Step-by-step explanation:

I hope this helps you :)

Answer:

I would also say that the function is decreasing.

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

When adding two numbers, you are combining their values.

In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.

Answer:27.85

divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price

Answer:

3,800

Step-by-step explanation:

Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."

Hope this helps and have a nice day!

Answer:

3,800

I hope this helps!

Hey there!

[tex]Answer:\boxed{y<-3}[/tex]

[tex]Explanation:[/tex]

[tex]9-y>12[/tex] Inequality

Let's start by simplifying both sides of the inequality.

[tex]-y+9>12[/tex]

Now subtract 9 from both sides.

[tex]-y+9-9>12-9\\-y>3[/tex]

Now divide both sides by -1.

[tex]\frac{-y}{-1}>\frac{3}{-1}[/tex]

[tex]y<-3[/tex]

Hope this helps!

Answer:

5.4 & 5.4

Step-by-step explanation:

CD²=5²+2²=29

CD=AB=5.4

Answer:

C) 5.4 and 5.4

Step-by-step explanation:

CD: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4

AB: 5²+2²=c² = 25+4=c² = 29=c² = c=√29 = 5.4

Answer:   t=24−i

Step-by-step explanation:

Answer:

86 ✌️

Step-by-step explanation:

just get a calculator

Answer: Just keep multiplying by 4 after 64 like multiply 64 times 4 and do that number times  and keep doing that until its the 9th answer :)

Step-by-step explanation:

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The 9th term of the geometric sequence 4, 16, 64, ... is 262,144.

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

The first term of the series is 4, while the ratio of the geometric sequence:

[tex]\rm Ratio, r = \dfrac{16}{4} = 4[/tex]

Thus, the 9th term of the geometric series can be written as,

[tex]a_n = a_1 \times r^{(n-1)}\\\\a_9 = 4 \times 4^8\\\\a_9 = 262,144[/tex]

Hence, the 9th term of the geometric sequence 4, 16, 64, ... is 262,144.

Learn more about Geometrical Series:

https://brainly.com/question/4617980

#SPJ2

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)

In addition, we get the following identities:

i) He has three more nickels than dimes

[tex]z + 3 = y[/tex] (Eq. 2)

ii) And five times as many pennies as dimes

[tex]x = 5\cdot z[/tex] (Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]

[tex]0.20\cdot z = 0.60[/tex]

[tex]z = 3[/tex]

The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

Answer:

Midpoint of a line segment

(xM,yM) = (4, 5).

Answer:

I think it's point (1.5,2).

Step-by-step explanation:

3 ÷ 2 = 1.5

4 ÷ 2 = 2

Answer:

It's 3.

Step-by-step explanation:

3x2=6

3x4=12

3x5=15