Can someone help me with this?

Answer:

8.6 units

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = B(1, 6) and (x₂, y₂ ) = C(8,1)

d = [tex]\sqrt{(8-1)^2+(1-6)^2}[/tex]

  = [tex]\sqrt{7^2+(-5)^2}[/tex]

  = [tex]\sqrt{49+25}[/tex]

  = [tex]\sqrt{74}[/tex] ≈ 8.6

[tex]\bf \stackrel{~~ solutions~\hfill }{ \begin{cases} x=7\implies &x-7=0\\ \cline{1-2} x=-5\implies &x+5=0 \end{cases}}\qquad \implies \stackrel{\textit{factored form}}{y=(x-7)(x+5)}[/tex]

Answer:

y = (x - 7)(x + 5)

Step-by-step explanation:

Given the solutions are x = 7 and x = - 5 then the factors are

(x - 7) and (x + 5)

The quadratic equation is the product of the factors

(x - 7)(x + 5) = 0 ← in factored form

Answer is D

use the factor method to get the answer

x^2-36=0

x^2-6^2=0

(x-6)(x+6)=0

x=6 or -6

Answer:

x≥9

Step-by-step explanation:

First you need to take 3 from both sides.

5x + 3 -3 ≥ 48 -3 which is 5x ≥ 45

Then you need to divide both sides by 5.

5x÷5 ≥ 45÷5 with gives the answer x ≥ 9

The solution to the given inequality (5x+3 ≥48) is x ≥ 9

To solve an equation or an inequality, we will determine the value of the variable in the equation or inequality.

From the question,  

To solve the given inequality 5x+3 ≥48

We will determine the value of the variable x, that satisfies the inequality.

Now, to do this

First, subtract 3 from both sides, that is

[tex]5x+3-3 \geq 48-3[/tex]

We get

[tex]5x \geq 45[/tex]

Now, divide both sides by 5

[tex]\frac{5x}{5} \geq \frac{45}{5}[/tex]

[tex]x\geq 9[/tex]

Hence, the solution to the given inequality is x ≥ 9

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Answer:

2, or any negative number

Step-by-step explanation:

For the first one x=2

Answer:

2112 Steps

Step-by-step explanation:

It would take her 2112 step to walk for 1 mile

Answer:

-2; 16

Step-by-step explanation:

Rewrite the equation [tex]x^2-14x+31=63[/tex] as:

[tex]x^2-14x+31-63=0\\ \\x^2-14x-32=0[/tex]

Now use the quadratic formula:

[tex]D=b^2-4ac\\ \\D=(-14)^2-4\cdot 1\cdot (-32)\ \ [a=1,\ b=-14,\ c=-32]\\ \\D=196+128=324=18^2[/tex]

Now

[tex]x_{1,2}=\dfrac{-b\pm\sqrt{D}}{2a}\\ \\x_{1,2}=\dfrac{-(-14)\pm\sqrt{18^2}}{2\cdot 1}=\dfrac{14\pm18}{2}=\dfrac{-4}{2},\ \dfrac{32}{2}=-2,\ 16[/tex]

Answer:

x = 16 or x = -2

Step-by-step explanation:

Points to remember

Solution of a quadratic equation  ax² + bx + = 0 is given by

x = [-b ± √(b² - 4ac) ]/2a

To find the solution of equation

We have x² - 14x + 31 = 63

x² - 14x + 31 - 63 = 0

x² - 14x - 32 = 0

a = 1, b = -14 and c = 32

x = [-b ± √(b² - 4ac) ]/2a

 = x = [- -14 ± √((-14)² - 4*1 * (-32)) ]/2*1

 = [14 ± √324]/2

x = -2 or x = 16

Answer: i think it’s the last one

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{2}x+\frac{7}{2}[/tex]

Step-by-step explanation:

Slope-intercept form is given by  y = mx + b

We need to re-arrange the equation given to have y to the left side of the equal sign (in other words, solve for y). Steps are shown below:

[tex]-3x+2y=7\\2y=3x+7\\y=\frac{3x+7}{2}\\y=\frac{3x}{2}+\frac{7}{2}\\y=\frac{3}{2}x+\frac{7}{2}[/tex]

the last answer is correct.

For this case we have that the line equation of the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

We have the equation:

[tex]-3x + 2y = 7[/tex]

By adding 3x to both sides of the equation we have:

[tex]-3x + 3x + 2y = 7 + 3x\\2y = 3x + 7[/tex]

Dividing between 2 on both sides of the equation:

[tex]\frac {2y} {2} = \frac {3x} {2} + \frac {7} {2}\\y = \frac {3x} {2} + \frac {7} {2}[/tex]

ANswer:

Option D

Answer:

192

Step-by-step explanation:

32 days would be 80×32=2560

and 2560-2368= 192

So if the humpback were to travel for 32 days it would travel 192 miles more than the gray whale.

Answer:

8 billetes de 20

17 billetes de 10  

Step-by-step explanation:

Answer:

17 $10s y 8 $20s

Step-by-step explanation:

Answer:40

Divide 120 by 3

so lets simplify this equation to do it mentally

turn 120=12

now  12÷ 3=4

the zero from 120 will be added to 4

because of the tens place it becomes 40

hope this helps! if so please leave a brainliest.

that is, the length down the middle of the melon is 18.

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=18 \end{cases}\implies 18=2\pi r\implies \cfrac{18}{2\pi }=r\implies \cfrac{9}{\pi }=\boxed{r} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{surface area of an sphere}\\\\ A=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} \boxed{r}=\frac{9}{\pi } \end{cases}\implies A=4\pi \left( \cfrac{9}{\pi } \right)^2\implies A=4\pi \cdot \cfrac{81}{\pi ^2} \\\\\\ A=4\cdot \cfrac{81}{\pi }\implies A=\cfrac{324}{\pi }\implies A\approx 103.13\implies \stackrel{\textit{rounded up}}{A=103}[/tex]

Answer:

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n).

Step-by-step explanation:

The polar coordinates can be written as (r,Ф)= (r,Ф+2nn) or (r,Ф) =(-r,Ф+(2n+1)n) and n is any integer value.

We are given p=(1,-pi/6)

P(r,Ф), then r = 1 and Ф = -pi/6

The polar coordinates will be

P(r,Ф)= (r,Ф+2nn)  = (1 , -pi/6 + 2nn) and n is any positive integer and the value of r is positive.

P(r,Ф) =(-r,Ф+(2n+1)n) = (-1, -pi/6+(2n+1)n) and n is any positive integer and the value of r is negative.

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n)

Answer: 16,503,616 leagues²

Step-by-step explanation:

Assume that the Earth is a sphere. Then, you need to use the formula for calculate the surface area of a sphere:

[tex]SA=4\pi r^2[/tex]

Where r is the radius.

Divide the diameter by 2 to calculate the radius of the Earth:

[tex]r=\frac{2,292\ leagues}{2}\\r=1,146\ leagues[/tex]

Substituting values into the formula  [tex]SA=4\pi r^2[/tex], you get that the total surface of the Earth to the nearest whole number is:

 [tex]SA=4\pi (1,146\ leagues)^2=16,503,616\ leagues^2[/tex]

The correct answer is that the total surface area of Earth is approximately 510 million square kilometers.

To calculate the total surface area of Earth, we can use the formula for the surface area of a sphere, which is [tex]\( A = 4\pi r^2 \)[/tex], where r is the radius of the sphere. Since the diameter of Earth is given as 2292 leagues, we first need to convert leagues to kilometers. Historically, one league was approximately 5.556 kilometers.

 Using this conversion, the radius of Earth in kilometers is:

[tex]\[ r = \frac{2292 \text{ leagues} \times 5.556 \text{ km/league}}{2} \] \[ r = \frac{2292 \times 5.556}{2} \] \[ r = 1146 \times 5.556 \] \[ r \approx 6337.536 \text{ km} \][/tex]

Now, we can calculate the surface area using the radius:

[tex]\[ A = 4\pi r^2 \] \[ A = 4\pi (6337.536 \text{ km})^2 \] \[ A = 4\pi (404,089,630.24 \text{ km}^2) \] \[ A \approx 4\pi (4.04 \times 10^9 \text{ km}^2) \] \[ A \approx 4 \times 3.14159 \times 4.04 \times 10^9 \text{ km}^2 \] \[ A \approx 50.26548 \times 10^9 \text{ km}^2 \] \[ A \approx 5.026548 \times 10^{10} \text{ km}^2 \][/tex]

Rounding to the nearest whole number, the total surface area of Earth is approximately 510 million square kilometers.

Answer:

Step-by-step explanation:

=10y - 5 = 3y - 12

=7y - 5 = -12

=7y = -7

y = 1

Answer:

y = -1

Step-by-step explanation:

to solve this equation, you would solve for y by isolating y on one side of the equation

5(2y - 1) = 3(y - 4) < distribute 5 into 2y - 1 and 3 into y - 4

5(2y - 1)

5 x 2y = 10y

5 x - 1 = -5

= 10y - 5

3(y - 4)

3 x y = 3y

3 x -4 = -12

= 3y - 12

we get the new equation:

10y - 5 = 3y - 12 < add 12 to both sides to eliminate -12 from the right side

+ 12              + 12

10y + 7 = 3y < subtract 10y from both sides

-10y        -10y

7 = -7y < divide both sides by -7 to isolate y

7/-7 = -1

-7y/-7 = y

-1 = y

our solution to the equation is y = -1. we can see if this is an answer by plugging it in and seeing if both sides are equal, but its not necessary. i will show the check anyway:

CHECK

5(2y - 1) = 3(y - 4) when y = -1

5(2(-1) - 1) = 3((-1)- 4)

5(-2 - 1) = 3( -1 - 4)

5(-3) = 3(-5)

-15 = -15

both sides check out so y = -1 is a solution to the equation

Answer:

Option A

Step-by-step explanation:

Suppose ∠I = 30° in ΔHIF,

∴ ∠F = 60°

Now consider the ΔGFH,

∠G = 90° and ∠F = 60°

∴ ∠GHF = 30°

Also in ΔGHI,

∠G = 90° and ∠I = 30°

∴∠GHI = 60°

∴ ΔGFH ≈ ΔGIH ≈ ΔHIF

Answer:

a

Step-by-step explanation:

Height = x

Length = x - 1

Width = 2x + 2

And it's said that height = 4 feet

So, x = 4

Then:

H = 4

L = 4 - 1 = 3

W = 2.4 + 2 = 10

The volume is:

V = 4 . 3 . 10

V = 120 ft³

The value of x is 5.

Given:

Recall:

Thus,

The following equation can be created to solve for the value of x:

[tex]m\angle R + m\angle M = 90[/tex]

[tex]55 + 5x+10 = 90\\[/tex]

[tex]5x + 65 = 90[/tex]

[tex]5x = 90 - 65\\\\5x = 25[/tex]

[tex]x = 5[/tex]

Therefore, the value of x is 5

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https://brainly.com/question/15592900

Answer:

12 + 12 + 60 + 216 = 300 ft squared

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

First find the area of the rectangle which would be 18 times 12. This will give you 216 for the rectangle. To find the area of the trapezoid you would  add the base of the trapezoid for top and bottom. 10+18. This will give you 28. Next divide it by 2. This will give you 14. Now multiply 14 by the height of the trapezoid which is 6. This will give you 84 for the trapezoid. Now add the rectangle and the trapezoid 84+216=300. The area of the figure is 300.

Answer:

How big is the carpet though.

Step-by-step explanation:

You will just times the square foot by $2.50 to get an answer.

If it is 4 square feet then just go 4 times $2.50 = $10

Answer:

11,400.0

Step-by-step explanation:

There needs to be 40 employees per every 3 supervisors, so this means multiplication, or division, but I went with the multiplication route.

285 x 40 = 11,400.

11,400 / 40 = 285.

The reason I multiplied 285 by 40 is because the supervisors was the main piece to the puzzle, and was much easier than if it gave you employees first, and that's when you'd divide by 3.

If there's 285 supervisors, you have the full amount of supervisors, now you need employees, so you are free to multiply by 40, since thats how many supervisors are available every 40 employees. I hope this helps.

To solve this problem, we'll first establish the ratio of employees to supervisors as given by the company policy. The policy states that for every 40 employees, there must be 3 supervisors.
To find the number of employees that can be supervised by a single supervisor, we'll divide the number of employees by the number of supervisors in that ratio.
So, for every 3 supervisors, there are 40 employees. We want to know how many employees would be there per 1 supervisor. Thus, we divide 40 (the number of employees) by 3 (the number of supervisors):
Number of employees per supervisor = \( \frac{40 \text{ employees}}{3 \text{ supervisors}} \)
Now, if there are 285 supervisors at the company, we can find out the total number of employees by multiplying the number of supervisors by the number of employees per supervisor.
Therefore, the total number of employees \( E \) is:
\( E = 285 \text{ supervisors} \times \frac{40 \text{ employees}}{3 \text{ supervisors}} \)
The "supervisors" unit cancels out, and we are left with only the "employees" unit.
Now let's do the multiplication. We divide 40 by 3 and then multiply the result by 285:
\( E = 285 \times \frac{40}{3} \)
Calculating that results in:
\( E = 95 \times 40 \)
\( E = 3800 \)
Thus, the company has 3,800 employees.

The sum of the numbers is 156.

The sum of a set of numbers can be calculated by multiplying the mean by the total number of elements in the set. In this case, the mean is 13 and the total number of elements is 12. Therefore, the sum of the numbers is 13 multiplied by 12, which is 156.

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To find the sum of 12 numbers with a mean of 13, we multiply the mean by the number of numbers, resulting in a sum of 156.

If the mean of a set of 12 numbers is 13, we can find the sum of the numbers using the formula for the mean.

The formula for the mean  is : Mean = Sum of Numbers / Number of Numbers

Given:

Mean = 13

Number of Numbers = 12

We need to find the sum of the numbers:

Sum = Mean x Number of Numbers

Substitute the given values:

Sum = 13 x 12

Sum = 156

This means the sum of the 12 numbers is 156.

Answer:

Step-by-step explanation:

If the price is linear, then the slope between each pair of points must be the same.

m = Δy/Δx

m = (150 - 70) / (5 - 1) = 20

m = (450 - 150) / (20 - 5) = 20

m = (1050 - 450) / (50 - 20) = 20

So the equation is indeed linear.  It has a slope of 20 and y-intercept of 50.

p = 20n + 50

Answer:

12.5 cm

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

5 cm = 2 km

? cm = 5 km

5 cm = 2 km

( ÷ 2 )

2.5 cm = 1 km

( × 5 )

12.5 cm = 5 km

Answer:

Step-by-step explanation:

85=2x(x^2+3)(2x+5)

85=2x(2x^3+5x^2+6x+15)

85=4x^4+10x^3+12x^2+30x

4x^4+10x^3+12x^2+30x-85=0

2x^2(2x^2+5x+6)+30x-85=0

shoot, this isn't possible with quadratic, maybe you can get somewhere from here

Answer:

the answer is A

Step-by-step explanation: because the way you work out problems with parenthesis is Parenthesis Exponents Multiplication Division Adding Subtraction and what ever id in the parenthesis comes first

A is the correct answer as you should always do the expression that’s in parentheses first

Answer:

I believe it is 11.5 but I’m not 100% sure

Step-by-step explanation:

Answer:

[tex]160\ m^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of its six rectangular faces of the net

so

[tex]SA=2(2*4)+2(12*2)+2(12*4)\\ \\SA=16+48+96\\ \\SA=160\ m^{2}[/tex]

Answer:

160 m2

Step-by-step explanation:

Your answer Would be c

Your answer will be C