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Perpendicular equations have opposite reciprocal slopes, so any equation perpendicular to the equation y = 1/2 x - 2 would have the slope -2.

Now plug in the point (6, -3) into the equation y = -2x + b to find out what b is.

-3 = -2(6) + b

Multiply -2 by 6.

-3 = -12 + b

Add 12.

9 = b

So the equation is y = -2x + 9

Hope this helps

Answer:

Darrell is 12 years old while Darrell is 18 years old

Step-by-step explanation:

Let Myles age be m and Darrell age be d

Single Myles is older, m > d

Square Darrell’s age and multiply by 2; d^2 * 2 = 2d^2

Subtract from the square of Myles age

m^2 - 2d^2

Result is 6 times the difference between their ages;

m^2 - 2d^2 = 6(m-d) •••••••••••(i)

When add Myles and Darrell age

m+ d

you get 5 times the difference between their ages 5(m-d)

m + d = 5(m-d)

m + d = 5m - 5d

5m - m = 5d + d

4m = 6d

m = 6d/4

m = 1.5d or 3/2d ••••••••(ii)

Put ii into i

(3/2d)^2 - 2d^2 = 6(3/2d - d)

9/4d^2 - 2d^2 = 6(1/2)d

Multiply through by 4

9d^2 - 8d^2 = 12d

d^2 = 12d

d^2 - 12d = 0

d(d -12) = 0

d = 0 or d-12 = 0

d = 0 or 12

d = 12 years

The age cannot be zero (if Darrel age is zero, then Myles age will be zero too, this cannot work as their ages are not equal)

So we choose 12 years

Recall ; m = 3/2 d = 3/2 * 12 = 18 years

Answer: 6

Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)

Answer: i think is 8 also that person already explain

Step-by-step explanation: have a nice day

Answer:

y=1

Step-by-step explanation:

you add how many you went to one side

Answer:

x = 1

Step-by-step explanation:

Given

- 2x + 4 = 8x - 6 ( subtract 8x from both sides )

- 10x + 4 = - 6 ( subtract 4 from both sides )

- 10x = - 10 ( divide both sides by - 10 )

x = 1

Answer:

M/140 = 50/60

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

Answer:

????????????????????

Answer:

I think 11037 is a clue to tell what the murder is

Step-by-step explanation:

Answer:

Your answer is: y = 1/3x + 3

Use the formula y = mx + b

Step-by-step explanation:

Hope this helped : )

Answer:

The midpoint formula is ( (x1 + x2)/2, (y + y2)/2 ) The answer will be an ordered pair.

(-7 + 5)/2, (3 + 1)/2

(-2/2, 4/2)

(-1, 2)

The center of the circle is at (-1,2)

Answer:

Step-by-step explanation:

Decrease = 92 - 80 = 12

Percent of decrease in her score = [tex]\frac{12}{92}*100\\[/tex]

                                                       = [tex]\frac{1200}{92}\\[/tex]

                                                       = 13.04

                                                      = 13 %

Answer:

it would be a 12 percent

Step-by-step explanation:

Answer:   y = (1/2)x-2

This is the same as y = 0.5x-2

Slope = 1/2 = 0.5

Y intercept = -2

========================================================

Work Shown:

Compare the equation to y = mx+b to find that m = -2 is the slope.

Think of -2 as -2/1. Flip the fraction to get -1/2. Then flip to positive getting 1/2.

The original slope is -2. The perpendicular slope is 1/2 = 0.5

We'll use this perpendicular slope alone with (x,y) = (-4,-4) to get the following for b

y = mx+b

-4 = 0.5*(-4) + b ... plug in the m,x, and y values mentioned above

-4 = -2 + b

-4+2 = b ... adding 2 to both sides

-2 = b

b = -2

Since m = 0.5 and b = -2, we go from y = mx+b to y = 0.5x-2

This is the same as y = (1/2)x-2 since 1/2 = 0.5

The image of the floor dimensions is missing, so i have attached it.

Answer:

$88.92

Step-by-step explanation:

Looking at the attached floor plan, we have to divide it into two parts to solve easily.

To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m

Thus,bigger triangle measures; 3.6m x 2.4m

For the smaller triangle, dimensions are; 0.6m x 1.2m

Area of bigger triangle = 3.6 × 2.4 = 8.64 m²

Area of smaller triangle = 0.6 × 1.2 = 0.72 m²

Total area = 8.64 + 0.72 = 9.36 m²

Since the carpet costs $9.50 per sq.m.

Thus;

Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92

Answer:

Looks good ✋

Step-by-step explanation:

Answer:

it is correct

Step-by-step explanation:

I got 5,432,113,209,876,532

If a package requires 43 cents to mail, the number of 9 cent stamps that will be needed is 41cent  is the value needed.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

Identify the question that is being asked. Write the pertinent details in straightforward statements. Give values that need to be discovered symbols. Find the mathematical connections between the assertions.

The most well-known equation in the entire universe is E=mc2. Just like that. It is succinct, elegant, and expresses a phenomenon that is so important that everyone should be aware of it.

Given,

The equation will be:

7x + 9y = 43

7(2) + 9(3) =41

14+ 27 = 41

Since the value that's is gotten not equal to 43  

Therefore  The value is  41 cent  is needed to 9 cent stamps

To learn more about mathematical equation refer to:

https://brainly.com/question/2972832

#SPJ2

Answer:

37

Step-by-step explanation:

10,15,19,22,27,32,37,37,75

Answer:

Supplementary and Linear Pair

Step-by-step explanation:

The angles 1 and 2 form 180 degrees. That is the definition of a Supplementary Angle and Linear Pair.

Answer:

It is 54.29%.

Answer:

54.29

Step-by-step explanation:

Percentage Calculator: 462 is what percent of 851? = 54.29.

Answer:

12

Step-by-step explanation:

If you are saying "eight divided by two thirds", it would be written as 8/2/3. 8 would be equal to 8/1 and the rule for dividing fractions is keep change flip, so keep 8/1, change the division to multiplication, and then flip 2/3 to 3/2.

You would get 8/1 * 3/2. 8 multiplied by 3 is 24, 2 multiplied by 1 is 2, therefore, you get 24/2, which simplifies to 12 if you divide by 2.

Answer: B 4,5

Step-by-step explanation:

Answer:

270mi

Step-by-step explanation:

5.4/2 = 2.7

2.7 * 100 = 270

Answer:

2.5

Step-by-step explanation:

Divided them

Answer:

For a rectangle of length L and width W, the area is:

A = L*W

In this case, we start with:

L = 14ft

W = 10ft

Then the initial area is:

A = 14ft*10ft = 140ft^2

a) Now she wants to increase the same amount in each measure, then the new measures will be:

L = 14ft + x

W = 10ft + x

Now we want this new area to be twice the one that we got before, then the equation will be:

(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.

b) Let's solve the equation:

(14ft + x)*(10ft + x) = 280ft^2

First lets distribute the multiplication:

140ft + x*10ft + 14ft*x + x^2 = 280ft

Now let's group terms with the same power of x.

x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.

x^2 + 24ft*x  - 140ft = 0.

Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.

[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]

Then the two solutions are:

x = (-24ft - 33.7ft)/2 = -28.9 ft

This solution is negative, so it does not make sense and we can discard it.

x = (-24ft + 33.7ft)/2 = 4.85ft

This is positive, so we can use this.

Now we can find the new length and width:

L =  14ft + 4.85ft = 18.85ft

W = 10ft + 4.85ft = 14.85ft

Answer:

It will have a y-intercept of -3 and a rise of 2 and a run of 1.

Step-by-step explanation:

We can use a graphing calculator to help us graph for y = 2x - 3.

Attached below is the graph.

Answer:

x = 7/12

Step-by-step explanation:

Write the expression in exponential form with the base of 2

[tex]2x^{3x-3}[/tex]  = [tex]32^{3x-2}[/tex]

[tex]2^{3x-3}[/tex]  = [tex]2^{15x-10}[/tex]

Since the bases are the same, set the exponents equal

x - 3 = 15 - 10

Move variable to the left-hand side and change its sign

3x - 15x - 3 = -10

Move constant the the right-hand side and change its sign

3x - 15x = -10 + 3

Collect like terms

-12x = -10 + 3

Calculate the sum

-12x = -7

Divide both sides o the equation by -12

x = 7/12

Solution

7/12

Alternate form

x = 0.583

Answer:

Our X and Y make (2,-1)

Step-by-step explanation:

To find the point that is the solution for the system of equation, we must use the SUBSTUITION property,

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

Now let's solve this, by adding common terms

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

Now we have to isolate the variable,

3x-3=3

Add 3 to both sides (opposite of the current)

3x=6 (DIVIDE three to both sides, to isolate the variable)

x=2 ( We know our x value is 2)

Now let's substitute this value into the Y.

y = 2-3 ( now subtract)

y= -1

Our X and Y make (2,-1)

Answer:

I believe that it is A

Step-by-step explanation:

Step-by-step explanation:

Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:

[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]

Por lo tanto, la primera caja contiene 56 cajas más pequeñas.

Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:

[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]

Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.

Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:

[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]

Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.

La cantidad que quede en la casilla original se expresará como

= 448- (56 + 168 + 224)

= 448-448

= 0

Por lo tanto, no quedó ninguno en la caja original.

Answer:

d=r*2

πtimes the diameter

Step-by-step explanation:

diameter is twice the radius

there is nothing like that

Answer:

E. Definition of Supplementary Angles

Step-by-step explanation:

Answer:

6. Miles  [tex]{}[/tex]     cientos       decenas      unidades

  4   [tex]{}[/tex]              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  [tex]{}[/tex]     cientos       decenas      unidades

4   [tex]{}[/tex]              9                5                   6

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

Lado del cuadrado para Fernando = √12 = 2 · √3 cartones

Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹