What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6

Answer:

x=40 and y= 60

Step-by-step explanation:

step:1

Let 'x' and 'y' are two numbers

given data the sum of two numbers is 100

x+y = 100......(1)

Given difference of two numbers are

x - y = -20 ......(2)

Step :2

solving the equation (1) and (2)

adding the equations (1) and (2)

x+y+x-y=100-20

cancelling 'y' terms are

2 x = 80

dividing "2" on both sides, we get

x = 40

Step :3

substitute x = 40 in equation (1)

x + y =100

40 + y = 100

subtracting "40" on both sides, we get

40 + y - 40 = 100 -40

y = 60

Final answer:-

The two numbers are x = 40 and y= 60

Answer:

         [tex]\large\boxed{\large\boxed{8.06units}}[/tex]

Explanation:

The figure is a right triangle with:

Hence, you must use Pythagora's theorem, which is valid for all right triangles:

             [tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]

Substituting the data:

        [tex]hypotenuse^2=(7unit)^2+(4unit)^2=49unit^2+16unit^2=65unit^2[/tex]

Square root both sides:

         [tex]hypotenuse=\sqrt{65unit^2}=8.06unit[/tex]

Answer:

8.06

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

The slope of the line that passes through the points (-10, -4) and (10, -29) is calculated using the formula for slope and simplifying the resulting expression to yield a slope of -1.25.

In mathematics, the slope of a line that passes through two points (x1, y1) and (x2, y2) can be calculated using the formula: slope = (y2 - y1) / (x2 - x1). So, let's input the coordinates of our two points into this formula:

slope = (-29 - (-4)) / (10 - (-10))

This simplifies to: slope = (-29 + 4) / (10 + 10)

So we end up with: slope = -25 / 20

Finally, simplifying further gives us: slope = -1.25

Therefore, the slope of the line that passes through the points (-10, -4) and (10, -29) is -1.25.

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Answer:

( sin K = 1/2 ) would be right

Step 1) Identity two points on the boundary line.

Two such points are (0,7) and (1,5)

-----------------------------

Step 2) Find the slope of the line through those two points

m = (y2-y1)/(x2-x1)

m = (5-7)/(1-0)

m = -2/1

m = -2

The slope is -2

-----------------------------

Step 3) Use the point slope form to get the y = mx+b form

y - y1 = m(x - x1) ..... point slope form

y - 7 = -2(x - 0)

y - 7 = -2x

y = -2x+7

A quicker way is to just note that 7 is the y intercept as visually shown, so b = 7. Which allows us to go from y = mx+b to y = -2x+7

-----------------------------

Step 4) The boundary line is y = -2x+7. This is a dashed line so we will use either a less than sign, or a greater than sign. There will be no "or equal to" as part of the inequality sign.

The shaded region is below the dashed boundary line, so we use a less than sign.

Change y = -2x+7 into y < -2x+7

----------------------------

Step 5) Change into standard form (optional)

y < -2x+7

2x+y < 7 ... add 2x to both sides

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

The answer will depend on if you want slope intercept form or standard form.

Answer:

4c < 28

divide by 4 both sides

x < 7

Answer:

Independent variable is A.

Dependent variable is B.

The equation that can be used to represent the relationship is B. F=20c

Step-by-step explanation:

To answer the question, the independent variable is A. Number of friends (f). Because we know the cost is $20. And the dependent variable is B. because we know the cost so that's the dependent variable. The equation that can be used to represent this relationship is B. F=20c because we need to know how many friends are gonna be at Hank's party.

Final answer:

The probability that all 3 marbles rolled out are white is found by calculating the combinations of drawing 3 white from 6 white marbles over the total combinations of drawing 3 marbles from all 20 marbles, resulting in an answer of 1/57.

Explanation:

The student asks about the probability that all 3 marbles rolled out are white given the total numbers of red, white, and blue marbles in the bag. To find this probability, you apply the principles of combinatorics to calculate the likelihood of drawing 3 white marbles one after another without replacement from a set of 12 red, 6 white, and 2 blue marbles.

To solve this, you first determine the total number of ways 3 marbles could be drawn from the bag, which would be combinations of 20 marbles taken 3 at a time, noted as C(20,3). Then calculate the combinations of 6 white marbles taken 3 at a time, C(6,3). The probability is the ratio of these two combinations, so:

Probability = White marble combinations / Total possible combinations = 20 / 1140 = 1 / 57

The correct answer is B. 1/57.

Answer:

The answer is x = 8.

Step-by-step explanation:

LCD is the least common denominator of fractions. LCD represents the smallest number that can be used as a common denominator for a particular set of fractions.

The given equation is [tex]\frac{5}{2x} + \frac{1}{4} = \frac{9}{2x}[/tex]

Here we can take LCD as 4x because 4x is divisible by 2x as [tex]\frac{4x}{2x} = 2[/tex],  4x is divisible by 4 as [tex]\frac{4x}{4} = 1[/tex]

therefore we can write

[tex]\frac{5}{2x} + \frac{1}{4} = \frac{9}{2x} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} \frac{10}{4x} + \frac{x}{4x} = \frac{18}{4x} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} \frac{x + 10}{4x} = \frac{18}{4x}[/tex]

now we can eliminate the LCD from both sides of the equation and we get

x + 10 = 18    [tex]\therefore[/tex]      x  = 18 - 10       [tex]\therefore[/tex]    x = 8.

Answer:

m=-2

Step-by-step explanation:

-7 + -2 = -7 -2

-7 -2 = -9

Option A

The solution is [tex](0, \frac{-1}{4})[/tex]

Solution:

Given system of equations are:

3x + 6y = 1 ------ eqn 1

x - 4y = 1 ------ eqn 2

We have to find solution to system of equations

We can use substitution method

From eqn 2,

x = 1 + 4y -------- eqn 3

Substitute eqn 3 in eqn 1

3(1 + 4y) + 6y = 1

3 + 12y + 6y = 1

18y = 1 - 3

18y = -2

Divide both sides by 18

[tex]y = \frac{-2}{18}\\\\y = \frac{-1}{4}[/tex]

Substitute the above value of y in eqn 3

[tex]x = 1 + 4 \times \frac{-1}{4}\\\\x = 1-1\\\\x = 0[/tex]

Thus solution is [tex](0, \frac{-1}{4})[/tex]

Answer:

        [tex]80 + (8*4)/2[/tex]    [tex]=96[/tex]

Step-by-step explanation:

Given :

80 + (8 x 4) ÷ 2

                             [tex]80 + (8*4)/2[/tex]

This expression can be written in form of:

                      [tex]80+\frac{(8*4)}{2}[/tex]

Solving the expression further:  

                     [tex]80+\frac{32}{2}[/tex]

                [tex]=80+16[/tex]

                  [tex]=96[/tex]

So the value of the above expression after solving is 96

x = -0.6y + 5.6 is the answer

Answer:

Perimeter of each triangles are equivalent to 15.4 inches.

Step-by-step explanation:

Given:

A rectangle :

Length of the rectangle = 5 inches

Width of the rectangle =4 inches

As Bridget cuts it from one corner to the other corner,its forms two right angled triangle.

The diagonal will be treated as the hypotenuse.

Lets say that the length of the hypotenuse is 'x'.

Using Pythagoras formula:

⇒ [tex](hypotenuse) = \sqrt{(perpendicular)^2+(base)^2}[/tex]

Plugging the values:

⇒ [tex]hypotenuse = \sqrt{5^2+4^2}[/tex]

⇒ [tex]hypotenuse = \sqrt{25+16}[/tex]

⇒ [tex]hypotenuse =\sqrt{41}[/tex]

⇒ [tex]hypotenuse = 6.40[/tex]  inches

Now we have to find the perimeter :

Perimeter = Summation of length of all sides.

So,

Perimeter  of each triangle = (length + width + hypotenuse)

⇒ [tex]Perimeter =(5+4+6.4)[/tex]

⇒ [tex]Perimeter =15.4[/tex]  inches

Perimeter of each triangle, as they are equally sized are same that is   15.4 inches.                              

Answer:

1. A

2. A

3. D

Step-by-step explanation:

Stay safe❤️

Mona purchased 5 gallons of gas and 5 gallons of gas would give her 100 miles of driving.

Two or more expressions with an Equal sign is called as Equation.

Given that Mona stopped at a gas station where the price per gallon was $2.80

Mona spent $14 to fill up her car.

We need to find the equation would represent how much gas Mona purchased.

2.8x = 14 is the equation

Divide both sides by 2.8

x=5

Mona purchased 5 gallons of gas.

Now multiply 5 by the price per gallon of $2.80

5×2.8=14

Since Mona's car gets 20 miles per gallon, 5 gallons of gas would give her 100 miles of driving.

Hence, Mona purchased 5 gallons of gas and 5 gallons of gas would give her 100 miles of driving.

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Answer: 0.11

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100.

So we can think of 11% as the ratio 11 to 100 or 11 divided by 100.

Dividing by 100 moves the decimal point 2 places to the left so 11 divided by 100 would move the decimal point 2 places to the left which would give us .11 or 0.11.

So 11% can be written as the decimal 0.11.

Answer:

A value that satisfies this equation is called a root, zero or solution of the equation!! We have three ... Solve each by factoring. 1) x2 + 4x -5 = 0 ... Follow the explanation and sample problem to review completing the square.

Step-by-step explanation:

x^2 - 4x = 80

x^2 - 4x + 4 = 80 + 4 (Divide b, which is 4, by 2 and square it.)

x^2 - 4x + 4 = 84

sqrt(x + 2)^2 = sqrt(84)

x + 2 = plus or minus sqrt(84)

Subtract 2 from both sides

x = -2 plus or minus sqrt(84)

Answer:

3/5

Step-by-step explanation:

1/3s=1/5

s=(1/5)/(1/3)

s=(1/5)(3/1)

s=3/5

Answer:  s = 3/5 = 0.600

Step-by-step explanation:s = 3/5 = 0.600

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/3*s-(1/5)=0

Step by step solution :

Step  1  :

           1

Simplify   —

           5

Equation at the end of step  1  :

  1         1

 (— • s) -  —  = 0

  3         5

Step  2  :

           1

Simplify   —

           3

Equation at the end of step  2  :

  1         1

 (— • s) -  —  = 0

  3         5

Step  3  :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       3

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of: Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 1 0 1

5 0 1 1

Product of all

Prime Factors  3 5 15

     Least Common Multiple:

     15

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      s • 5

  ——————————————————  =   —————

        L.C.M              15  

  R. Mult. • R. Num.       3

  ——————————————————  =   ——

        L.C.M             15

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

s • 5 - (3)     5s - 3

———————————  =  ——————

    15            15  

Equation at the end of step  3  :

 5s - 3

 ——————  = 0

   15  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 5s-3

 ———— • 15 = 0 • 15

  15

Now, on the left hand side, the  15  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5s-3  = 0

Solving a Single Variable Equation :

4.2      Solve  :    5s-3 = 0

Add  3  to both sides of the equation :

                     5s = 3

Divide both sides of the equation by 5:

                    s = 3/5 = 0.600

One solution was found :

                  s = 3/5 = 0.600

BTW YOu can but the answer as 0.600 or 3/5

Answer:

Therefore the required resulting equation is

[tex]6x-15y=-63\\-15x+15y=90[/tex]

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

Step-by-step explanation:

Given:

[tex]2x-5y=-21[/tex]         ......................Equation ( 1 )

[tex]3x-3y=-18[/tex]         ......................Equation ( 2 )

To Find:

Expression after multiplying to eliminate y term,

Solution:

So to eliminate 'y' term we need to multiply equation 1 by a constant 3 and equation 2 by a constant -5,  such that equations  becomes

[tex]3(2x-5y)=3\times -21\\\\6x-15y=-63[/tex] .....( 1 )

[tex]-5(3x-3y)=-5\times -18\\\\-15x+15y=90[/tex]  .....( 2 )

so now by adding new equation one and two we can eliminate y term that means -15y and +15y will get cancel,

Therefore the required resulting equation is

[tex]6x-15y=-63\\-15x+15y=90[/tex]

6 x minus 15 y = negative 63.

Negative 15 x + 15 y = 90

Answer:

It's A

Step-by-step explanation:

Got it right on the test

Answer:

18 girls

Step-by-step explanation:

if the r 48 boys u know that 8 times 6 is 48. So now u have to multiply 6 on the other side. And this action would result in the number of girls to be 18

Answer:

2 points

Step-by-step explanation:

Answer:

THE ANSWER IS 2 POINTS

Step-by-step explanation:

A

P

E

X

Answer:

20 km

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

We can disregard the length of the line from the Library and the House, as Davina does not use that path at all.

We know that 1 unit on the grid represents 1 km. We define the lengths of the route from the graph:

Davina's House to School = 4 units = 4 km

School to Library = 6 units = 6 km

The entire trip Davina takes from House to Library would be 4 km + 6 km = 10 km total.

We also know that Davina takes the same route back from the Library to House. It would be the same exact route and length. Therefore:

2(10 km) = 20 km total

Answer:19.200

Step-by-step explanation:

19.200x1=19.200

[tex]\text{Hey there!}[/tex]

[tex]{\bf{Which\ expression\ is\ equivalent\ to \ 9^5?}[/tex]

[tex]\bf{Note: 9^5=59,049}[/tex]

[tex]\bf{Well, \ it\ is\ telling\ us\ that\ 9\ is\ expanded/expressed\ 5\ times}[/tex]

[tex]\bf{It\ CAN'T\ be\ option\ A. \ because\ 9\times 5\ because\ it\ equals \ 45}\\\\\bf{It\ CAN'T\ be\ option\ B.\ because\ the\ question\ is\ NOT\ asking\ 5^9}\\\\\bf{It\ CAN\ be\ option\ C.\ because\ it\ expressed\ the\ equation\ out }\\\\\bf{It\ CAN'T\ be\ Option\ D.\ because\ that\ equals\ 4,613,203,125\ and\ that\ is\ way\ too}\\\bf{big}[/tex]

[tex]\boxed{\boxed{\bf{Your \ answer:C. 9\times9\times9\times9\times9}}}\checkark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Final answer:

None of the given expressions are equivalent to g^5, as they all include the number 9. For a proper understanding, g^5 means multiplying g by itself five times (g x g x g x g x g). In exponentiation, such as (10²)³, exponents are multiplied to get the result (10&sup6;).

Explanation:

The expression g^5 represents g multiplied by itself 5 times. Looking at the given options, it is clear that none of them are equivalent to g^5 since they all involve the number 9, not the variable g. However, to understand the concept, if you were to express g^5 in a long form similar to the options, it would be g x g x g x g x g.

When discussing raising a number to an exponent, such as in (10²)³, you multiply the exponents, resulting in 10&sup6;. This comes from the law of exponents, which tells us that (a²)³ = a²×³. In this case, you would multiply 2 and 3 to get 6 as the new exponent for a.

This concept also applies to expressions inside parentheses raised to a power, affecting everything inside the parentheses. In the case of (27x³)(4x²), each term within the parentheses must be raised to the indicated power.

Answer:

the answer is F. because n x 30 would = 360 and the n would be 12 so he paid 12 dollars per ticket and I got that answer by dividing the two numbers 30 and 360

brainliest plz

The answer is F.

Given: Mr. Davis buys 30 tickets for the drama club to attend a play. The tickets cost n dollars each for a total of $360.

How to find out the equation that can be used to find n?

As n x 30 would = 360 and the n would be 12 so he paid 12 dollars per ticket and I got that answer by dividing the two numbers 30 and 360.

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Answer:

Step-by-step explanation:

Since they are supplementary, it means the addition of both angles gives 180 degree.

[tex]x - 15 + 2x = 180\\3x = 180 + 15\\3x = 195\\x = \frac{195}{3} \\x = 65[/tex]

Set up this equation: 180(n-2)=3780

n is the number of sides of the polygon

Solved:

180(n-2)=3780

n-2=21

n=23

So the polygon will have 23 sides, also called a 23-gon

Hope this helped!

Answer:

[tex](x+5)^{2}=-4(y+3)[/tex]

Step-by-step explanation:

Given:

Focus point = (-5, -4)

Vertex point = (-5, -3)

We need to find the equation for the parabola.

Solution:

Since the x-coordinates of the vertex and focus are the same,

so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.

The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.

Substitute y = -4 and k = -3.

[tex]-4 = -3+p[/tex]

[tex]p=-4+3[/tex]

[tex]p=-1[/tex]

So the standard form of the parabola is written as.

[tex](x-h)^{2}=4p(y-k)[/tex]

Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.

So the standard form of the parabola is written as.

[tex](x-(-5))^{2}=4(-1)(y-(-3))[/tex]

[tex](x+5)^{2}=-4(y+3)[/tex]

Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)

[tex](x+5)^{2}=-4(y+3)[/tex]

Answer:

$0.01455

Step-by-step explanation:

(2.25 in^3)/(2304 in^3) = 0.0009765625

2.25 is 0.0009765625 part of 2304. Therefore, 2.25 in^3 is worth 0.0009765625 of $14.90

0.0009765625 * $14.90 = $0.01455