Find the slope of the line that passes through the points (2,-10) and (-4,2).

Answer:

40 inches long

Step-by-step explanation:

In order to find the shortest possible track that they can both have but still be equal in length, we need to find the least common multiple of their train track pieces. In order to do so, we simply write out the multiplication table of each of their pieces' length until we find a common number, like so

8*1 = 8                  20*1 = 20

8*2 = 16                20*2 = 40

8*3 = 24

8*4 = 32

8*5 = 40

Now we have found the first common multiple which is a value of 40 meaning that the shortest train track that they can build with the same length would be a track that is 40 inches long

sqrt((x2-x1)^2+(y2-y1)^2)

Answer:

a)sol...A/Q

x+130=180(Sum of angles on a straight line is 180 degree)

=>x=180-130

=>x=50

Hrnce,the value of x is 50 degree.

b)sol...A/Q

[tex]circumference\ of\ circle=2\pi y\\

2\pi r=2\pi y\\

r= \frac{2\pi y }{2\pi} \\

Hence,r=radius=y[/tex]

Answers:

None of the five lines are horizontal or vertical

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

Explanation:

Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).

Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.

The other four questions are handled the same way.

A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.

A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.

Side note: something like y = x+6 is the same as y = 1x+6

9514 1404 393

Answer:

  g(x) = (x +1)^2 +3

Step-by-step explanation:

You know that the transformation ...

  g(x) = f(x -h) +k

moves the f(x) graph h units to the right and k units up. In this problem, we have h=-1 (1 unit left) and k=3 (3 units up), so the transformation is ...

  g(x) = f(x +1) +3

Since f(x) = x^2, the equation for g(x) is ...

  g(x) = (x +1)^2 +3

Answer:

XCVI in Hindu Arabic  numerals.​ is 96 (100-10+5+1)

Answer:

im not sure if im entirely correct, so i apologize in advance

<HDF

<BDG (i think)

<CDE

Step-by-step explanation:

The angles that are adjacent and congruent to ∠ BDC​ are ∠ HDF , ∠EDH and ∠CDE.

A figure is given in the question.

We have to tell about angles which are congruent to ∠ BDC.

What are the adjacent angles ?

The two angles are said to be adjacent angles when they share the common vertex and side.

As per the definition of adjacent angles ;

we can check for the adjacent angles from the figure.

Here ;

∠ BDC =  ∠ HDF.

∠ BDC =  ∠ EDH.

∠ BDC = ∠ CDE.

To check , if these are congruent too ; we must know that two angles are congruent when they have the same angle measurement, i.e., they’re equal.

if we compare from the figure ; we found that these angles are also congruent to each other.

Thus , the angles that are adjacent and congruent to ∠ BDC​ are ∠HDF , ∠EDH and ∠CDE.

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90%

because 540,000/600,000 = 0.9

and 0.9 multiplied by 100 = 90

Hope this helps!

Answer:

90%

Step-by-step explanation:

540,000 x 100 / 600,000 = 90

Answer:

30, 31, 32, 35, and 38

Step-by-step explanation:

Answer:

44444444444444444

Step-by-step explanation:

Answer:

As OP bisects ∠AOR, ∠AOP = ∠POR = 55°

So, ∠AOR = ∠AOP + ∠POR = 55° + 55° = 110°

As OS bisects ∠ROB, ∠ROS = ∠SOB = x

As total angle on a line is 180°,

110° + x + x = 180°

=> 2x = 70

=> x = 35°

∠POS = ∠POR + ∠ROS = 55° + x = 55° + 35°

=> ∠POS = 90°

Answer:

1 1 250(1.035)t

2 12 250(1.002896)12t

3 52 250(1.0006635)52t

4 365 250(1.0000938)365t

Step-by-step explanation:

From Plato

The complete details is shown below:

Interest, in its most simple form, is calculated as a percent of the principal.

Given:

r = 0.03425, and n = 365

P = 250.

                                          Table

Expression for the Amount of Money             Number of Times Interest

after t Years                                                       is Compounded per Year

                                                                                  Account

250(1.035)                                                                    1

250(1.002896)12                                                        12

250(1.0000938)365+                                               365

So,

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Answer: yeah I got it right Tyson

Step-by-step explanation:

9514 1404 393

Answer:

  2r(20r +60) = 80r^2

Step-by-step explanation:

Anna's first investment:

  20

Anna's first return:

  20r

Anna's second investment:

  20r +60

Anna's second return:

  r(20r +60)

__

Hannah's first investment:

  80

Hannah's first return, and her second investment:

  80r

Hannah's second return:

  80r^2

__

Twice Anna's return was equal to Hannah's return:

  2r(20r +60) = 80r^2

Answer:

Answer:

90-46=54

Step-by-step explanation:

Answer:

None of the above.

Step-by-step explanation:

16/5 is equal to 3.2

If you calculate a.) The answer comes out to negative so no

b.) Answer comes out to negative again so no

C.) None of the above YES

Because none of them have a positive outcome like the original

Answer:

−2.6

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

[tex](x_{m} ,y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]

(17,1) & (-9,3)

x₁ = 17, x₂ = -9

y₁ = 1, y₂ = 3

1). [tex]\frac{17+(-9)}{2}[/tex], [tex]\frac{1+3}{2}[/tex]

2). (4, 2)

Answer:

x = number of hours to train plan a clients

x = 0.55 hour

y = number of hours to train plan b clients

y = 0.87 hours

Step-by-step explanation:

Friday

Plan a = 8 clients

Plan b = 3 clients

Total hours = 7

Saturday

Plan a = 3 clients

Plan b = 5 clients

Total hours = 6

Let

x = number of hours to train plan a clients

y = number of hours to train plan b clients

8x + 3y = 7 (1)

3x + 5y = 6 (2)

Multiply (1) by 5 and (2) by (3)

40x + 15y = 35 (3)

9x + 15y = 18 (4)

Subtract (4) from (3)

40x - 9x = 35 - 18

31x = 17

Divide both sides by 31

x = 17 / 31

= 0.548 hour

Approximately

x = 0.55 hour

Substitute x = 0.55 hour into (1)

8x + 3y = 7

8(.55) + 3y = 7

4.4 + 3y = 7

3y = 7 - 4.4

3y = 2.6

Divide both sides by 3

y = 2.6 / 3

= 0.867 hours

Approximately

y = 0.87 hours

x = number of hours to train plan a clients

x = 0.55 hour

y = number of hours to train plan b clients

y = 0.87 hours

The solution of the multiplication of the 250 x 15 will be 1250 + 2500. The correct option is D.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

When we multiply a multiplicand by one digit of a multiplier that has more than one digit, the result is known as a partial product.

Given numbers 250 and 15. The multiplication will be done as below:-

 250

 x 15

--------

1250

2500

--------

3750

Therefore, the solution of the multiplication of the 250 x 15 will be 1250 + 2500. The correct option is D.

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[tex]36-16p^{2}[/tex]

Apply Difference of Two Squares Formula

(6-4p)(4p+6)=[tex]6^{2}[/tex]-([tex]4p^{2}[/tex])

BUT

(6-4p)(4p+6)

is already in the expanded form you probably want to simplify it.

Answer:

A

Step-by-step explanation:

Answer:I’m gonna say 4 and 6

Step-by-step explanation:

Because they are not congruent because if they where congruent it would have been 1/7

Answer:

4x - 43

Step-by-step explanation:

7x - 28 - 3x - 15

7x - 3x - 28 - 15

4x - 43

The simplified expression is 4x - 43.

The correct option is A.

A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.

As per the information provided, it is given that,

7(x - 4) - 3(x + 5)

Expanding the brackets and simplifying, we get:

7(x - 4) - 3(x + 5)  = 7x - 28 - 3x - 15

7(x - 4) - 3(x + 5)  = 4x - 43

Therefore, the expression is 4x - 43.

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Answer:

C) 145 degrees

Step-by-step explanation:

angles 2 and 5 are same side interior angles, which means they're supplementary. (they add together to make 180)

using that, you can make the following equation:

(x is angle 2 to avoid confusion)

35 + x = 180

subtract 35 from both sides

x = 180 - 35

x = 145

Answer:

x =29.6

Step-by-step explanation:

Let x be the number

x+20

2(x+20) = 99.2

Divide each side by 2

x+20 = 99.2/2

x+20 = 49.6

Subtract 20

x = 49.6-20

x =29.6