why is the slope between any two points on a straight line always the same?

Answers

Answer 1

Answer:

because it never changes.


Related Questions

Predict a ranking for the speed of sound in four different substances: steel, 25°C air, 50°C air, and water. Use the kinetic theory of matter to defend your predictions.

Answers

Based on the principles of kinetic theory, the speed of sound in matter is determined by the mean free paths of the molecules that make up the matter and the properties of the material itself.

What is speed?

Velocity is the speed at which an object moves or changes position over a period of time. It is usually measured in units such as meters/second, miles/hour, kilometers/hour. It is an important factor in the movement of objects and the movement of sound, light and other forms of energy. Speed ​​is also an important factor in transport safety, as it affects how long it takes a vehicle to stop and how far it must travel to stop safely.

Predict the ranking of sound speeds for four different materials.

Steel, 25°C air, 50°C air and water. Use the theory of motion of matter to protect your predictions.

Therefore, the speed of sound varies greatly depending on the material. Below is the ranking of the speed of sound for the four substances listed. From fastest to slowest:

1. 25°C Air: The speed of sound in warm air at 25°C is the fastest of the four substances, and because air is made up of both light and heavy molecules, it can travel quickly. The speed of sound in warm air at 25 °C is about 343 m/s.

2. 50°C air: The speed of sound in air at 50°C is slower than in air at 25°C. This is because molecules in warm air spread out more and move more slowly. The speed of sound in air at 50 °C is approximately 331 m/s.

3. Water: Water molecules are denser and move slower, so the speed of sound in water is slower than in air. The speed of sound in water is approximately 1,482 m/s.

4. Steel: The speed of sound in steel is the slowest of the four substances. This is because steel is composed of heavier molecules that move slower than those in air and water.

Overall, the order of sound velocities for the four materials is air at 25°C, air at 50°C, water, and steel. This classification is based on the principle of kinetics that the speed of sound in a material is determined by the mean free paths of the molecules that make up the material and the properties of the material itself.

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Help I don’t know how to do this

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]3*2^t[/tex]

When 't' is 1:

[tex]3*2^1\\\\3*2\\\\\boxed{6}[/tex]

When 't' is 4:

[tex]3*2^4\\\\3*16\\\\\boxed{48}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

3 time 2 with the power of t

You see the given values, 1 and 4?

All you need to do is replace those values with 1 and 4.

3 x 2 with the power of 1.

2 times the power of one is just 2 because you aren't multiplying it with another 2.

So, 3 times 2 is 6.

3 x 2 with the power of 4

2 x 2 x 2 x 2 = 16

It's not 2 times 4; it's 2 times the power of 4-- which means we multiply the number by itself depending on the given value we're given.

I hope this helps!

What are the dimensions of this shape in terms of the dimensions of the circle?

Answers

The diameter or radius of the circle is the dimension of a circle.

What is a circle?

The circular line is drawn equidistant from the center point of a circle, which is a two-dimensional geometry object on a plane.

A geometrical rule states that the dimension of an object with n dimensions is n+1. For instance, a square is made up of line segments that are 1d and a cube is built up of squares that are 2d. The circle is therefore 2d or two-dimensional space since it is made up of 1d diameters.

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Answer:

The length of the parallelogram is half of the circumference of the circle, and its height is equal to the radius of the circle.

Step-by-step explanation:

The temperature today will be 2 times lower than last year's temperature on the same day. What will today's temperature be if it was -8.2° last year?

Answers

Answer:

Two times lower than last year's temperature

Let today's Temperature be x

x/2 = -8.2°

x = -8.2°*2

x = -16.4°✓

NEED HELP CLICK TO SEE LINKS WILL GET REPORTED

Answers

you don’t have a calculator?
-9
-42
-100
4
-40

The diagram shows a triangle.
13.4 cm
1
7.6 cm
Work out the area of the triangle.

Answers

Answer:

50.92

Step-by-step explanation:

13.4 x 1 x 7.6=101.84

101.84÷2=50.92

I think that might be it but if I am wrong I am sorry that is just what I learned

Answer:

31.0

Step-by-step explanation:

 13.4

+17.6

=====

31.0

5. Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

Answers

Answer:  0.8268y

The decimal value is exact without any rounding.

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

Explanation:

If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78

An increase of 6% leads to 100%+6% = 106% and that converts to 1.06

Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.

Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.

---------

Extra info:

The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%

This means Jackson is getting a real discount of 17.32% after the taxes have been considered.

Can y’all help me on question 11?!

Answers

Answer:

B and D

Step-by-step explanation:

B.

5 x 9 + 7 = 52

45 + 7 = 52

52 = 52

D.  

6 x 9 + 4 = 58

54 + 4 = 58

58 = 58

Which equation has two solutions? A. W=-1. B. W=1. C. W=-2. D. W=0

Answers

Answer:  An equation has two solutions when it has two distinct values that can be assigned to the variable to make the equation true.

In this case

equation A. W=-1 is a single solution

equation B. W=1 is a single solution

equation C. W=-2 is a single solution

equation D. W=0 is a single solution

So none of the given equations have two solutions. they all have only one solution.

It's worth mentioning that, if the equation is a quadratic equation (in the form of ax² + bx + c = 0) and it has a non-zero discriminant (b² - 4ac) then the equation will have two distinct real solutions.

In this case the equations are not in that form, and also doesn't show any signs of having two solutions.

Step-by-step explanation:

Find m and b of y
= mx + b.
1
X
1
3
10.9
5
14.5
7
19.8
10
26.0
15
35.2
y / 6.4​

Answers

Answer:

m = 2.25

b = 4.15

Step-by-step explanation:

Let us consider the points (1, 6.4) & (3, 10.9)

Slope (m) = (10.9 - 6.4)/(3 - 1) = 4.5/2 = 2.25

Now, by point slope formula of a line, we have:

[tex] y - y_1 = m(x - x_1) [/tex]

[tex] \therefore y - 6.4 = 2.25(x - 1)[/tex]

[tex] \therefore y - 6.4 = 2.25x - 2.25[/tex]

[tex] \therefore y = 2.25x - 2.25+6.4[/tex]

[tex] \therefore y = 2.25x + 4.15[/tex]

Equating it with y = mx + b, we find:

m = 2.25

b = 4.15

You might need:
Calculator
10
Find the arc length of the semicircle.
Either enter an exact answer in terms of TT or use 3.14 for and enter your answer as a decimal.
units

Answers

Find the arc length of the semicircle either s

simplify -1.5 (-3.6 +2)

Answers

Answer:

2.4

Step-by-step explanation:

Add -3.6 and 2 inside the bracket. Then multiply the result by -1.5.

[tex]-3.6 + 2 = -1.6\\-1.5(-1.6) = 2.4[/tex]

Note: Two negatives make a positive.

Step-by-step explanation:

(-1 5x-3.6)+(-1.5x2)

=5.4+-3

=5.4-3

=2.4

Which statement best explains the relationship between
lines FG and HJ?
O They are perpendicular because their slopes are
equal,
O They are perpendicular because their slopes are
negative reciprocals,
O They are not perpendicular because their slopes are
equal,
• They are not perpendicular because their slopes are
not negative reciprocals.

Answers

Answer:

You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.

Step-by-step explanation:

They are perpendicular because their slopes are equal - Doesn't make sense, they would be parallel not perpendicular

They are perpendicular because their slopes are negative reciprocals - Makes sense

They are not perpendicular because their slopes are equal - Makes sense but it does not explain their relationship as well as the statement above

They are not perpendicular because their slopes are not negative reciprocals - Makes sense since that's how perpendicular lines work.

Conclusion, since we can't see the lines. You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.

If you add a picture I can narrow it down.

How do you undo addition

How do you undo subtraction

How do you undo multiplication

How do you undo division?

Answers

Answer:

To undo addition, you need to subtractto Undo subtraction, you need to addto undo multiplication, you need to divideto undo division, you need to multiply

Basically perform the opposite operation in order to undo a given operation

Step-by-step explanation:

r
Assignment
and
A rectangular patio is 10.2 mlong
6.8 m wide
a calculate the area of the patio
If hes cost # 3500
the cost of thing the patio
c If the cost of labour is at 1300 /m2.
Calculate the amount paid for the
per m2, calculate
patio​

Answers

Answer:

a) 69.36 square meters

b) 242,760 cost of tiles

c) 332,928 total paid for patio

Step-by-step explanation:

A rectangular patio is 10.2 m long 6.8 m wide

a) calculate the area of the patio

b) If tiles cost # 3500/m^2, calculate the cost of tiling the patio

c) If the cost of labour is 1300 /m2.

Calculate the amount paid for the patio​

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

Area of the patio is length x width:

10.2 x 6.8 = 69.36 square meters

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

Tile cost = area x cost of tiles/square meter :

69.36 x 3500 = 242,760

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

Labour cost = area x cost of labour/square meter:

69.36 x 1300 = 90,168

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

Total paid for the patio = cost of tiles + cost of labour

= 242,760 + 90,168 = 332,928

-50 POINTS- Already asked 3 times someone help pls. Don’t guess either.

Answers

Answer:

To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).

(5x3)+(nx4)=5(3+4) write each missing number.

Answers

Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.

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Answers

Answer:

.

<_>

.

()_()

.

Step-by-step explanation:

Solve each equation for both variables help please

Answers

Answer:

x=2 y= -1

Step-by-step explanation:

Took me 5 minutes to write steps and unfortunately it disappeared. I am so sorry. But the answer is correct

Math- algebra 1 - please help

Answers

For both pizzas A and B to cost the same, there must be 5 toppings. Equations can be categorized as identities or conditional equations.

what is equation ?

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two equilateral triangles and an equivalent sign in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear model is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables.

given

number of toppings be x

number of toppings for pizza A = $10 + x*$1.5

number of toppings for pizza B = $12.5 + x*$1

10 +1.5x = 12.5 + x

10 -12.5 = x- 1.5x

-2.5 = - 0.5x

x = 5

For both pizzas A and B to cost the same, there must be 5 toppings.

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This Venn diagram has three regions. In which region does any rectangle belong? A B C

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Trace triangle JKL and point P.

Draw the dilation of AJKL

using scale factor 3 and P

as the center of dilation,

Answers

The dilation of triangle JKL, with point P at the origin and scale factor of 3, is graphed on the image shown at the end of the answer.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The coordinates of the vertices of the original triangle JKL for this problem are attributed as follows:

J(1,1).K(1,5).L(4,1).

The scale factor of the dilation is given as follows:

k = 3.

Meaning that each coordinate of each vertex of the triangle will be multiplied by 3, thus obtaining the coordinates of the vertices of the image of triangle JKL after the dilation, as follows:

J'(3,3).K'(3,15).L'(12,3).

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Can y’all help me on question 24?!

Answers

23. 56
24. 523.78
25. 6.3

Aftab pays £3.10 per concrete slab. (b) How much will it cost Aftab to buy enough concrete slabs to make the patio?​

Answers

To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.

In 3 billion repetitions of an experiment, a random event occurred in 500 million cases.

The probability of the event is 1.
True or False

The probability of the event is 0.
True or False

What is the expected probability of this event?


What is the expected probability of the complement of the event?

Answers

Answer:

The probability of the event is 1. False

The probability of the event is 0. False

What is the expected probability of this event?

The probability of the event is (500 million successful events) / (3 billion total repetitions) = 0.1667 or 16.67%.

What is the expected probability of the complement of the event?

The complement of the event is the event not happening. The probability of the event not happening is (3 billion total repetitions - 500 million successful events) / (3 billion total repetitions) = 0.8333 or 83.33%.

Uday Tahlan

Find 45% of 60???????

Answers

Answer:

27

Step-by-step explanation:

To find 45% of 60, you can multiply 60 by 0.45

60 x 0.45 = 27
45% of 60 is 27.

given the points (5,7)and(2,4)
find the equation passing through
these points​

Answers

Answer:

y=x+2

Step-by-step explanation:

Im going to start by presuming its a linear equation so the formula is:

y=mx+n so now we just make a simulanious equation:

7=5m+n

4=2m+n

which we subtract to get

3=3m

m=1

then we plug it into the first equation

7=5+n

n=2

so the equation is:

y=x+2

What is the area of the triangle? 20 16 12 heh sorry !!!!!!​

Answers

Answer:

96 units^2

Step-by-step explanation:

The formula for the area of a triangle: b*h/2

b= 12

h= 16

Work:

12*16/2

192/2

96 uints^2

Answer:

[tex] {96} \: cm[/tex]^{2}

Step-by-step explanation:

Hope it is helpful...

Find the missing measure. Round to the nearest tenth (first decimal place)
15
26°
x

Answers

The missing measure of the given right-angled triangle is: x = 2.5

How to find the measure?

Given a right-angled triangle, with one of its angle as 14° ,assume

angle y= 14°. Also given length of one of it's side is 18. Let's assume the side as z = 18.

As it is given it's a  right-angled triangle,

∴ By using trigonometric formula,

 tan y = opposite /adjacent

∴ tan 14° = z/x

 tan 14°  = 18/x

 7.24 = 18/x                   ......( as tan 14°= 7.24)

∴ x = 2.48

∴ x ≈ 2.5

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50 x 40 x 40 x 40000000000 x 3000000000 x 5000000000000000 x 10000202000

Answers

Answer:

4.800097e+50

Step-by-step explanation: multiply

Answer:

4.800097e+50

Step-by-step explanation:

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