What is the distance formula?
~A. √(x₂-x₂)² + (1/₂2 - 1₁₂) ²
~B.√(x₂ + x₁) ² − ( √₂ + ₁)²
~C. √√(x₂-x₁)+(1₂-₁)
~D. √(√₂-₁)²-(x₂-x₁1²
I need help please

As you can see, each number in the pattern is obtained by adding 4 to the previous number.

An equation is a mathematical statement that shows the equality of two expressions, usually with an equal sign "=" in between them. An equation can contain variables, constants, and operators. The variables are represented by letters and can take on different values, while constants are fixed values that do not change. Operators include mathematical symbols like plus, minus, multiplication, and division, as well as exponents and logarithms.

Here,

Sure, here's a pattern for the rule a + 4:

a = 1: 1 + 4 = 5

a = 2: 2 + 4 = 6

a = 3: 3 + 4 = 7

a = 4: 4 + 4 = 8

a = 5: 5 + 4 = 9

a = 6: 6 + 4 = 10

a = 7: 7 + 4 = 11

a = 8: 8 + 4 = 12

a = 9: 9 + 4 = 13

a = 10: 10 + 4 = 14

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Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

The points with possible solution to the system is (0, -1)

From the points;

(0, -1) represents (x, y)

x = 0

y= -1

y ⩽ 3x − 1

-1 ⩽ 3(0) - 1

-1 ⩽ -1

y ⩾ x− 1

-1 ⩾ 0 - 1

-1 ⩾ -1

For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

If the slope of the triangles is equal then triangle A is similar to triangle B.

In the statement  when we simplify

(5/3)=(15/9),

(5/3)=(5/3),

Then the reason for this statement is "If the slope of triangles are equal"

And the definition of slope in general is m = y/x.

Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

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Answer:

Step-by-step explanation:

Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

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Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

LAW=WKL

By rule: ASA|SAA

Step-by-step explanation

don't know how to explain it

The triangle LAW ≅ WKL by ASA congruence property.

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

We have to complete each congruence statement and name the rule used if cannot show the triangles are congruent from the given information leave the triangles name blank .

The triangle LAW ≅ WKL by ASA congruence

WL = WL (COMMON SIDE)

∠ALW = ∠KWL

∠AWL = ∠KLW

Also, These statements can be noted from the image.

Therefore, The triangle LAW ≅ WKL by ASA congruence property.

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The expression, the company can use to predict the value of the car is v =32000 (0.8)^t

The company which provides term life or accidental or death insurance in terms of money when one subjects to any of the conditions.

Given is an insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years.

The rate of interest r in percentage = 100 - 20 = 80%

If the value of a brand new car is  P =$32,000.00.

The value of car will be

value =  P x r^t

v = $32,000 x(0.8)^t

Thus, this is the expression insurance company uses to find the value of car.

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On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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The distance from the origin to the point (-15, 36) is 39 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Note: The origin is denoted by the coordinates (0, 0).

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-15 - 0)² + (36 - 0)²]

Distance = √[15² + 36²]

Distance = √[225 + 1,296]

Distance = √1,521

Distance = 39 units.

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The statement is true because 4 × 30%=120

In the first month, the price of the avocado is said to have been raised by 30 percent.

While already raised by 30 percent, another 30 percent raise would make the increase to be 60 percent.

While is at 60 percent, the third month the raise would be = 90 percent because 30 * 3 = 90

Then at 90 percent if there is another raise of 30 percent, the increase would grow to be 120 percent.

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Let x = number of heavy equipment operators

Let y = general laborers

134x + 98y = 4552

x + y = 38

We can now solve the above system of equation simultaneously using the substitution method

From the second equation,

y = 38 - x

Substitute the above into the first equation and solve for x

134x + 98(38 - x ) = 4552

Open the parenthesis

134x + 3724 - 98x = 4552

Rearrange

134x - 98x + 3724 = 4552

36x + 3724 = 4552

subtract 3724 from both-side of the equation

36x = 4552 - 3724

36x =828

Divide both-side by 36

x=23

substitute x=23 into y = 38 - x and evaluate

y = 38 - 23

y = 15

Hence, there are 23 heavy equipement operators and 15 laborers

The equation that best represents this relationship is y = 8x

The standard linear equation is expressed as y = mx + b

writing the given information in a coordinate form (x, y) will give (18, 144) and (22, 176)

Determine the slope "m"

Slope = 176-144/22-18
Slope = 32/4
Slope = 8

Detremine the y-intercept

144 = 8(18) + b

b = 144 - 144
b = 0
Hence the equation that best represents this relationship is y = 8x

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The side x of the triangular base prism is 0.4 centimetres.

The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,

c²= a² + b²

where

Therefore,

x² = 0.5² - 0.3²

x² = 0.25 - 0.09

x = √0.16

x = 0.4 cm

Therefore,

x = 0.4 centimetres.

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Answer:

½a - 4 = ? ( a - ?)

1a - 8 = -7a ( a - ?)

= ( a- 7a)

= ( -6a)

Answer:

418

Step-by-step explanation:

The given system of linear equations has a unique solution.

A linear equation is an algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.

Given that, a system of linear equations, ​ y = 5x+1 and y = -2x-8, we are asked to find how many solutions do they have,

The rule for a system of linear equations, ​a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are :-

​a₁ / a₂ ≠ b₁ / b₂, and the lines intersect at one only point.

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂, and the lines are parallel.

a₁ / a₂ = b₁ / b₂ = c₁ / c₂, and the lines overlaps.

Checking for the given equations,

y = 5x+1 and y = -2x-8

Converting into standard form of the linear equations,

5x-y +1 = 0 and 2x+y+8 = 0

5/2 ≠ -1

The equation is following the rule of unique solution, also the graph is intersecting at one point, [graph is attached]

Hence, the given system of linear equations has a unique solution.

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Answer:

One solution

Step-by-step explanation:

Answer:

1 7/16

Step-by-step explanation:

Let that blank be x

x + 1/16 =3/2

Then, find the common denominator:

3/2 - 1/16

LCM = 16

3/2 *8 = 24/16

24/16 - 1/16

Last, subtract:

23/16

OR

1 7/16

Hope this helps!

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Answer:

Destiny will be able to create 12 identical snack bags.

Step-by-step explanation:

Given that a snack bag will be 1 chocolate candy bar, and 1 cookie, we have to subtract 1 chocolate for every cookie she has, and that will leave us with 6 chocolate bars left. The equation for this is 18 - 12 = 6.

Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

Answer:

1800

Step-by-step explanation:

Well the easiest way to do this is just do

9 x 2 = 18 and since in 20 and 90 there are two zeroes, add two zeroes at the end of 18!

Answer:

its equals 1,800

Step-by-step explanation:

The percentage of the trip that is still ahead of you is 69.2%.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.

The percentage of the trip that is still ahead of you is calculated as,

P = [(25 - 7.7) / 25] x 100

P = (17.3 / 25) x 100

P = 0.692 x 100

P = 69.2%

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The radical function y = √(-x + 3) - 4 has domain  {x ∈ R I x ≥ 3} and range {y ∈ R I y ≤ -4}.

The correct option is 3.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

We have four functions:

1). y = -√(x - 3) + 4

2). y = -√(x + 3) - 4

3). y = √(-x + 3) - 4

4). y = √(-x - 3) + 4

When the value of the x is greater than or equal to 3.

Then we have only function 3 defined.

The domain of the function 3 is {x ∈ R I x ≥ 3}

And the range of the function 3 is {y ∈ R I y ≤ -4}

Hence, the required function is y = √(-x + 3) - 4.

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Answer:

12x10,000x.10: answer divide 6,000

Step-by-step explanation:

it will be 10,000 dollars for the 10,000 x pay 1.25 x=10.012.5 which means divide 2 equals 6000

The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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Answer:

If it's supposed to have no solution, I think you can just use an extreme number, like -30 or something.

Answer: x=38

Step-by-step explanation:

x+(-15)=23

x-15=23

+15  +15

x=38

When there is a positive and negative sign the negative sign cancels the positive sign.

Answer:

38

Step-by-step explanation:

23+15=38 because in order to get 23 from -15 a negative number you need to have 38 to silence the -15.