How do you construct a perpendicular bisector of Class 9?

In mathematics, a differential equation is an equation involving one or more functions and their derivatives. The derivative of a function defines the rate of change of the function at some point.

According to the given Question:

Differential equation:

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.  In applications, a function generally represents a physical quantity, a derivative its rate of change, and a differential equation defines the relationship between the two. Such relationships are common. Therefore, differential equations play an important role in many fields such as engineering, physics, economics and biology.

The study of differential equations consists primarily of studying their solutions (the set of functions that satisfy each equation) and the properties of those solutions. Only the simplest differential equations can be solved with explicit formulas. However, many properties of solutions to particular differential equations can be determined without exact computation. In many cases, when a closed formula for the solution is not available, the solution can be approximated numerically using a computer. Although the theory of dynamical systems focuses on qualitative analysis of systems described by differential equations, many numerical methods have been developed to determine solutions with some degree of accuracy.

A first-order linear differential equation is an equation that can be written in the form y0 + p(x)y = q(x). where p and q are continuous functions on the interval I. The second-order linear differential equation has a similar form.

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Answer: the total spent on the meal is $88.25875.

Step-by-step explanation:

The total spent on the meal can be calculated by adding the cost of the meal, the tax, and the tip.

First, we need to calculate the cost of the tax: 72.5 x 0.0675 = 4.88375

Then we need to calculate the cost of the tip: 72.5 x 0.15 = 10.875

Finally, we add the cost of the meal (72.5), the tax (4.88375) and the tip (10.875) to find the total cost of the meal: 72.5 + 4.88375 + 10.875 = 88.25875

Therefore, the total spent on the meal is $88.25875.

Answer:

46.28

Step-by-step explanation:

i did pemdas

Answer:

-11/12

Step-by-step explanation:

Answer:f = 57 g = 33

Step-by-step explanation:

Add f and g together and make them equal 90 and then solve for x and plug x back in to both angles 57 and 33

Answer:

m<F + m<G + m<H=180°[Sum of angles of traingle is Supplementary]

or,90°+(4x +13)°+(2x +11)°=180°

or,6x + 24°=180°-90°

or,6x=90°-24°

or,X=66°/6

:.X=11°

Now,

m<F=(4x+13)°=(4×11+13)°=57°

m<G=(2x+11)=(2×11+11)°=33°

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Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

On solving the provided question we can say that based on the provided graph obtaining a doctorate after earning a master's degree.

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things.

so here,

based on the provided graph  obtaining a doctorate after earning a master's degree.

High education is generally highly valued by employers. People with greater education tend to be seen as candidates with a larger variety of skill sets than other candidates with lower level of education, which would positively affect their income level (although this may not always be the case).

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The correct question is -

Based on the information provided in the graph, for which of the following situations could you expect to have the greatest increase in salary? a. Having a high school diploma and going to college for a year. b. Having an associate’s degree and getting a bachelor’s degree. c. Having a bachelors degree and getting a master’s degree. d. Having a master’s degree and getting a doctorate degree.

A reflective pronoun is a pronoun  formed with -self or -selves that refers to the subject. Hence, option B is correct.

When a pronoun is used to refer to the same noun as both the subject and the object of a verb, it is known as a reflexive pronoun. The pronouns that in English finish in "self" or "selves" are things like "himself," "myself," "ourselves," etc.

Words like myself, you, him, her, it, ourselves, ourselves, and yourselves are examples of reflexive pronouns. They make a reference to someone or something. When the subject and the object of a verb are the same, reflexive pronouns are frequently used. I cut myself yesterday night while preparing dinner.

Thus, option B is correct.

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The antithesis of an exponential function is a logarithmic function. A logarithmic function and an exponential function both use the same base.

Writing y = log2 x or f(x) = log2 x represents the logarithmic function for the equation x = 2y. Even today, the base is still 2. Y equals log base b of x, or more simply, "y equals log to the base b of x," is how y = logb x is typically read. Similarly to exponential functions, b > 0 and b 1.

Consequently, the table's data is represented by the logarithmic function f(x) = log3(x).

Table provided:

                    x           f(x)

                    25          2

                   125          3

                   625         4

We can write x in this case as powers of 5, so that

[tex]$25=5^2$$125=5^3$$625=5^4$$\Rightarrow f(x)=5^{f(x)}$[/tex]

After dividing the log in half, we now have

[tex]$\log x=\log 5^{f(x)}$$\Rightarrow \log x=f(x) \log 5 \ldots .\left[\log (a)^m=m \log (a)\right]$[/tex]

[tex]$\Rightarrow f(x)=\frac{\log x}{\log 5}$$\Rightarrow f(x)=\log _5 x \ldots \ldots\left[\log _a b=\frac{\log b}{\log a}\right]$[/tex]

A base-log function [tex]$f(x)=\log _5 x$[/tex], then, reflects the data in the table.

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Therefore , the solution of polynomials problem is Grouping technique using the greatest common factor (GCF) and others given below.

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

There are several methods for factoring polynomials, but the most common methods are:

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Answer:

  (c)  3x√(6x) -x⁴√(30x) +24x²√2 -8x⁵√10

Step-by-step explanation:

You want to simplify the product ...

  [tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5})[/tex]

As with a lot of problems of this type, the correct answer choice can be selected by examining a term or two.

Multiplying the last two terms of the binomials, we get ...

  [tex]4\sqrt{8x^3}\cdot (-x\sqrt{5x^5})=-4x\sqrt{40x^8}=-4x\sqrt{10(2x^4)^2}=\boxed{-8x^5\sqrt{10}}[/tex]

This term is only found in choice C.

__

Additional comment

The expression is simplified by making use of the radical relations ...

  (√a)(√b) = √(ab)

  √(a²b) = a√b

The given expression can be rewritten with squares taken out of the radicals as ...

  (x√6 +8x√(2x))·(3√x -x³√(5x))

Then, using FOIL or the distributive property, we have ...

  = 3x√(6x) +24x²√2 -x⁴√(30x) -8x⁵√10 . . . . . matches C

Answer: The ratios do form a proportion. The cross products are equal (16 * 22 = 26 * 12)

Step-by-step explanation:

When an image is enlarged using a scale factor between 1 and 1, the image does not change in size.

A scale factor of 1 means that the image is not being enlarged or reduced in size; it is remaining the same size. Therefore, the image will appear the same as it did before the enlargement.

A scale factor of less than 1 means that the image is being reduced in size, and a scale factor greater than 1 means that the image is being enlarged in size. But when it comes to scale factor between 1 and 1, the image will not change in size, it will appear the same as it was before.

It's important to note that when you're enlarging an image using a scale factor that's less than 1, the image becomes smaller but when you're using a scale factor greater than 1 the image becomes larger.

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Answer:

2.5 Tons to lb

1 ton = 2,000 lb

2.5 tons x 2000 lb = 5,000 lb

No, Eric will not have enough banana bread to serve all 20 guests if he bakes only 3 loaves.

Eric is making banana bread to serve 20 guests, and he wants each guest to have 1/6 of a loaf. This means that each loaf will be divided into 6 equal portions, and each guest will receive one of these portions.

Eric plans to bake 3 loaves of banana bread. As 1 loaf can serve 6 guests with 3 loaves he can serve a total of

3×6 = 18 < 20

So only 18 guests can be served with 3 loaves of bread.

--The question is incomplete, complete question is given below--

"Eric is making banana bread to serve 20 guests. He want each guest to have 1/6 of a loaf. If he bake 3 loaves of banana bread will eric have enough banana bread to serve all 20 guests?"

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A substitution reaction is a reaction in which one group of molecules gets replaced by another group of molecules in an aqueous medium.

The substitution reactions are classified into three groups,

In the nucleophilic reactions the atom is said to be rich in electron , whereas, in the electrophilic reaction, the atom is known to be  an electron-deficient species.

The primary difference between substitution and elimination reactions is that substitution reactions replace one group with another, whereas elimination reactions merely remove the group. The main distinction between the groups is the number of stages involved in the reaction.

Example , R-Br + OH− → R-OH + Br−

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Answer: ok what is it

Step-by-step explanation:

The product of two complex numbers, with a result of 821, is given as follows:

(26 + 12.04i)(26 - 12.04i) = 821.

Complex numbers are numbers that are composed by a real part and by an imaginary part, and have the notation given as follows:

z = a + bi.

In which:

The most important complex numbers relation is given as follows:

i² = -1.

Meaning that the easiest way to obtain the desired product is multiplying complex-conjugate numbers, as follows:

(a + bi)(a - bi).

Applying the subtraction of perfect squares, we have that:

(a + bi)(a - bi) = a² - (bi)²

(a + bi)(a - bi) = a² - b²i²

(a + bi)(a - bi) = a² + b² (as i² = -1).

Then, attributing a = 26, the value of b is obtained as follows:

a² + b² = 821

26² + b² = 821

[tex]b = \sqrt{821 - 26^2}[/tex]

b = 12.04.

Meaning that the product is given as follows:

(26 + 12.04i)(26 - 12.04i) = 821.

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The nearest whole number to which the new height of the image is enlarged is 9cm.

What is meant by height?

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12) The new height is 9cm it was originally 4cm wide and 3cm tall, scale factor is 3.

14) The new width is 12cm it was originally 2cm tall  and 4cm wide, scale factor is 3.

In mathematics, a scale factor is the proportion between corresponding measurements of an object and a representation of that object. The copy will be bigger if the scale factor is a whole number. A fraction scale factor means that the copy will be smaller.

To increase an object by a scale factor, measure each side of the object and multiply the result by the scale factor. A 2x2 cm square is presented to you.

Increase the square by a scale factor of 2.

To do this, multiply each side by 2.

The result is a 4x4cm square.

12) scale factor = 12/4

scale factor = 3

14) scale factor = 6/2

scale factor = 3

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The required two-column proof that the triangles are congruent is explained below.

A triangle is a three sided plane shape whose the sum of internal angles is 180^o. Thus two or more triangles are said to be congruent when their corresponding sides and measure of internal angles are equal.

When two triangles are congruent, it can be proven in all respect that they are thus equal (considering their corresponding length of sides and measure of internal angles).

The two column proof required in the question is given below:

        STATEMENT                                     JUSTIFICATION

1. <WXZ ≅ <YXZ                                  Property of an angle bisector.

2. <XZW  ≅ <XZY                                Definition of a perpendicular bisector.

3. WX ≅ YX                                          Congruent sides of a triangle.

4. WZ ≅ YZ                                           Definition of a midpoint.

Therefore,

ΔWXZ ≅  ΔYXZ                                    Angle-Angle-Side theorem

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The domain of the graphed function in this problem is given as follows:

2 <= x <= 5.

The domain of a function is the set composed by all the input values that the function accepts.

On the graph, the domain of the function is given by the values of x.

For this problem, the values of x are a closed interval between x = 2 and x = 5, hence the domain of the function is defined by the interval presented as follows:

2 <= x <= 5.

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Answer:

Triangle: 15 cm

Rectangle: w = 2.5 cm

Step-by-step explanation:

Rectangle: A = w · l

2.5 · 6 = 15cm

Triangle: A = hᵇb/2 = 6 · 5/2 = 15 cm

I hope this helps!

Answer:

It is a function

Step-by-step explanation:

The vertical line test proves that it’s is a function because there is no place on the graph where a vertical line would pass through two points.

The constant of proportionality, given that this is a proportional relationship, is 11. 7

To find the constant of proportionality, the following formula is used :

= Y value / Corresponding x value

The constant of proportionality can only be found for proportional relationships.

In this instance, we have x and y of ( 7, 81. 9 ).

The constant of proportionality is:

= 81 .9 / 7

= 11. 7

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By solving the given inequality in question, i.e -8+2x>4 , the solution obtained is x>6, which means the inequality satisfies for all the values of x that are greater than 6.

An inequality is a statement that compares two values and asserts that one value is greater than, less than, or not equal to the other value. Inequalities are used to describe a range of values that a variable can take on. The most common symbols used to express inequalities are ">", "<", "≥" and "≤", which represent "greater than", "less than", "greater than or equal to" and "less than or equal to" respectively.

An example for inequality can be , the inequality x > 2 , which states that x is greater than 2, which means that any value of x that is greater than 2 satisfies the inequality.

Inequality can be solved either graphically or algebraically. The solution of an inequality is the set of all values that make the inequality true.

To solve the inequality -8 + 2x > 4, you can follow these steps:

So the solution of the inequality is x > 6.

This means that x is greater than 6. So any value of x that is greater than 6 satisfies the inequality.

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On solving the provided question, we can say that we have two triangle, in which only one angle is same and all other angles and sides are not equal, so they are not similar.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have two triangle,

in which only one angle is same and all other angles and sides are not equal, so they are not similar.

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Answer:

10 and 16

Step-by-step explanation:

let on number be x then the other number is x + 6

sum the 2 numbers and equate to 26

x + x + 6 = 26

2x + 6 = 26 ( subtract 6 from both sides )

2x = 20 ( divide both sides by 2 )

x = 10

x + 6 = 10 + 6 = 16

the 2 numbers are 10 and 16