A perpendicular bisector is a line that intersects a segment of a line at its midpoint, forming two equal segments.
To construct a perpendicular bisector of a line segment in class 9, the following steps should be followed:
1. Draw the line segment and mark the midpoint of the segment.
2. Take a compass and place the point at the midpoint of the line segment.
3. Adjust the width of the compass such that it is slightly greater than half the length of the line segment.
4. Make an arc above and below the line segment.
5. Draw a line through the two points of intersection of the arc and the line segment. This line is the perpendicular bisector of the line segment.
The formula for the perpendicular bisector is (x - x1) / (x2 - x1) = (y - y1) / (y2 - y1), where (x1, y1) and (x2, y2) are the coordinates of points on the line segment.
To calculate the perpendicular bisector of the line segment:
1. Calculate the midpoint of the line segment using the midpoint formula (x1 + x2) / 2 and (y1 + y2) / 2.
2. Substitute the coordinates of the midpoint and the endpoints into the perpendicular bisector formula.
3. Solve the equation to find the equation of the perpendicular bisector.
Learn more about perpendicular bisector here:
https://brainly.com/question/12896755
#SPJ4
A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet?
Answer: 1,176 miles
Step-by-step explanation:
490 / 5 = 98 miles
98 mph X 12 hours is 1,176
Which rule describes the translation?
(x, y) → (x-8, y-3)
(x, y) → (x-3, y + 8)
(x, y) → (x+8, y - 3)
(x,y) → (x+3, y + 8)
Eric i making banana bread to erve 20 guet. He want each guet to have 1/6 of a loaf. If he bake 3 love of banan bread will eric have
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?"
To know more on fraction problems
https://brainly.com/question/17221180
#SPJ4
5
What is the slope of the line that contains the points -3,-
2
O
O
11
11
12
11
11
12
and (3, -8)?
Answer:
-11/12
Step-by-step explanation:
What are the 5 methods of factoring polynomials?
Therefore , the solution of polynomials problem is Grouping technique using the greatest common factor (GCF) and others given below.
What are polynomials?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:
Grouping: This method involves grouping the first two and last two terms of a polynomial and factoring out the greatest common factor (GCF) from each group.Factoring by GroupingFactoring by grouping is a method of factoring polynomials that is similar to factoring by grouping. The idea behind factoring by grouping is to group together the first two and last two terms of a polynomial and then factor out the greatest common factor (GCF) from each group.Factoring by Inspection: This method involves looking at a polynomial and seeing if it can be factored into two binomials of the form (x + a) or (x - a).Factoring by using the synthetic Division: This method involves dividing a polynomial by a linear factor using synthetic division, which can reveal a linear factor in the polynomial.Factoring by using the quadratic formula: This method involves factoring a polynomial of degree 2 by using the quadratic formula.Factoring by using the difference of squares: This method involves factoring a polynomial that is a difference of squares.Factoring by using the sum and difference of cubes: This method involves factoring a polynomial that is a sum or difference of cubes.To know more about polynomials visit:
brainly.com/question/11536910
#SPJ4
A reflective pronoun is a pronoun
formed with -self or -selves that is used for emphasis.
formed with -self or -selves that refers to the subject.
that is not formed with -self or -selves.
that is not plural or possessive.
A reflective pronoun is a pronoun formed with -self or -selves that refers to the subject. Hence, option B is correct.
What is reflective pronoun?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.
For more information about reflective pronoun, click here:
https://brainly.com/question/2780722
#SPJ1
Solve the inequality for x.
-8+2x>4
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.
What is inequality?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.
Give an example of inequality?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:
Add 8 to both sides of the inequality: -8 + 2x > 4 becomes 2x > 12Divide both sides of the inequality by 2 : 2x > 12 becomes x > 6So 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.
To Learn more about inequalities visit:
https://brainly.com/question/28823603
#SPJ1
please help with trigonometry hw
Answer: ok what is it
Step-by-step explanation:
HELPPPPPPP Answer 5 questions and get lots of Points
Based on the information provided in the graph, for which of the following situations could you expect to have the greatest increase in salary?
On solving the provided question we can say that based on the provided graph obtaining a doctorate after earning a master's degree.
What is graphs?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).
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
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.
(dy/dx) = e^(3x+2y)
solve the differential equation by separation of variables
solve the problems below
8.8x2.1
2.5+7.8
2(7.2)+3.1
Answer:
46.28
Step-by-step explanation:
i did pemdas
NEED HELP ASAP - Algebra 2 - 50 Points
Create two complex numbers a+bi, where b≠0, such that the product of your numbers is 821
The product of two complex numbers, with a result of 821, is given as follows:
(26 + 12.04i)(26 - 12.04i) = 821.
What are complex numbers?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:
a is the real part.b is the imaginary part.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.
More can be learned about complex numbers at https://brainly.com/question/10662770
#SPJ1
Let C2(R) be the linear pace of all function from R to R that have two continuou
derivative and let Sf be the et of olution u(x) ∈ C2(R) of the differential
equation
u′′ u = f (x)
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.
Learn more about Differential Equation:
https://brainly.com/question/14620493
#SPJ4
Use the vertical line test to determine whether the relation is a function. If not, identify two points a vertical
line would pass through.
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.
What is the domain of the graph?
The domain of the graphed function in this problem is given as follows:
2 <= x <= 5.
How to obtain the domain of the function?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.
More can be learned about the domain of a function at brainly.com/question/10687170
#SPJ1
Tell whether the ratios form a proportion.
16/12 & 26/ 22
The ratios _____ (do or do not) form a proportion. The cross products are _____ (state the cross product or state "not equal")
Response:
Answer: The ratios do form a proportion. The cross products are equal (16 * 22 = 26 * 12)
Step-by-step explanation:
10 POINTS UP FOR GRABS!!! SHOW YOUR WORKING!!! :)
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!
What is the answer for this I need help pls
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.
Help please! Triangle Proofs are so hard!
The required two-column proof that the triangles are congruent is explained below.
Properties of a congruent triangles.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
Learn more about properties of congruent triangles at https://brainly.com/question/29330337
#SPJ1
What logarithmic function represents the data in the table?
X f(x)
25 2
125 3
625 4
The antithesis of an exponential function is a logarithmic function. A logarithmic function and an exponential function both use the same base.
What is logarithm function?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.
To learn more about logarithm function refer to:
https://brainly.com/question/30128291
#SPJ1
one number exceeds (is more than) another number by 6, and the sum of the two numbers is 26. find the two numbers
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
r to the nearest whole number.
12) Huong enlarged the size of a painting to a
width of 12 cm. What is the new height if
it was originally 4 cm wide and 3 cm tall?
14) Bill enlarged the size of a photo to a
height of 6 cm. What is the new width if
it was originally 2 cm tall and 4 cm wide?
The nearest whole number to which the new height of the image is enlarged is 9cm.
What is meant by height?
Height is a mathematical term that refers to the vertical distance between an object's top and base.On sometimes, it has the designation "altitude." The measurement of an item along the y-axis in coordinate geometry is referred to as height in geometry.Below are a few mathematical illustrations of height.Height is a measurement of vertical distance, or how high something or someone is (how tall they are) (how "high" a point is).For instance, "That building is 50 meters high," or "An airplane flies around 10,000 meters high."the height of something above the ground or another level of your choice. At a height of 15,000 meters, we flew.To learn more about height refer to
https://brainly.com/question/73194
#SPJ1
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.
What is scale factor?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
Learn more about scale factor
https://brainly.com/question/30215119
#SPJ1
What are substitution reactions How are they classified give one example of each?
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,
nucleophilic substitution electrophilic substitution homolytic substitution.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−
To learn more about substitution reaction
brainly.com/question/10143438
#SPJ4
What happens to an image when it is enlarged using scale factor between 1 and 1?
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.
To learn more about the scale factor, visit:
brainly.com/question/30215119
#SPJ4
What is the following simplified product? Assume x ≥ 0.
(√6x² +4√8x³)(√x-x√√5x5
O3x√6x+x4√30x
+24x² √2x+8x5 √/10x
3x√6x+x4√30x +24x² √√2+8x5/10
3x6x-x√30x+24x²
√2-8x5 10
3x√6x-x√30x +24x² √√2x-8x5 /10x
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]
ChoicesAs 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
Please help for geometry here the photo
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°
*mark me brainliest
2. Examine the figure and answer the questions to determine whether or not the triangles shown are similar. What can
you conclude about the relationship between A ABC and A AB'C'. Explain your reasoning
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.
What is triangle?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.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Complete the conversion 2.5 T Lb
Answer:
2.5 Tons to lb
1 ton = 2,000 lb
2.5 tons x 2000 lb = 5,000 lb
HELP ASAP ( 15 POINTS)
The constant of proportionality, given that this is a proportional relationship, is 11. 7
How to find the constant of proportionality?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
Find out more on the constant of proportion at https://brainly.com/question/28413384
#SPJ1