The factor of 9x² 24xy 16y² is (3x−4y)²
A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, usually smaller or simpler things of the same kind.
Factorization in mathematics is the method of dividing a large number into tiny ones that, when multiplied together, give you the original number. Factorization is the split of a number into its factors or divisors.
9x²−24xy+16y²
=(3x)²−24xy+(4y)²
=(3x)²−2(3x)(4y)+(4y)²
Using (a−b)²=a²−2ab+b², we get
=(3x−4y)²
Factorization, also known as factoring, is the process of dividing or decomposing a thing into factors that, when multiplied together, form the original number, matrix, etc.
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A stock investment is increasing by 5% each year. If the original investment was $2,125, how much will it be worth after 10 years?
Type your answer as a decimal rounded to the nearest cent.
Using exponential function, The value after 10 will be P(10) = 2125.0.05¹⁰.
The exponential function: what is it?A mathematical function with the following form is an exponential function: f ( x ) = an x. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.
This is an exponential behavior expressed as:
P(t) = Abⁿ
P(t) = Ae^(n ln b)
Where P(t) is the worth after 10 years,
A is the original investment,
and b is the percentage (87% in this case).
From the problem, we identify:
A = 2125
b = 0.05
The final model is:
P(t) = 2125.0.05¹⁰
After 10 years (t = 10),
the investment will be (to the nearest whole number):
P(10) = 2125 ×0.05¹⁰
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In rDEF, ÐE = 90°, ÐF = 81°, and DE = 14. 6 ft. Find the length of EF, to the nearet tenth of a foot
The length of EF, to the nearest tenth of a foot is found to be 14.3 ft.
In rDEF, DE = 90°, DF = 81°, and DE = 14. 6 ft,
Because the given triangle is a right angled triangle, we can use the concepts of trigonometry in order to solve the given problem.
Using the trigonometric relation,
sin A = P/H
Where,
P is perpendicular and H is the hypotenuse.
We have, A = 81°,
It is given that the value of DE is 14.6 ft.
We know, sin(81°) = 0.98
So, the length of EF, to the nearest tenth of a foot is,
0.98 = EF/14.6
EF = 14.3 ft.
So, the length of the EF is 14.3 ft.
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Complete Question - In ΔDEF, ∠E = 90°, ∠F = 81° and DE = 14.6ft. Find the length of EF, to the nearest tenth of a foot.
How is the Declaration of Independence a reflection of the colonist’s motivations?
Answer: The Declaration of Independence, adopted by the Continental Congress on July 4, 1776, is a reflection of the colonists' motivations in several ways. Firstly, the Declaration states that the colonists believed that all men are created equal and have the right to life, liberty, and the pursuit of happiness. This reflects the colonists' belief in the Enlightenment principles of natural rights and individual liberty, which were influential in shaping their motivations for seeking independence from British rule.
Secondly, the Declaration cites a long list of grievances against King George III, accusing him of violating the colonists' rights and abusing his power. This reflects the colonists' growing frustration and anger towards British rule, which had been building for many years prior to the drafting of the Declaration.
Thirdly, the Declaration states that the colonists had attempted to resolve their differences with the British government through peaceful means, but that these efforts had been unsuccessful. This reflects the colonists' desire for a peaceful resolution to their issues, but their willingness to fight for their rights if necessary.
In summary, the Declaration of Independence reflects the colonists' belief in natural rights and individual liberty, their growing frustration and anger towards British rule, and their desire for a peaceful resolution to their issues but their willingness to fight for their rights if necessary.
Step-by-step explanation:
In a recent year 27.6 of doctors were female if. There were 52.500 female doctors registered what’s the total number
Answer:
190,217
Step-by-step explanation:
Let x = number of doctors.
27.6% of x is 52,500
0.276x = 52,500
x = 52,500/0.276
x = 190,217
You had a bag of fruit snacks that you shared with 2 friends. Each of you got no fewer than 6 fruit snacks. The inequality x+326 models this situation.
Solve the inequality to find the number of fruit snacks that were in the bag.
There were no fewer than []
fruit snacks in the bag.
The inequality to find the number of fruit snacks that were in the bag is
x >= 15
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given ,
You had a bag of fruit snacks that you shared with 2 friends. Each of you got no fewer than 6 fruit snacks.
Given expression , x/3 >= 5
Multiply 3 on both sides
we get,
x/3 * 3 >= 5*3
x >= 15
So the inequality holds x >= 15 .
Hence, The inequality to find the number of fruit snacks that were in the bag is x >= 15
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What are the solutions of the equation x4 5x2 14 0?.
The Equation is biquadratic , the four solutions of the equation x⁴ - 5x² - 14 = 0 are x = +√7 , x = -√7 , x = +√2i and x = -√2i .
The Biquadratic equation is given as : x⁴ - 5x² - 14 = 0 ;
to change the given equation to a quadratic equation ,
we substitute x⁴ = y² and x² = y .....equation(1)
the quadratic equation becomes as : y² - 5y - 14 = 0;
Now, we observe that to factor this expression, we find the two number whose product is 14 and whose difference is 5, such numbers are 7 and 2.
that means ⇒ y² - 5y - 14 = (y - 7)(y + 2);
from equation(1) ,
we get ; ⇒ x⁴ - 5x² - 14 = (x² - 7)(x² + 2) = 0;
Solving the two factors ,
we get ;
⇒ x² - 7 = 0 ⇒ x² = 7 ⇒ x = +√7 and x = -√7 ; and
⇒ x² + 2 = 0 ⇒ x² = -2 ⇒ x = +√2i and x = -√2i .
Therefore , the given equation has two Real Solutions and two Complex Solutions .
The given question is incomplete , the complete question is
What are the solutions of the equation x⁴ - 5x² - 14 = 0 ?
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Answer this functions question
Answer:
[tex]\boxed{a = 4}[/tex]
Step-by-step explanation:
Note:
[tex]\fbox{\parbox{\textwidth}{%\textrm{\textsf{\textbf{Note:}}\\\textsf{This question is stated in a confusing manner and since I cannot see\\part a I am taking whatever I see on the screen as gospel truth\\\\From the question it appears that we are given gf(a) =3 and asked to solve for a.\\\\I am proceeding on that basis}}}[/tex]
We have the following functions
[tex]f(x) = \dfrac{2}{x}\\\\g(x) = \dfrac{x + 1}{x}\\[/tex]
[tex]gf(x) = g(f(x))[/tex]
[tex]\textrm{To find g(f(x)) wherever you see an x in gx), substitute the expression for f(x)}\\[/tex]
[tex]Since f(x) = \dfrac{2}{x}\\\\\textrm and}\\\\g(x) = \dfrac{x + 1}{x}\\[/tex]
[tex]\dfrac{\dfrac{{2}}{x}+1}{\dfrac{2}{x}}\\\\\\\\\left(\dfrac{{2}}{x}+1}\right) \div \dfrac{2}{x}\\\\= \left(\dfrac{{2}}{x}+1} \right) \times \dfrac{x}{2}\\\\[/tex]
[tex]\dfrac{2}{x} + 1} = \dfrac{2 + x}{x}\\[/tex]
[tex]\left(\dfrac{{2}}{x}+1} \right) \times \dfrac{x}{2}\\\\\\= \dfrac{2 + x}{x} \times \dfrac{x}{2}\\\\\\[/tex]
[tex]\textrm{The x's cancel out giving $\dfrac{2+x}{2}$}= 1 + \dfrac{x}{2}[/tex]
[tex]\textrm{For a specific value, a, if $g(f(a)) = 1 + \dfrac{a}{2}$ = 3}}[/tex]
[tex]\textrm{Then $\dfrac{a}{2}$ = 3-1 = 2}[/tex]
[tex]\boxed{a = 4}[/tex]
Afia entered this expression into her calculator at the shoe store:
`\frac{30}{100}\cdot56`
Write a question she could answer about prices at the shoe store using this expression.
What is the price of an item after a 30% discount if the original price of the item is 56 dollars?
Gina buys a television priced at $70. If the sales tax is 5%, how much tax will Gina pay?
Step-by-step explanation:
The answer is gotten by 5% of 70
5/100 × 70/1
= 35/10
= 3.5
Answer: $73.50
Step-by-step explanation:
First, we need to find what is 5% worth of 70 bucks. We would divide 5 by 100 since percents are based on 100 which gets us 0.05. Next do 0.05 * 70 = 3.5. Means that she'll pay $3.50 on top of the 70 bucks, so add the two together, common sense: $73.50. Have a good day ;)
AC= 4√11
4√22
CB=
if my AC is 4√11 then how do i get CB??
x/sin 45 = 4√22/sin 90
CB = 4√22/sin 90 × sin 45
CB = 4√11
or
CB = √(4√22)²-(4√11)²
= 4√11
Answer:
CB = AC = 4√11
Step-by-step explanation:
We know that the sum of the angles of a triangle is 180°. If angle A = 45° and C = 90°, then angle B = 180° - 90° - 45° = 45°. This shows us that the triangle is isosceles and the leg AC is equal to the leg CB.
Consequently: CB = AC = 4√11
If we didn't know the length of AC, then it can be calculated from the hypotenuse:
AC² + CB² = AB²
2 * CB² = (4√22)²
CB² = (4√22)² / 2
CB² = 16 * 22 / 2
CB = √(16 * 11)
CB = 4√11
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What is the value of 2x 3y 36 when Y 6?.
The value of x in equation 2x+3y=36, when y=6 is 9.
The replacement operation can be used in a variety of situations involving formal objects that contain symbols; it involves systematically replacing occurrences of a symbol with a particular value.
Substitution is a fundamental computer algebra operation.
Given equation 2x+3y=36 ; y=6
Solve the equation for given y.
Plugging y=6 in the given equation
We get 2x + 3(6) = 36
2x +18 = 36
2x = 36 - 18
2x = 18
x = 9
Therefore, the value of x in equation 2x+3y=36, when y=6 is 9.
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pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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Please find the measure of the unknown values. No links are allowed, and if used, your answer will be reported. The first person to answer correctly will be highly favoured to get marked as brainliest.
I would appreciate a detailed answer!
Thank you.
Answer:
x = 79
Step-by-step explanation:
Since PQ and RS are most likely parallel lines, we can consider the orange angles (image provided below) to be similar due to them being alternate interior angles.
Now that we know that one angle of the triangle given (orange) is 46 degrees, we can solve for the other angle of the triangle. A triangle adds up to 180 degrees, so we can find the missing angle by subtracting 180 from the given angles: 180-33-46 = 101 (marked in red).
With the red angle, we can find x by subtracting 180 from 101. Why you may ask? Because RS is parallel to PQ, so the degree will be 180. Therefore, the missing angle, x, will be 79.
Figure ABCDEF i hown on a coordinate grid. Figure ABCDEF i dilated with the orgin a the center of dialatiin to create figure a’b’c’d’e’f’ uing the rule
The correct answer is "Figure A’B’C’D’E’F’ is smaller than figure ABCDEF, because the scale factor is less than 1".
The Scale Factor is used to scale shapes in various dimensions. Geometry teaches us about various geometrical shapes in both two and three dimensions.
The scale factor is a measure for figures with similar appearances but differing scales or measures. Assume two circles appear identical but have different radii.
A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size (bigger or smaller).
Thus, the correct answer is "Figure A’B’C’D’E’F’ is smaller than figure ABCDEF, because the scale factor is less than 1"
Complete question:
Figure ABCDEF is shown on a coordinate grid. Figure ABCDEF is dilated with the origin as the center of the dilation to create figure A’B’C’D’E’F’ using the rule (x, y)—›(0.95x, 0.95y). Which statement is true?
Answer choices:
Figure A’B’C’D’E’F’ is smaller than figure ABCDEF, because the scale factor is greater than 1.
Figure A’B’C’D’E’F’ is larger than figure ABCDEF, because the scale factor is less than 1.
Figure A’B’C’D’E’F’ is smaller than figure ABCDEF, because the scale factor is less than 1
Figure A’B’C’D’E’F’ is larger than figure ABCDEF, because the scale factor is greater than 1.
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A’B’C’D’E’F’ is smaller than figure ABCDEF, because the scale factor is greater than 1.
A’B’C’D’E’F’ is larger than figure ABCDEF, because the scale factor is less than 1.
A’B’C’D’E’F’ is smaller than figure ABCDEF, because the scale factor is less than 1
A’B’C’D’E’F’ is larger than figure ABCDEF, because the scale factor is greater than 1.
Amelia cut a 168 inch long ribbon into 6 equal part. Patrick cut a 14 foot long ribbon into 7 equal piece
Amelia cut a 168 inch long ribbon into 6 equal part. Patrick cut a 14 foot long ribbon into 7 equal piece.
Amelia's ribbon pieces were 28 inches long each. Patrick's ribbon pieces were 2 feet long each.
Amelia's ribbon:
To calculate how long each piece of ribbon is, we need to divide 168 inches (the total length of the ribbon) by 6 (the number of pieces).
168 ÷ 6 = 28
Therefore, Amelia's ribbon pieces were 28 inches long each.
Patrick's ribbon:
To calculate how long each piece of ribbon is, we need to divide 14 feet (the total length of the ribbon) by 7 (the number of pieces).
14 ÷ 7 = 2
Since 1 foot is equal to 12 inches, we can convert 2 feet to 24 inches.
Therefore, Patrick's ribbon pieces were 2 feet (or 24 inches) long each.
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Your cla had an ant farm with 32 ant. If the number of ant increaed by a factor of 5 every week, how many ant would there be after 3 week? Write your anwer in numerical form
The ant population increases by factor of 5 every week. After 3 weeks, there will be 800 ants in the farm.
The problem can be solved by considering the ant population growth as a geometric sequence.
In a geometric sequence, a term is obtained by multiplying the previous term by a constant, which is called a common ratio. We can consider this common ratio as a growth factor.
In this case, the common ratio = 5
week 1 = 32 ants
week 2 = 32 x 5 ants = 160 ants
week 3 = 160 x 5 ants = 800 ants
We can also find the number of ants using the geometric sequence formula for the nth term:
a(n) = a . rⁿ⁻¹
Where:
a = first term = 32
r = common ratio = 5
Hence,
a(3) = 32 x 5² = 800 ants
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please solve this for me :D
Multiplication fact is 4 x 4
Division fact is 16 ÷ 4
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
16
4 4 4 4
This means,
Multiplication facts = 4 x 4 = 16
Division facts = 16 ÷ 4 = 4
Thus,
The multiplication and division facts are:
4 x 4 and 16 ÷ 4.
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How do you describe the nature of the roots of 3x² 4x 5 0?.
D) The term "imaginary roots" describes the roots of the equation 3x2 - 4x + 5 = 0 the best.
The formula is the quadratic equation ax2 + bx + c = 0 in standard form.
x = [-b ± √(b2 - 4ac)]
/ 2a
It follows that
3x2 - 4x + 5 = 0
Here, an equals 3, b equals -4, and c equals 5.
Using these numbers as replacements in the formula
x = [-(-4) ± √((-4)2 - 4 × 3 × 5)]
/ (2 × 3)
By even more simplifying
x = [4 ± √(16 - 60)]
/6
x = [4 ± √-44]/ 6
As a result,
x = [4 ± 2√-11]/ 6
x = [2 ± I √11]/ 3
Additionally, b2 - 4ac = -44 0 is the discriminant. So, we have invented roots.
Therefore, the term "imaginary roots" is the best description of the roots of the equation 3x2 - 4x + 5 = 0.
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Full Question = Choose the best description of the roots of the equation 3x2 - 4x + 5 = 0.
Double root
Real and rational roots
Real and irrational roots
Imaginary roots
How does the graph of an exponential function change as the base changes?.
The graph's shape changes depending on the base. The graph can be reflected across the y-axis by replacing x with x, and across the x-axis by replacing y with y.
How to graph an exponential function with the notation f (x) = bx f (x) = b x 1
Construct a points table. 2 Plot the y-intercept (0,1) (0, 1) as well as at least three other points from the table. 3 Through the points, doodle a straight line. 4 Declare the domain, the range, and the horizontal asymptote, y= 0 y = 0, as well as the coordinates of the three variables.y=2x is an easy exponential function to the graph.The graph of an exponential function increases or grows if its base exceeds 1(b > 1).To learn more about graphs here
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If x = 7+√40, find √x + 1/√x
The value of Expression √x + 1/√x=(4√5+2√2)/3.
What are polynomials?Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x2+x-12 is an illustration of a polynomial with a single variable.
There are three terms in this example: x2, x, and -12.
Given:
x=7+√40
=7+2√10
=5+2+2√10
=(√5)²+2.√5.√2+(√2)²
=(√5+√2)²
∴√x=√5+√2 (neglecting the negative sign)
1/√x=1/(√5+√2)
=(√5-√2)/(√5+√2)(√5-√2)
=(√5-√2)/(5-2)
=(√5-√2)/3
√x+1/√x
=(√5+√2)+(√5-√2)/3
=(3√5+3√2+√5-√2)/3
=(4√5+2√2)/3
=(4√5+2√2)/3
√x + 1/√x=(4√5+2√2)/3.
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At occer practice for every 5 minute that bob run he pend 20 minute practicing dribbling if bob keep the ratio and he pend 36 mintue practicing dribbling how many minute doe he pend running
Bob spends 9 minutes running for every 36 minutes that he spends practicing dribbling.
What is ratio ?
A ratio is a mathematical comparison of two or more values or quantities. It is a way of expressing the relationship between different amounts or measurements.
The ratio of running to dribbling is 5 minutes of running to 20 minutes of dribbling. We can use this ratio to find out how many minutes Bob spends running if he spends 36 minutes practicing dribbling.
First, we can set up a proportion with the known ratio and the unknown value ,
5/20 = x/36
To find x we can cross-multiply to get ,
20x = 180
then divide both sides by 20 ,
x = 9
So, Bob spends 9 minutes running for every 36 minutes that he spends practicing dribbling.
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5/20 = x/36
To find x we can cross-multiply to get ,
20x = 180
then divide both sides by 20 ,
x = 9
So, Bob spends 9 minutes running for every 36 minutes that he spends practicing dribbling.
Solve for n
n/5
+
0.6
=
2
5
n
+0.6=2
Pls help I need my ps4 back
The value of n in the equation n/5 + 0.6 = 2 is 7.
How to calculate the value of n in the equation?It should be noted that an equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
In this case, n/5 + 0.6 = 2
0.2n + 0.6 = 2
Collect the like terms
0.2n = 2 - 0.6
0.2n = 1.4
Divide
n = 1.4 / 0.2
n = 7
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Complete question
Solve for n
n/5 + 0.6 = 2
anaya is viewing her bank account online she sees 3 entries for monday each for -$10.50
We can see here that the expression that represents the total change in Anaya's account on Monday is: (- $10.5) x 3.
Note that Anaya sees 3 entries for Monday, each for - $10.50.
What is an expression?An expression is a combination of variables, operators, and/or values that can be evaluated to a single value. Expressions can be used in various programming languages or mathematical contexts to perform operations and make calculations. For example, in a programming language, an expression may be used in an assignment statement to assign a value to a variable, or it may be used in a control flow statement to determine which code block to execute.
We see here that since Anaya actually saw 3 entries that read -$10.50, it then means the expression as seen is above.
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Hello ixl. T and q are the midpoints of legs su and rv
RS is 75 units when T and q are the midpoints of legs SU and RV of a trapezoid.
What is a trapezoid?The bases are in step with one another. The median runs perpendicular to each bases, and its length will be determined by averaging the bases' lengths. 360° is the sum of all of the angles in a trapezoid. A aspect's angles upload as much as an entire one hundred eighty stages.
So, imagine cutting the trapezoid from half and and rotating and join it to became a long parallelogram
Now,
VR = UV + RS = 2QT
⇒ 35 + RS = 2 × 55
⇒ RS = 110 - 35
⇒ RS = 75
Thus, RS is 75 units when T and q are the midpoints of legs SU and RV of a trapezoid.
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Given the point (10,5) and the perpendicular line y = 1/2x - 4, write the equation of a line.
The linear equation perpendicular to the line y = 1/2x - 4 is:
y = -2x + 25
How to find the linear function?A general linear equation can be written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
And two lines are perpendicular if the product between the slopes is -1, then if we want to find a line perpendicular to:
y = 1/2x - 4
Then the slope m must be sch that:
m*(1/2) = -1
m = -2
Then the line is like:
y = -2*x + b
And we know that this passes through (10, 5), replacing these values:
5 = -2*10 + b
5 = -20 + b
5 + 20 = b
25 = b
So the linear equation is:
y = -2x + 25
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What is the rule for standard form?.
A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.
A well-known form of a range in Maths is largely cited for the illustration of large numbers or small numbers. We use exponents to symbolize such numbers in general shape. Any number that we can write as a decimal range, between 1. zero and 10.0, multiplied by means of a power of 10, is stated to be in general shape.
“ Standard form” is likewise known as “clinical Notation” depending on the mathematical lingo of the u. s. you are in. within the UK and the international locations that comply with the same conventions as the UK, the time period “medical Notation” is most typically used while in nations that comply with the usa conventions majorly talk to this shape of writing as the “fashionable form”.
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What is an equation of the line that
passes through the points (-5, 7) and (5, -5)?
Answer:
[tex]y=-\frac{6}{5} x[/tex]
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]\frac{7-(-5)}{-5-5}[/tex]
[tex]\frac{7+5}{-10}[/tex]
[tex]-\frac{12}{10}[/tex]
[tex]y=-\frac{6}{5} +b[/tex]
[tex]-5=-\frac{6}{5} (5)+b[/tex]
- 5 = - 5 + b
b = 0
[tex]y=-\frac{6}{5} x[/tex]
How many solutions are there to the inequality x1 x2 x3 <= 11?.
There are 364 solutions to the given inequality: x1 + x2 + x3 <= 11.
To get the solution of the inequality x1 + x2 + x3 <= 11, we first need to include an additional variable in the inequation to write in as an equation.
Therefore, let the additional variable be x4.
Thus, equation is x1 + x2 + x3 + x4 = 11
The number of solutions of an equation can be calculated by the formula,
[tex]( \left \ {{n+ r - 1} \atop {n}} \right.)[/tex], where n is the constant value of the equation and r is the number of variables in the equation.
In this case, n = 11 and r = 4
Therefore,
[tex]( \left \ {{n+ r - 1} \atop {n}} \right.)[/tex] = [tex]( \left \ {{11+ 4 - 1} \atop {11}} \right.)[/tex] = [tex]( \left \ {{14} \atop {3}} \right.)[/tex]
= 14 * 13 * 12 * 11!/(3 * 2 * 1 * 11!)
=2184/6 = 364
Therefore, there are 364 possible solutions of the inequality.
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Is 360 a full turn?.
Yes 360 degrees is full turn calling it a full rotation.
A degree is the name given to the mathematical unit of measurement for an angle. A protractor is a device used to determine the degree of an angle. Angles can be measured at different angles with different degrees, such as 30°, 45°, 60°, and so on. A complete circle rotates at 360°.
Each of the 360 equal segments that make up a rotation is referred to as a degree. We use a circle ° to represent a degree. 180°, for instance, denotes 180 degrees. An angle in degrees is an angle whose measure is expressed in degrees.
A 360 degree is also called as a Complete angle because it complete the whole round making the 180 degree angle twice giving us 360 degree.
A 360 when written as radian can be given by 2π ( where π= 180 degree)
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What is the distance between points 2 3 and 5 7?.
The distance between two points (2, 3) and (5, 7) is 5 units.
Therefore the answer is 5.
To find the distance between the points (2, 3) and (5, 7), we can use the distance formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) = (2, 3) and (x₂, y₂) = (5, 7)
Substituting the coordinates of the two points into the formula:
d = √((5 - 2)² + (7 - 3)²)
d = √((3)² + (4)²)
d = √(9 + 16)
d = √(25)
d = 5
So the distance between the points (2, 3) as well as (5, 7) will be 5 units by solving the above expression.
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