How is a tangent different from a chord? Explain.
The main difference between tangent and chord is that the tangent touches the curve at only one point whereas the chord touches the curve at two points.
Chord:
A chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.Tangent:
The tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve.The tangent makes an angle of 90 degree with the radius of circle at the point of contact.From above definitions of Chord and Tangent , we say that chord touches the curve at two points where as Tangent touches the curve at only one point .
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A tangent is a line that touches a circle at only one point and is perpendicular to the radius at the point of contact, while a chord is a line segment with both endpoints on the circle.
A tangent and a chord are lines that relate to the curve of a circle, but they have distinct differences. A tangent is a line that touches a circle at exactly one point, and at this point of contact, it is perpendicular to the radius of the circle, which is called the axis in this context. In sharp contrast, a chord is a line segment whose endpoints both lie on the circle. When constructing the perpendicular from the midpoint of a chord, you are drawing an axis. For tangents, the perpendicular erected from the point of contact with the circle is also an axis.
This shows that the tangent is unique in that it has a "no-cut" property; it is the only line that will touch the circle at that single point without cutting through it. When looking at the slope of curves, the slope of the tangent line at the point of contact represents the exact slope of the curve at that point. The differentiation process in mathematics is used to find this slope of the tangent, which is important for understanding the rate of change at a specific point on a curve.
The demand for a new electric guitar causes a music store to increase the price of the guitar by 45%. If the guitar originally costs $320, what is the new price of the guitar?
Answer:
The new price of the guitar would be $464.00
Step-by-step explanation:
The original price of the guitar = $320
The music store increased the price of guitar by = 45%
First we calculate 45% of the 320 and then add it to the original price.
The new price of the guitar = 320 + ( 45% × 320 )
= 320 + ( 0.45 × 320 )
= 320 + 144
= $464
The new price of the guitar would be $464.00
How can the Distance and Midpoint Formulas be used to identify specfic polygons? For example, how could you show that a quadrilateral is a rectangle?
How to write 45 percent as a word form
Which graph represents the function r(x) = |x – 2| – 1
Which graph represents the function r(x) = |x – 2| – 1
- The first graphwe have
[tex] r(x) = |x- 2|- 1 [/tex]
using a graph tool
see the attached figure
So
1) the domain of the function is all real numbers-----> interval (-∞,∞)
2) the range of the function is the interval [-1, ∞)
3) the function decrease on the interval (-∞,2)
4) the function increase on the interval (2,∞)
5) the function has two x-intercepts-----> (1,0) and (3,0)
6) the function has one y-intercept-----> (0,1)
therefore
the graph in the attached figure
The median salary for the Dallas Cowboys was $441,300 in 2000 and $1,326,720 in 2008. Write a linear equation giving the median salary y in terms of the year x. Then use the equation and predict the median salary in 2016.
The linear equation that is asked from the problem takes the form of:
y = m x + b
where,
y = the median salary
x = the number of years
m = the slope of equation
b = y-intercept
The slope of the equation (m) can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (1326720 – 441300) / (2008 – 2000)
m = 110,677.5
The y-intercept is then obtained by using any of the data pair:
441300 = 110677.5 (2000) + b
b = -220913700
Therefore the complete equation is:
y = 110677.5 x – 220913700
The median salary in 2016 is therefore:
y = 110677.5 (2016) – 220913700
y = $2,212,140
Answer:
$2,212,140
Frank kicks a soccer ball off the ground and in the air, with an initial velocity of 30 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? 14.1 feet 13.7 feet 13.2 feet 15.2 feet
The answer is A or 14.1!
WILL GET BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of the space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.
The total length of each row of bookshelves will be of the length of the storage space.
Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves? (3 points)
Write a function that expresses f(x). (10 points)
Graph the function. (10 points)
The function for the length of a row of bookshelves is [tex]\( f(x) = \frac{4}{5} \sqrt{x} \)[/tex]. graph below.
To find the length of a row of bookshelves, you can use the given relationship that the total length of each row of bookshelves will be [tex]\( \frac{4}{5} \)[/tex] of the length of the storage space. Let's denote the area of the space Isabel rents as [tex]\( x \).[/tex] Then, the length of the side of the square storage space is [tex]\( \sqrt{x} \).[/tex]
So, the length of a row of bookshelves,[tex]\( f(x) \)[/tex], would be:
[tex]\[ f(x) = \frac{4}{5} \times \sqrt{x} \][/tex]
For the function expressing [tex]\( f(x) \)[/tex], it would be:
[tex]\[ f(x) = \frac{4}{5} \sqrt{x} \][/tex]
Now, let's graph this function.
Attached below:
Complete Question:
User
When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of the space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square. The total length of each row of bookshelves will be 4/5 of the length of the storage space.1)
Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves?
F(x)= 4/5 √ x 100 ≤ x ≤ 8100 8 ≤ y ≤ 722)
Write a function that expresses f(x). (I wrote) F(x)= 4/5 √ x3)
Graph the function.
A tennis instructor chargers $40 for each one hour lesson and $25 for each half hour lesson if the instructors I come from 35 lessons was $1115 how many one hour lessons did she give?
Find the values of x and y that make k || j and
m || n.
The values of x and y are 80 and 70 respectively which make k parallel to j and m parallel to n.
Geometrically, parallel means two or more lines, line segments, or rays that never intersect or cross each other, it doesn't matter how far they are extended. Parallel lines always maintain the same distance between them and remain equidistant at every point.
The sum of two adjacent angles is [tex]180^o[/tex],
therefore,
[tex](x-30)^o+(x+50)^o= 180^o[/tex]
2x +20 = 180
2x = 180 - 20
2x = 160
[tex]\frac{2x}{2} = \frac{160}{2}[/tex]
x = 80.
Again, as the sum of two adjacent angles is [tex]180^o[/tex],
[tex](x-30)^o+y^o= 180^o[/tex]
x + y = 180 + 30
Substitute value of x,
80 + y = 150
y = 150 - 80
y = 70.
Thus, x = 80 and y = 70 are the values for which k is parallel to j and m is parallel to n.
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The sum of two numbers is 60. The larger number is 18 more than the smaller number. What are the numbers?
What is 74 divided by 3
The value is 24 1/3
How to determine the valueFirst, we need to know that division is an arithmetic operation that is the result of a divisor and a dividend
We have other arithmetic operations, such as;
AdditionSubtractionMultiplicationDivisionBracketparenthesesFrom the information given, we have that;
74 divided by 3
This is represented as;
74/3
Divide the values
24 1/3
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A woman at your company saves 10% of her salary.what fraction of her salary doe she save?
Solve the equation. 4n−18=52
Answer:
solve the equation.
4n−18=52
n= 17.5
2-5 please help! Please explain how you got the answers too! I more want to understand the math than get the answer
Answer:
2. I don't know for sure, but I'm pretty sure it's 1.05x10^28
3. 5,600,000,000,000
4. 0.00000000021
5. 87,300,000,000,000,000
Step-by-step explanation:
2) Again, I'm not 100% sure, but I would say 1.05x10^28 because it's the only one with three digits while the other numbers have two digits
3 & 5) The way scientific notation works is that when you have a positive exponent (like 12 and 16) you move the decimal point to the right that amount of times. So for example, take 5.6E12 (E12 is the same thing as saying 5.6x10^12 btw) the exponent would be 12, so you move the decimal point over 12 times. If you want to double check that you have enough zeros, move the decimal point again, and if it ends up at the end of the number when you hit 12, then you're fine. If you hit 12 in the middle of the number, erase all zeros to the right of the decimal point, and if you hit the end too early, add more zeros until you get it right.
4) Now when you have a negative exponent (-10) you do the opposite of 3 & 5 and move the decimal point to the left that amount of times. In this case, you would move the decimal point 10 times to the left, and you can use the same trick as before to make sure you have enough zeros. I also don't know how nitpicky your teacher is, but I would make sure to add one more zero to the left of the decimal just to make sure (by this I mean getting a number like 0.0005 instead of .0005) because some teachers do want you to do that. I hope this explanation helped :)
how do you solve (x+3)-15=7(x-2)+8
Which graph shows a plot of the complex number i − 2?
Given:
Complex number: i − 2?
i - 2 is \(-2 + i\) in standard form. So, the point is 2 left and 1 up from the origin and the graph that shows a plot of the complex number i – 2 is the second graph. Please see attached image for the graph.
To add, expressing a number in the form a + bi, whereas the real numbers are b an a, while i is the imaginary unit (which satisfies the equation i2 = −1) is called a complex number. a is called the real part of the complex number, and b is called the imaginary part In the given expression.
At a middle school, 18% of all students play football and basketball and 32% of all students play football. What is the probability that a student plays basketball given that the student plays football?
The probability that a student plays basketball given that the student plays football is 56%.
Given that,
At a middle school, 18% of all students play football and basketball and 32% of all students play football.Based on the above information, the calculation is as follows:
[tex]= 18\% \div 32\%[/tex]
= 56%
Therefore we can conclude that The probability that a student plays basketball given that the student plays football is 56%.
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what is the cost of six filters if eight cost 39.92
Consider the quadratic function.
f(p) = p2 – 8p – 5
What are the values of the coefficients and the constant in the function?
a = –1, b = –8, c = –5
a = 1, b = –5, c = –8
a = 1, b = –8, c = –5
a = –1, b = –5, c = 8
does anybody know this???
The values of the coefficients and constant are 1, -8 and -5
Standard quadratic equationThe standard quadratic expression is given as:
y = ax^2 + bx + c
where a, b and c are the constant
Given the quadratic function f(p) = p2 – 8p – 5, on comparing:
a = 1
b = -8
c = -5
Hence the values of the coefficients and constant are 1, -8 and -5
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Translate the algebraic expression shown below into a verbal expression.
Fraction with variable x in numerator and 4 in the denominator.
The sum of four and some number
The product of some number and four
The difference of four and some number
The quotient of some number and four
est answer will get BRAINLIEST!
The algebraic expressions for the given verbal expression are 4x+y, 4x, y-4, x/4
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are some verbal expression, we need to translate it into algebraic expressions,
The variables will be x and y,
1) The sum of four and some number =
x+x+x+x + y = 4x+y
2) The product of some number and four =
4×x = 4x
3) The difference of four and some number =
y-4
4) The quotient of some number and four =
x/4
Hence, the algebraic expressions for the given verbal expression are 4x+y, 4x, y-4, x/4
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Final answer:
The algebraic expression with a variable 'x' in the numerator and '4' in the denominator translates to the verbal expression 'The quotient of some number and four', indicating a division of 'x' by 4.
Explanation:
The algebraic expression given is a fraction with variable x in the numerator and 4 in the denominator. This expression can be translated into a verbal expression as "The quotient of some number and four". It's important to understand each term used in this expression:
Quotient refers to the result of division.
Some number refers to an unspecified or unknown quantity, which is represented by x in this context.
The number 4 is the divisor in this expression.
Therefore, when we talk about the quotient of some number and four, we are referring to dividing an unknown quantity (x) by four (4).
Write 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 as a power of 10 using exponents.
A) 10'3
B) 10'6
C) 10'9
D) 10'10
The equation shows the relationship between x and y: y = 6x + 1 What is the slope of the equation?
What scale factor(s) will produce an image that is larger than the original? I. 0.86 II. 116% III. 9 over 5
Scale factors greater than 1 will produce an image larger than the original.
Explanation:The scale factor that will produce an image larger than the original is any scale factor greater than 1.
I. 0.86: This scale factor is less than 1, so it will make the image smaller.II. 116%: This scale factor is greater than 1, so it will make the image larger.III. 9 over 5: This scale factor is greater than 1, so it will make the image larger.Learn more about Scale factors here:https://brainly.com/question/35553153
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The price of an item selling at 150% of its $63 value is what
Jeremy finds a set of plans to build a model airplane. Most, but not all, of the lengths given in the plans are direct measurements. According to the plans, each horizontal stabilizer of the tail wing is made from a right triangle. The length of the leg of the triangle that touches the plane is AB = 8 inches, and cosA=817. To find the number of inches each horizontal stabilizer extends from the plane, find BC.
i could really use some help on this one 1/2(b+14)=b+14÷2
One US dollar is currently worth 0.79 euro (€). If you exchange $522 for euros, how many euros will you have?
If you exchange $522 for euros, the number of euros you would have is equal to 412.38 euros (€).
What is a direct proportion?In Mathematics and Geometry, a direct proportion is a mathematical equation which is typically used to represent the equality of two (2) ratios.
Based on the information provided, we have the following exchange rate:
1 US dollar = 0.79 euro (€).
522 US dollar = X euro (€).
By cross-multiplying, we have the following:
X = 0.79 euro (€) × 522 US dollar
X = 412.38 euros (€).
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What is the result of converting 3560 meters into kilometers?
John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for different hours?
Answer:
for ever 1 hour the price goes up by ten
Step-by-step explanation: