So, on solving the provided question we can say that coordinates are -
(6, -4.) and T (-1,2) y-y1 = m(x - x1) => 2x - y -16 =0
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
here,
coordinates are -
(6, -4.) and T (-1,2)
y-y1 = m(x - x1)
y +4 = 2(x -6)
y+ 4 = 2x - 12
2x - y -16 =0
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How do you dilate a triangle by 1 2 with a compass?
If the scale factor is 1/2, then every coordinate point of the original triangle is multiplied by the scale factor 1/2.
How do you dilate a triangle?Dilation is a technique for creating similar figures. Each point is stretched outwards from the center point D by multiplying distances by the scale factor. (Outwards if the scale factor is bigger than 1.) Move the points A, B, C to change the shape of the triangleAssume that, the origin (0, 0) be the center of dilation in the coordinate plane. If the scale factor is 1/2, then every coordinate point of the original triangle is multiplied by the scale factor 1/2. Dilation with scale factor 1/2, then multiply by 1/2.The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.To learn more about dilate a triangle refers to:
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Drag the expressions into the boxes to correctly complete the table.
The polynomial equations are
A = x^(1/4) - ∛x + 4√x - 8x + 16
B = 3x² - 5x⁴ + 2x - 12
C = x³ - 7x² + 9x - 5x⁴ - 20
D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1
The non polynomial equations are
E = 4/x⁴ + 3/x³ - 2/x² - 1
F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equations be represented as A , B , C , D , E , F
Substituting the values in the equation , we get
And , any algebraic equation with a negative exponent or fractional exponent is not a polynomial equation. So , expressions with negative exponents are not polynomials.
A = x^(1/4) - ∛x + 4√x - 8x + 16
It is a polynomial
B = 3x² - 5x⁴ + 2x - 12
It is a polynomial
C = x³ - 7x² + 9x - 5x⁴ - 20
It is a polynomial
D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1
It is a polynomial
E = 4/x⁴ + 3/x³ - 2/x² - 1
It is not a polynomial
F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1
It is not a polynomial
Hence , the polynomials are solved
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A. The slope of m is −25.
B. The slope of q is −52.
C. The slope of n is 25.
D. The slope of p is −52. Which statements are true?
I need help with this problem. I've never been good at math.
What are the two 2 coordinate system in AutoCAD?
AutoCAD uses two different coordinate systems. Your working plane's angle is determined by the World Coordinate System (WCS) and User Coordinate System (UCS).
In order to guarantee that everything lines up with the center of a file in a real-world location, the WCS should always be utilized as the geometry reference. The screen can be oriented to a location using the UCS. The file originated from the WCS. The WCS can't be moved from its current location.
Drawing elements will use the rotating coordinate system if a user coordinate system is set, however, the WCS can always be changed. A "User Coordinate System" (UCS) specifies the angle of the XY plane in which you are operating. The XY plane is rotated when a user coordinate system is defined, making it easier to work with alternative orientations.
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If f(x) = 5x, what is f¹(x)?
f¹(x) = -5x
ƒ¹(x) = -1/5 x
f¹(x) = 1/5x
f¹(x) = 5x
Answer:
[tex]\displaystyle f^{-1}(x)=\frac{1}{5}x[/tex]
Step-by-step explanation:
[tex]f(x)=5x\\\displaystyle y=5x\\x=5y\\\frac{1}{5}x=y\\ f^{-1}(x)=\frac{1}{5}x[/tex]
The inverse of the given function f(x) will be x/5.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To find the inverse function f⁻¹(x) for f(x) = 5x, we can use the following steps:
Replace f(x) with y: y = 5xSwap x and y: x = 5ySolve for y: y = x/5Therefore, the inverse function of f(x) = 5x is f⁻¹(x) = x/5.
Note that f⁻¹(x) is not equal to -5x, 1/5x, or 5x.
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HELP ME SOMEONE QUICK
Answer:
<abc is 30*
<fde is 60*
Step-by-step explanation:
Hope this helps!
Write the expression using only positive exponents. Assume no denominator equals zero.
Answer:
[tex]\cfrac{x^{13}}{y^3}[/tex]-------------------------------------
Given expression:
[tex]\cfrac{(x^5y^2)^2}{x^{-3}y^7}[/tex]Rewrite it as follows, to get only positive exponents:
[tex]\cfrac{(x^5y^2)^2}{x^{-3}y^7}=\cfrac{x^{10}y^4}{x^{-3}y^7}=\cfrac{x^{10+3}}{y^{7-4}}=\cfrac{x^{13}}{y^3}[/tex]What is a loop describe its function and importance?
A loop is a programming construct that allows a set of instructions to be repeated until a certain condition is met.
What is function?Function is a relation between input and output values, where each input is related to exactly one output. A function is a mathematical rule that assigns a unique output to each input. It is a process that produces a specific result from given inputs. Functions are used in many areas of mathematics, including algebra, calculus and geometry.
The loop can be used to execute a set of instructions multiple times, or it can be used to iterate over a collection of items such as an array. Loops are an important part of programming, as they allow for efficient and concise code.
Loops are especially useful when it comes to dealing with large datasets. For example, if you wanted to loop through an array of 100 elements, you could do so by writing a single loop statement. This allows you to quickly and easily process large amounts of data without having to write separate instructions for each element. Similarly, loops can be used to iterate over a collection of items such as a linked list or a hash table, making it easier to deal with complex data structures.
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How do you dilate from 2cm to 10cm?
Drawing 2 cm 5 times in a straight line will give us a 10 cm line segment after dilation.
What is Dilation ?Dilation is the process of increasing an object's size without altering its form. Depending on the scale factor, the object's size may rise or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's form doesn't change.
A dilation is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is a positive real integer. Such a dilatation is a resemblance of the space in Euclidean space.
Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
To dilate 2 cm to 10 cm we need to scale 2 cm 5 times
so drawing 2 cm 5 times in a straight line will give us a 10 cm line segment.
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What is the value of x in the triangle? a 45-45-90 triangle with leg length 7 and hypotenuse length x a. B. C. D.
The value of x in the given 45-45-90 triangle is 9.89.
The given triangle is a right-angled triangle which can be solved using the Pythagoras theorem. The Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the base and the square of the perpendicular. This theorem can be applied to all right-angled triangles.
In the given triangle, we have been told that the length of both legs is 7. Now, after applying the theorem -
= 7²+7² = H²
= 49 + 49 = H²
= 98 = H²
= √98 = H
= 9.89 = H
Hence, this is the value of x.
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A jet plane has 160,000 pounds of fuel after the first hour of flight. The four engines consume a total of 14,000 pounds per hour at its cruising altitude. How many pounds of fuel remain after the 9th hour?.
The fuel remain after the 9th hour is 48,000 pounds. The result is obtained by subtracting the amount of fuel consumed by four engines for 8 hours from the amount of fuel after the first hour.
How to count the fuel remain?A simple way to count the fuel remain is subtracting the amount of fuel consumed from the amount of initial fuel.
We have
160,000 pounds of fuel after the 1st hour of flight.Fuel consumed for 4 engines = 14,000 pounds per hour.Find the fuel remain after the 9th hour of flight!
From 1st hour to 9th hour of flight, the time duration is
= 9 - 1
= 8 hours
The fuel remain would be
= 160,000 pounds - (14,000 pounds /hour × 8 hours)
= 160,000 pounds - 112,000 pounds
= 48,000 pounds
Hence, after the 9th hour of flight, the fuel is 48,000 pounds.
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To get from one side of the pond to the other you must walk 34 meters south and 41 meters east to the nearest meter how many less meters would it take if it were possible to go directly across the pond
find the total surface area of this cuboid measurements are 5cm 4cm 6cm the answer measurements must be cm squared
This cuboid's total surface area measured 5cm, 4cm, and 6cm is 120 cm³.
What is total surface area?The surface area of a solid item is a measurement of the entire area occupied by the object's surface. The total surface area includes the base(s) and the curving portion. It is the whole area covered by the object's surface. The total area of a form with a curved surface and base is the sum of the two areas. The total surface area is obtained by summing all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).
Here,
total surface area of cuboid,
=l*b*h
=5*4*6
=120 cm³
The total surface area of this cuboid measured 5cm, 4cm and 6cm is 120 cm³.
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What is the possible factors of the given number or expression of 8?
So on solving the provided question we can say that factors 8 = 1,2,4,8; factor 50 = 1,2,5,10,5,25,50
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
factors 8 = 1,2,4,8
factor 50 = 1,2,5,10,5,25,50
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End behavior of equation
The x-axis "ends" of a function's graph are referred to as the function's "end behavior" in mathematical terms.
what is equation ?Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two equal sides and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either conditional equations or identities are categories for equations. An identity holds true for whatever value of the variables.
given
The x-axis "ends" of a function's graph are referred to as the function's "end behavior" in mathematical terms.
In other words, if we look at the graph's trend from the right end of the x-axis (as x approaches +) and the left end (as x approaches ), the end behavior of a function describes both.
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The complete question is :-
What do you mean by end behavior of equation ?
What is length of scale formula?
The length of a scale formula refers to the mathematical relationship used to determine the length of a scaled representation of an object or image.
What is length of scale formula?We’ll use the formula Scale factor = Dimension of the new shape Dimension of the old shape. Dimension of the new form = Scale factor Dimension of the original shape is how this is expressed. We obtain Dimension of the new form = 7 after inserting the specified numbers.
In dimensional analysis, length scales are generally the operative scale (or at least one of the scales). In scattering theory, for example, the most frequent number to compute is a cross section, which has length squared units and is measured in barns. Typically, the cross section of a particular process equals the square of the length scale.
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how do i solve this? they dont make it clear on here
Since opposite sides of equal angles in a triangle are equal, segment AP is segment PE.
Explain circle theorems?Circle theorems are a set of results in geometry that relate to properties of circles. There are several important circle theorems, including:
The Angle in a Semi-Circle is a Right Angle: The angle formed by a chord and a tangent to a circle at the point of tangency is a right angle.The Angle at the Centre is Twice the Angle at the Circumference: If two lines from a point on the circumference of a circle to the center of the circle are extended to intersect, the angle at the center is twice the angle at the circumference.Equal Chords are Equidistant from the Centre: If two chords of a circle are equal in length, they are equidistant from the center of the circle.Cyclic Quadrilaterals: If a quadrilateral can be inscribed in a circle, then its opposite angles add up to 180 degrees.Chord-Chord Angle: If two chords in a circle intersect, then the measure of the angle formed by the chords is half the measure of the arcs intercepted by the angle.According to question it has been established that a tangent PA exists between the points P and O.
When given, EAF BAE a°
A plus B Equals mPAE
AEP = BAE + ABE = a + b°
An outside view of ABE is [AEP].
In ΔPAE,
When given, EAF BAE a°
A plus B Equals mPAE
AEP = BAE + ABE = a + b°
An outside view of ABE is [AEP].
In ΔPAE,
(a + b)° PAE PEA
Since opposite sides of equal angles in a triangle are equal, segment AP is segment PE.
so proved.
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How do you memorize algebra rules?
Memorizing algebra rules can be challenging, but a few strategies may help: Practice, Mnemonics, Repeat, and Use flashcards.
Practice: The more you work with the rules, the more likely you will remember them.Mnemonics: Create a memorable phrase or acronym to help you remember a rule.Relate to real-world examples: Try to connect the algebra rule with a real-world scenario.Break it down: Break down complex rules into smaller, more manageable pieces.Repeat: Repeat the rules you are trying to memorize as often as possible.Teach someone else: Teaching the rule to someone else helps solidify the information in your own mind.Use flashcards: Write the algebra rule on one side of an index card and the explanation or example on the other side, then use them to quiz yourself.It's important to note that memorizing rules is not the best approach to understanding the concepts, the best approach is to understand the concepts, and the rules will come naturally.
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neena is listening to a song. It has a consistent beat. She counts 11 beats in 5 sec. what is the C.O.P for the realtionships of beats to minute.
Answer:
Step-by-step explanation:
The proportional relation is y= 2.2x
What is proportion?
In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Neena counts 11 beats in 5 seconds
So, x=11 and y=5
Using the proportionality
y = k x
k= y/x
k= 11/5
k= 2.2
Hence, the proportional relation is y= 2.2x
Answer:
2.2
Step-by-step explanation:
1. COP= constant of proportionality
What does that mean? This is how much of something you need for the variables to be proportional no matter their value. For example, if you pay 1.99 for 1 gallon of gas but then 30 dollars for 2 gallons at the same gas station, it doesn't make sense. You need to pay $3 for 2 gallons, and so on.
2. How do we find COP?
K is going to represent the constant of proportionality (COP), what we are solving for. Your equation should be k=b/a.
3. B is what comes first in the ratio, and is second. They said "beats to minutes" so beats= b and minutes= a
3. Solve: 11/5= 2.2
find the gradient and intercept of the following equation of line y= -2x - 5
You are given the line, y=-2x-5. This line is in slope-intercept form, y=mx+b, where m is the slope (or gradient) and b is the y-intercept.
The gradient of the given line is -2 and the y-intercept is -5.
write in simplest form
8 5/12 + 11 1/4
Answer:
19 2/3
Step-by-step explanation:
8+11=19, & 5/12+1/4=8/12
HELP PLEASE ASAP!!!!
Answer: H
Step-by-step explanation:
x<19
((16526+828929)÷82727)×0
need step by step explanation
The value of the equation A = ( ( 16526 + 828929 ) ÷ 82727 ) × 0 is A = 0
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = ( ( 16526 + 828929 ) ÷ 82727 ) × 0 be equation (1)
On simplifying the equation , we get
A = ( 8,45,455 ÷ 82727 ) × 0
On further simplification , we get
A = 10.219819405 x 0
Any number multiplied by the number 0 will result in 0
Therefore , the value of A = 0
Hence , the equation is A = 0
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In a computer catalog,the diagonal distance of computer monitor screen is labeled as 21 inches.if the screen measures 14 inches in height, waht us the width of the screen?
The width of the screen is 15.65 inches
What is the width?The diagonal , the width and the height form a right angle. A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle.
The width can be determined using Pythagoras theorem
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenuse14² + b = 21²
b = 21² - 14²
b² = 441 - 196
b² = 245
b = √245
b = 15.65 inches
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HELP PLSS!! Find cos (A) given the triangle!!
f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}
The graph of the function is attached. The given function has no solution.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the function as -
[tex]f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}[/tex]
The given function is -
[tex]f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}[/tex]
The graph of the function is attached. The given equation has no solution.
Therefore, the graph of the function is attached. The given function has no solution.
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Find the sum of the first 47 terms of the following series, to the nearest integer. 13, 18,23,...
The sum of the first 47 terms of the following series is 6016
What type of series is this?The series of numbers is an arithmetic progression. In an arithmetic progression, the subsequent terms are gotten by the addition of a common difference to the terms.
The series is 13, 18,23,...
The first term is = 13.
The common difference is = 18-13 = 5
The nth term is 47
the formula for sum of nth term is given by
Sn = n/2{2a + (n-1)d}
S₄₇ = 47/2{2*13 + (47-1)5}
Simplifying the expression we have
S₄₇ = 23.5 [26 + (46*5)]
S₄₇ = 23.5 [26 +230]
S₄₇ = 23.5 * 256
This shows that the S₄₇ = 6016
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How do you enlarge a shape by scale factor 3 centre?
Enlarge the shape by scale factor 3.
How can you increase a form by scaling it by 3?To expand a form, multiply all of its lengths by the scaling factor. The scale factor indicates how much larger the shape will be. For example, increasing a form by a scale factor of two means that all of its sides will be twice as long. This rectangle measures one square broad by two squares long.
To employ a center of enlargement, we must draw lines from the center of enlargement to the original shape’s vertices. These are known as ray lines. E.g. Triangle ABC has been expanded by a scale factor of 2 around an expansion point O.
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What word from algebra refers to the steepness of a line or segment?
Answer: Slope
Step-by-step explanation:
Answer:
slope
Step-by-step explanation: