Answers
On solving the provided question we can say that It is isosceles triangle the value of QR is 1.3
An isosceles triangle is what?Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. An isosceles triangle is one that has two equal-length sides in geometry. With the latter specification, the equilateral triangle is included as a special case even though it is commonly stipulated that it must have at least two sides of equal length.
It is isosceles triangle so, that
ratio of QT/QR = ET/RS
4.7/X = 4.7/1.3
X = 1.3
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Related Questions
How do you solve basic equations in algebra 1
Answers
First, get all your stuff on one side so that you have P(x)=0
P
(
x
)
=
0
for some polynomial P
P
. This is done by subtracting both sides by everything on the right hand side, and combining terms that have the same power of x
x
. For convenience, order your terms so that the biggest powers of x
x
come first, and they get smaller as you go, so that the last term is one without an x
x
, if you have one. If this isn’t a polynomial, then this equations isn’t algebraic, so stop following this guide.
Possible mid-step, if you don’t have a term without an x
x
, then x=0
x
=
0
is a solution, and you can divide by the smallest power of x
x
so that now you should have a term without an x
x
. If there’s no smallest power of x
x
, you started with 0=0
0
=
0
which is always true. If the term without an x
x
is the only one, your equation looks like a=0
a
=
0
for some nonzero a
a
, so you’re out of solutions and can stop here.
Next, figure out the degree of P
P
. This is super easy if you did everything correct up until now, because it will be the power of x
x
on the very first term, which should be the biggest power of x
x
you have, and should be at least 1
1
.
Another possible mid-step, if your degree is more than 4
4
, check if the least common multiple of all the powers of x
x
is greater than 1
1
, and check that the degree divided by the least common multiple is 4
4
or less. If this is the case, make the substitution z=xm
z
=
x
m
where m
m
is the least common multiple. Then continue on to solve the equation for z
z
, and then turn those into solutions for x
x
with x=z√m
x
=
z
m
. If you don’t have a degree 4
4
equation, then you might be out of luck. At this point, I think we can no longer call the equation “basic”, as it might not even have a closed-form solution.
Lastly, at this step you should have a polynomial of degree between 1
1
and 4
4
, in which case you will use the corresponding formula: linear, quadratic, cubic, or quartic. The term “linear formula” isn’t really in wide use, but it simply states that the equation
. The other three can be found easily via the internet. The quadratic formula is fairly manageable, the cubic formula is a bit unwieldy but not too bad, and the quartic formula is a bit of a nightmare but if you’re at this point it’s probably the only way.
So there you go, a more or less complete tutorial on how to solve any “basic” “algebraic” equation (for the definitions given above). There are a couple of heuristic techniques you can also try before giving up, such as factoring by grouping, the rational root theorem, and Descartes rule of signs, but none of these techniques are guaranteed to be of any help. Most polynomials of degree 5 or greater don’t have closed-form solutions, so don’t be discouraged if you can’t find them. At that point, if you really need those solutions, you can try numerical methods, but I’ll leave that out of this answer.
help me i need help helppppppppppppppp
Answers
Answer:
You have to draw a graph.
Step-by-step explanation:
Multiply all of your sides together to figure out the area then plot the points.
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answers
Answer:
-4,-2,2
Step-by-step explanation:
look where line reaches zero
Find the values of x and y in parallelogram PQRS.
PT=y, TR=4x+1, QT=2y, TS=5x+8
Answers
The values of x and y in parallelogram PQRS are x =2 and y = 9
How to determine the values of x and y in parallelogram PQRSFrom the question, we have the following parameters that can be used in our computation:
The parallelogram
On the parallelogram, we have the following readings
PT=y, TR=4x+1, QT=2y, TS=5x+8
Rewrite them as
PT= y
TR = 4x + 1
QT = 2y
TS = 5x + 8
Because the point T is the midpoint of the parallelogram, we have
PT = TR
QT = TS
Substitute the known values in the above equation, so, we have the following representation
y = 4x + 1
2y = 5x + 8
This means that
8x + 2 = 5x + 8
Evaluate the like terms
3x = 6
So, we have
x = 2
Substitute x = 2 in y = 4x + 1
y = 4 x 2 + 1
So, we have
y = 9
Hence, the values are 2 and 9
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at a local cafeteria there are 10 vegetable selections available how many three vegetable plates maybe made
Answers
The number of vegetable plates can be made = 120
We know that a combination is nothing but a way of selecting items from a collection. In combination the order of selection does not matter.
We know that a formula for a combination is,
^nC_r = n! / r!(n - r)!
where, ^nC_r = number of combinations
n = total number of items in the collection
r = number of choosing items from the collection
and n! = n × (n - 1) × (n - 2) × . . . × 1
Here, we have n = 10 and r = 3
Using combination formula, the total number of plates made:
^10_C_3
= 10! / (3! × (10 - 3)!)
= 10! / (3! × 7!)
= (10 × 9 × 8 × 7!) /( 3! ×7!)
= (10 × 9 × 8) / (3 × 2 × 1)
= (90 × 8) / 6
= 720/6
= 120
Therefore, 120 vegetable plates maybe made
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What should be added to XXYY to obtain 2x² 3xy?
Answers
(a) x² + 2xy - y² must be added to x² + xy + y² to get 2x² + 3xy. (b) 5a + b -6 must be subtracted from 2a + 8b + 10 to get -3a + 7b + 16.
a)
Here we are given the expression x² + xy + y²
Now we need to add something so that this expression becomes x² + 3xy
Let the expression to be added be p.
Hence we get
x² + xy + y² + p = 2x² + 3xy
or, p = 2x² + 3xy - (x² + xy + y²)
or, p = 2x² + 3xy - x² - xy - y²
or, p = x² + 2xy - y²
Hence, x² + 2xy - y² must be added.
b)
Here we are given the expression 2a + 8b + 10
We need to subtract another expression to get -3a + 7b + 16
Let the expression be t. Hence we get
2a + 8b + 10 - t = -3a + 7b + 16
or, t = 2a + 8b + 10 - (-3a + 7b + 16)
or, t = 2a + 8b + 10 + 3a - 7b - 16
or, t = 5a + b - 6
Hence 5a + b - 6 must be subtracted,
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Correct Question
(a) What should be added to x² + xy + y² to obtain 2x² + 3xy?
(b) What should be subtracted from 2a + 8b + 10 to get -3a + 7b + 16?
The function f(x) = x² +1 has a minimum at what coordinate point (x, f(x))? See the graph below.
Answers
Answer:
(0,1)
Step-by-step explanation:
The Measures of two sides of a triangle are 12 and 13. Use an inequality to express the range of the measure of the third side, m.
A. 1 < m < 15
B. 1 < m < 25
C. 12 < m < 25
D. 0 < m < 11
Answers
The required inequality expression for the third side is 1 < m < 25. The correct option is (B).
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The sides of the triangle are given as 12 and 13 units respectively.
As per the rule for sides of a triangle, the third side is always less than the sum and greater than the difference of two sides.
Then, the inequality can be written as,
13 - 12 < m < 13 + 12
⇒ 1 < m < 25
Hence, the measure of third side can be written in inequality as 1 < m < 25.
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EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
Answers
Graph of given system of equations is shown in figure with intersection point (2, 4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The system of equation is,
⇒ 2x + y = 8
⇒ - x + 2y = 6
By solving both equation , we get;
⇒ (x, y) = (2, 4)
Thus, The graph of system of equation intersect on point (2, 4).
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In the circle below, suppose m WXU= 102° and mLXWV=68°. Find the following.
Answers
In the circle below the suppose m WXU=102° and mL XWV=68° then the following is m ZXUV = 88°.
What is cyclic quadrilateral and explain the above answer?Four-sided shapes with all four corners on the same circle are known as cyclic quadrilaterals. A cyclic quadrilateral's internal angles are always added up to 360 degrees.
(a) m / WXU = 102° (Given)
(b) To find m ZXUV, we can use the property that the angles in a cyclic quadrilateral add up to 360°. Since WXU, XWV, and XLV are all inscribed angles that intercept the same arc, they are congruent. Therefore, m WXU = m XWV = m XLV = 102°. Adding these angles together, we have:
102° + 102° + 68° + m ZXUV = 360°
Solving for m ZXUV, we get:
m ZXUV = 360° - (102° + 102° + 68°)
m ZXUV = 88°
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The Jackson family is planning a weekend vacation. They plan to rent a car from the ABC Car Rental Company. Let m represent the number of miles the family will drive. Let c represent the cost for renting a car. Write an equation that shows what the cost for renting a car will be.
Weekend Special: $40 + $0. 10 per mile
Answers
An equation that shows what the cost of renting a car will be: C=R+mc.
Let the rental cost = R
consider m to be the number of miles driven= m
let c be the cost per mile
And C is the total cost of renting;
Then C = R+mc
the given equation $40 + $0. 10 per mile
Now, in the above equation consider:
R =$40 ( the rental cost)
c = $0.10 ( the cost per mile)
The total cost is C = $40+$0.10m
Ex:
if m is known assume m=1000 miles
Then the total cost C = $40+($0.10/mile)(1000miles)
then C = $40+$100=$140
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Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned, how many cookies were made? Only 90% of the cookies Imani made were sold. How many of the cookies were left after the bake sale?
Answers
If Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned. The number of cookies that were left after the bake sale is: 8.
How to find the cookies left?Number of cookies sold:
Number of cookies sold = 0.90 × [(1+.25)×64]
Number of cookies sold = 0.90 × [(1.25)×64]
Number of cookies sold = 0.90 × 80
Number of cookies sold = 72
Number of cookies left:
Number of cookies left = 80 - 72
Numbers of cookies left = 8
Therefore the number of cookies left is 8 cookies.
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WILL MARK BRAINLIEST: A researcher wishes to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost in the autumn, 8 of the 50 plants in group 1 exhibited damage, and 18 of the 50 plants in group 2 showed damage. Why would the use of z-procedures be questionable value in this situation?
a. We don't know whether the 10% condition has been met.
b. We don't know the standard deviation for either population.
C. d.
Individual plants were not assigned randomly to the two experimental treatments.
We cannot be sure that the Normality condition has been met.
e.
We are collecting results on the entire population of plants, so statistical inference from samples is unnecessary.
Answers
The use of z-procedures assumes that the groups being compared are independent and were randomly assigned. If this assumption is not met, then the use of z-procedures would be questionable. In this case, it is stated that the plants were randomly assigned to the two different groups, so this assumption would be satisfied. The other options (a, b, d, and e) do not necessarily affect the validity of using z-procedures.
Ramiro aked 60 random people from hi chool how they ue the library. Ue the information from Ramiro’ repreentative ample to make prediction about the chool-wide reult. The chool ha 540 tudent
Answers
Yes it is possible to make the prediction about Ramiro's School but not completely.
It is possible to use the information from Ramiro's sample to make predictions about the school-wide results, but it is important to note that the sample may not be fully representative of the entire population of students at the school. There may be sampling biases or other factors that affect the results.
With that said, based on the information provided, we can calculate the proportion of students in Ramiro's sample who use the library in a certain way, and then use that proportion to estimate the number of students at the school who use the library in that way.
For example, if Ramiro's sample shows that 40 out of the 60 people he surveyed use the library to study, we can estimate that approximately 40/60 = 67% of the school's students use the library to study. We can then use this proportion to estimate that approximately 540 x 67% = 361 students at the school use the library to study.
It's important to note that these predictions are based on sample data and they may not be accurate. To make more accurate predictions, a larger, more representative sample would be needed.
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What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.
The slope of
6-4
The slope of
جانا جاتا
Ini
6-
The slope of
The slope of
The slopes indicate that
Therefore, quadrilateral ABCD is a
is
to
and that
is
to
AB
BC
CD
DA
congruent
parallel
perpendicular
parallelogram
rectangle
rhombus
square
Answers
The type of quadrilateral is ABCD is parallelogram.
There are some properties of parallelogram:
If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.The coordinate of quadrilateral ABCD are A=(2,4) B=(5,6) C=(4,3) D=(1,1)
By using the coordinates we can find the slope:
slope=y2-y1/x2-x1
the slope of AB =6-4/5-2
AB=2/3
the slope of AD =1-4/1-2
AD=3/1
the slope of CD =1-3/1-4
CD=2/3
the slope of BC =3-5/3-6
BC=2/3
The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD
Therefore, as per the properties, quadrilateral ABCD is Parallelogram
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Write a proportion to find how many points az a student needs to score on a test worth 50 points
to get a test score of 40%.
Answers
Answer:The student needs to score 20 points
Step-by-step explanation:
? /50= 40/100Cross multiply:100*? = 40*50⇒? = 40*50/100= 20
A school is interested in the average GPA of the sophomore class. They sample 75 of the 500 sophomores, for a mean GPA of 3.26 with a standard deviation of 0.62. Calculate the margin of error to the nearest hundredth.
Answers
calculated margin of error = 0.376
What is margin of error?
It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.
margin of error can be determined by multiplying the critical value to the standard deviation.
How to calculate the margin of error?given, mean GPA of 75 sophomores = 3.26 = Xi
standard deviation = 0.62 = s
sample number = 75 = n
total sophomores = 500
z value of the sophomores = mean / standard deviation = 3.26 / 0.62
Z value = 5.26
margin of error = Z value × standard deviation / (√number of sample)
margin of error = 5.26 × 0.62/ √ (75)
= 0.376
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The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit.
What are the slope and y-intercept of the line that models this situation? I
Answers
The slope and the y-intercept of the given data table will be option A) Slope= -0.0018, y-intercept = 212
The y-intercept of any linear equation is the point at which the line or the curve intersects the vertical i.e the Y- axis.
To find this intercept, the value of x is taken to be 0 in the model, since on the Y-axis, the value of x is 0.
Here from the given table, we need to check the boiling point or the value of Y for which the value of the altitude or the x value is 0
Hence we get the y-intercept as 212° F.
Now, the formula for slope
= change in y/ change in x
here we will take any two data rows and divide the difference in boiling points by the difference in altitudes.
Taking the first 2 rows gives us
Slope = -0.9/500
= -0.0018
Hence we choose option A) Slope = -0.0018, y-intercept = 212
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Complete Question
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y-intercept of the line that models this situation?
A. Slope= -0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
What is the degree of the polynomial 7x 3 4x² *?
Answers
The degree of polynomial 7x³ + 4x² is 3 as the highest power is 3.
What is degree of polynomial?One of the fundamental ideas in mathematics is the degree of polynomials, which determines the maximum number of solutions a function can have and how frequently a function will cross the x-axis on a graph.
Polynomials are also useful in understanding how functions can be represented mathematically. It has the highest exponential power in the polynomial equation.
The greatest power of a variable in a polynomial equation is its degree. When calculating the degree of a polynomial function, only terms with variables are considered. The degree of the polynomial can be determined by looking at the variable term with the highest exponential power.
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I need to know the andwer to 0.03 divided by 0.81 in division of decimals
Answers
Answer: 0.0370 (Italic part repeats forever)
Step-by-step explanation:
Answer: 0.037...
Step-by-step explanation:
Use the correct order of operations to solve the problem below.
14 - 8 + 6 - 10 ÷ 2
Answers
Answer: 7
Step-by-step explanation:
Is Amu equal to Avogadro's number?
Answers
Therefore, amu (atomic mass unit) and Avogadro's number are not the same things.
Define amu (atomic mass unit).
A unit of measurement for atomic and molecular weight is the atomic mass unit (amu).
What is molecular weight?Molecular weight, commonly known as molecular mass, is the mass of a substance's molecules, calculated using the atomic weight of carbon-12, which is 12.
No, amu and Avogadro's numbers are not the same things because An atomic mass unit (amu) is a unit of measurement for atomic and molecular weight. It is defined as one twelfth of the mass of a neutral atom of carbon-12. It is commonly used in chemistry to express the masses of atoms and molecules While Avogadro's number (N) is a fundamental constant of nature that relates the number of atoms or molecules in a sample to the mass of that sample. It is defined as the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms or molecules per mole.
So, amu is a unit of measurement for atomic and molecular weight, while Avogadro's number is a constant that relates the number of atoms or molecules in a sample to the mass of that sample.
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A single pump can add only 0.35 pound of air into a bicycle tire. The bicycle tire will hold a maximum of 640 ounces of air per square inch. How many pumps are required to inflate the bicycle tire to maximum pressure?
A.15 pumps
B. 115 pumps
C. 225 pumps
D. 1,829 pumps
Answers
The bicycle tire needs an amount of 115 pumps to be fully inflated. (Correct choice: B)
How many pumps are required to inflate the bicycle tire to maximum pressure
In this problem we need to determine the number of pumps needed to inflate the bicycle tire at maximum pressure, this number (n) is equal to the maximum capacity of the tire (V), in ounces, and the mass added by a single pump (p), in ounces:
n = V / p
If we know that V = 640 oz and p = 5.6 oz (1 lb = 16 oz), then the number of pumps is:
n = 640 oz / 5.6 oz
n = 114.286
n = 115
An amount of 115 pumps are needed to inflate the bicycle tire to maximum pressure.
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round 3.967 to the hundredth place
Answers
Find the number in the hundredth place
6 and look one place to the right for the rounding digit 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
“what is the slope of the line that passes through the points (5,8) and (11,5)? write the answer in simplest form “ please help with that
Answers
As per the given points in the question, the slope in the simplest form will be equal to 0
What is the slope of the line?Using two of the points on the line you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise and the horizontal change is called the run. The slope equals the rise divided by the run.
Here the given points are (−5,8) and (−11,8)
Hence the required slope of the line is
= 8 - 8
11 - [ - 5 ]
= 0
- 11 + 5
= 0
- 6
= 0
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I need help on that soooo
Answers
Answer:
3⅛ ÷ 1⅔ = 1.9083969465648855.
Step-by-step explanation:
To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.
3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.
Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.
Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.
This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.
-6/7 on a coordinate plane ( I need 3 ordered pair if so pls help)
Answers
-6,7 is in 2nd Quadrant of a coordinate plane because the coordinate of x is negative integer and the coordinate of y is positive integers.
What is coordinate?It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. We may have observed the use of grids in mathematics. We can plot any point using these grids and its coordinates.
Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.
The X-axis is the horizontal axis and the Y-axis is the vertical axis of a coordinate plane, which has four quadrants.
To plot -6, 7 point on coordinate first we find the point -6 on the left side of plane on x axis. the we go upward and find point y=7 parallel to y axis.
this point is -6,7.
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−
50
67
1. 5−100%=minu, tart fraction, 67, divided by, 50, end fraction, plu, 1, point, 5, minu, 100, percent, equal
Enter the anwer a an exact decimal or implified fraction
Answers
The answer as an exact decimal = -0.84 and simplified fraction = −21/25.
What is simplified fraction?Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.
When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.
Given that
-67/50 + 1.5 − 100% = ?
Lets solve
= -67/50 + 1.5 − 100%
= -67/50 + 1.5 − (100 × 0.01)
= -67/50 + 3/2 - 1
= -67/50 + 75/50 - 50/50
= (-67 + 75- 50)/50
= −42/50
= −21/25
= -0.84
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Where is the quadrant 1?
Answers
The quadrant 1 of the graph is in the place of upper right quadrant.
the term graph in math is referred as a non-linear kind of data structure made up of nodes or vertices and edges
Here we have given that we have to find the place of quadrant 1.
In order to find that we must know that definition of quadrant in math that is one other than the region/part of a cartesian plane which is obtained when the two axes intersect each other and it is used to determine the position of a point in a plane.
As we all know that the first quadrant is in the upper right-hand corner of the plane.
And here we all also know that both x and y have positive values in this quadrant.
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What is 2 4 reflected across the Y?
Answers
The point (2, -4) is reflected across the line y = -1.
The coordinates of the image is (4, -4).
coordinates
Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space.
Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.
Numbers
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
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