the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square
When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.
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How do you graph a rational function example?
To graph a rational function example, start by writing the equation in the form y = (ax + b)/(cx + d).
Then, plot the points where the denominator equals zero (when x = -d/c). These points are called vertical asymptotes.Next, plot the points where the numerator equals zero (when x = -b/a). These are called horizontal asymptotes.Finally, plot points between the vertical and horizontal asymptotes to graph the rational function.Plotting the points between the vertical and horizontal asymptotes will allow you to see the shape of the graph. Start by plotting points on either side of the vertical and horizontal asymptotes. Then, plot points at evenly spaced x-values between the vertical and horizontal asymptotes. For example, if the vertical asymptote is at x=-d/c, and the horizontal asymptote is at x=-b/a, you can plot points at x=-1.5d/c, x=-0.5d/c, x=-1.5b/a, and x=-0.5b/a. By plotting these points and connecting them with a smooth curve, you can graph the rational function.
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I need help this can someone help me thank you
The linear equation 8(u + 6) = 24 has a solution of u = -3
Linear EquationA linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
In the given question, we are required to solve the linear equation following some steps.
Step one
8(u + 6) = 24
This is the given equation
Step two
8u + 48 = 24
This done using distributive property
Step Three
8u + 48 - 48 = 24 - 48
This is done using subtraction property
Step four
8u = -24
This done using collection of like terms
Step five
8u / 8 = -24 / 8
This is done using division property
u = -3
This is the answer to the question
The solution of the linear equation is - 3
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pls help me out!! I'd appreciate it
Answer:
I believe it is C.
Step-by-step explanation:
Create another line perpendicular to AB passing through C on AB. Measure the angle at the intersection to verify your result. Take a screenshot of your work, and paste it below.
Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.
Define perpendicular.Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).
Given,
Create another line perpendicular to AB passing through C on AB..
Line passing through AB is perpendicular.
Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.
A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.
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The gas tank of a car holds 15.9 gallons. If it required 12.2 gallons to fill the tank, how many gallons were still in the car before it was filled up?
Answer: 3.7
Step-by-step explanation: 15.9-12.2=3.7
What is the greatest common factor of 78 and 41
Answer:
1
Step-by-step explanation:
41 is prime, so its only factors are 1 and 41.
Since 1 is a factor of 78 but 41 isn't a factor of 78, the greatest common factor is 1.
please hurry
The graph describes profit of necklace sales. Which best describes the domain in context?
Question 13 options:
all real numbers
all whole numbers greater than or equal to 0
all real numbers greater than or equal to 0
all whole numbers greater than 1
By using function, it can be concluded that
The domain of the function is all real numbers greater than zero.
What is a function
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here the values on the horizontal axis is the domain and the values on the vertical axis is the range.
From the graph, it can be seen that the function is defined for all real numbers greater than or equal to zero.
So the domain of the function is all real numbers greater than zero.
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Kaylon shaded the thermometer to represent a temperature of degrees below zero Celsius as shown in the diagram. Is she correct? Therm
Question 5 options:
A: She incorrect because she should have shaded in °
B: She is correct because she shaded a temperature of -°C.
C: She is incorrect because she shaded a temperature of −°.
Using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.
What is logical reasoning?In addition to formal deduction, two more categories of logical thinking are frequently distinguished: induction and abduction.
The following can be explained if one has a precondition or premise, a conclusion or logical consequence, and a rule or material conditional that indicates the conclusion given the precondition.
Mathematical logic and philosophical logic are frequently used to support the claim that "when it rains, objects outside become wet.
The grass is outside, therefore: when it rains, the grass gets wet."
A finding of the rule is supported by inductive reasoning.
So, according to the given, we can easily guess that Kaylon is wrong because the shaded temperature is -°.
Therefore, using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.
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What is the smallest whole number that rounds to 80 when rounded to the nearest 10.
Plis help me here :(
The function f(x) = -7x + 22 and g(x) is f(x) translated up 5 thus option (D) is correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given table,
The function f(x) = -7x + 22 is satisfying the table.
For example at x = 2
f(2) = -7 x 2 + 22 = 8
Now, since, g(x) = f(x) + 5 thus g(x) is translated up to 5 units.
Hence "The formula f(x) = -7x + 22 and the translation of f(x) up 5 is g(x).".
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Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-3x + 4y = -5
-6x+8y= -10
a. One Solution
b. No Solutions
c. Infinitely Many Solutions
The system of Linear Equation has Infinitely Many Solutions
What is Linear Equation in Two Variables?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
To check the numebr we need to find the vaules of
a1/a2, b1/b2, c1/c2
a1/a2 = -3/-6 = 1/2
b1/b2 = 4/8 = 1/2
c1/c2 = -5/-10 = 1/2
Since the values of a1/a2 = b1/b2 = c1/c2
Theerefore, the system of Linear Equation has Infinitely Many Solutions
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The circumference of a circle is 20 pi inches, Whats its area
Answer: 100 pi, or 314.15926...
Step-by-step explanation:
The circumference is 2r pi. r is 10. The area is r squared pi. 10 squared in 100, so 100 pi.
-5/6x - 7/30x + 1/5x= -52
what is x
x=?
The value of 'x' is 60.
We are given with [tex]\frac{-5}{6}x-\frac{-7}{30}x+\frac{1}{5}x=-52[/tex]
⇒ [tex]\frac{-25x-7x+6x}{30}=-52[/tex]
⇒ [tex]\frac{-26x}{30}=-52[/tex]
⇒ [tex]x = 2 \times 30[/tex]
[tex]\therefore x=60[/tex]
So the value of 'x' is 60.
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What is a, b, and c in 3x2 + 4 = 5x
Answer:
Subtract
5
x
from both sides of the equation.
3
x
2
+
4
−
5
x
=
0
Once the quadratic is in standard form, the values of
a
,
b
, and
c
can be found.
a
x
2
+
b
x
+
c
Use the standard form of the equation to find
a
,
b
, and
c
for this quadratic.
a
=
3
,
b
=
−
5
,
c
=
4
Step-by-step explanation:
Solve the equation for
x
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
x
=
5
±
i
√
23
6
A kangaroo hops 9 kilometers in 3 minutes. at this rate how far does the kangaroo travel in 2 minutes
Answer: If a kangaroo hops 9km in 3 minutes, that means he runs 3km every minute, which we can multiply by 2 in order to get 6km in the first 2 minutes. [EXTRA: In one hour, the kangaroo can hop 180km, which means his top speed is 180km/h without accounting for fatigue]
Step-by-step explanation: a
1. what happened when you pressed on the balloon stretched over the jar? what does this result represent?
The balloon will be collapsed due to the excess pressure.
what happened?if we press on a balloon that is already filled by air stretched over the jar, the air of the jar will enter the balloon and create excess pressure beyond its tolerance and finally the balloon will be collapsed.
what we understand by the result?as the air-filled balloon is pressed directly over a jar, there is no way to leakage of air, besides the air of jar enter the balloon causes high pressure on the wall of balloon and finally it is destroyed. The result represents the presence of gases inside any empty bottle as well as any jar.
hence, we understand that every empty jar or bottle has gaseous substances with them.
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A solid dressing recipe includes 4/5 cup of lime juice for every 2 cups of Greek yogurt. How many cups of lime juice does Marquez need for 3 cups of Greek yogurt?
Answer:
1 1/5
Step-by-step explanation:
So first we need to realize that 4/5 can be turned into 8/10. Plus since they need 3 cups, not 2 (which we have been provided with the cups for) then we have to split it in half. So it would be 8/10 + 4/10. Which is 12/10 or 1 2/10 or 1 1/5
Hope this makes sense!!!
Solve the following compound inequality 5x+7<3or3x-4>11
The solution range of the inequality {5x+7<3 and 3x-4>11} to is in range : x < -4/5 or x > 5.
What is an Inequality? What is a expression? What is a mathematical equation? An inequality in mathematics compares two expressions, showing if one is less or greater than, or simply not equal to another value.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, of the given problem.Given are the following inequalities -
5x+7<3 and 3x-4>11
We have -
5x + 7 < 3
5x < - 4
x < -4/5
and
3x - 4 > 11
3x > 15
x > 5
So, we can write the solution of the inequality as -
x < -4/5 or x > 5
Therefore, the solution to the inequality is in range : x < -4/5 or x > 5.
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Fatima conducts emissions inspections on cars. She finds that 6\%6%6, percent of the cars fail the inspection. Let ccc be the number of cars fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
The probability that the first failed inspection occurs on Fatima's 5th inspection i.e P(c = 5) is 0.05..
Geometric probability distribution:In probability and statistics,the geometric distribution defines the probability of the first success occurring after k trials. The probability of success is p
P r ( X = k ) = ( 1 − p )⁽ᵏ⁻¹⁾ p.
We have given that,
An emissions inspections on cars is conducted by Fatima.
Probability that car fail the inspection, p = 6% = 0.06
let c denoted the number of cars that are inspected until one car fail to inspection.
The random variable c here. Here c follow geometric probability distribution with probability of success (0.06).
Plugging all known values in above formula we get, p(c= 5) = (1-0.06)⁴ × 0.06
= (0.94)⁴ (0.06)
=0.0468449376~ 0.05
so, the answer is 0.05
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Complete question:
Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
Required:
Find the probability that the first failed inspection occurs on Fatima's 5th inspection
A company finds that its advertising costs increased from 72000 to 76680 in a year. What was the rate of increase?
Using the percentage increase formula, we know that the rate of increase in the advertising cost of the company is 93.5%.
What is the percentage?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.
The percent symbol, "%," is widely used to denote it even if the abbreviations "pct," "pct," and rarely "pc" are also employed.
A% is a number that has neither dimensions nor a defined unit of measurement.
For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).
So, the percentage increase formula:
% increase: original - increase/original * 100
Increase: 76680-72000 - 4680
Now, substitute values as follows:
% increase: original - increase/original * 100
% increase: 72000 - 4680/ 72000* 100
% increase:93.5
Therefore, using the percentage increase formula, we know that the rate of increase in the advertising cost of the company is 93.5%.
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consider a square matrix aa with real eigenvalues aa and bb. what would be the eigenvalues of the matrix a^ta t ?
the eigenvalues of the matrix a^ta t is λ(Ax).
What is matrix?
The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them. The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively. A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.
Let λ be an eigenvalue of ATA, i.e.
ATAx=λx
for some x≠0. We can multiply A from the left and get AAT(Ax)=λ(Ax).
Hence the eigenvalues of the matrix a^ta t is λ(Ax).
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Estimate each product to the nearest whole number. Then, find the product. 0.7 x 0.85
The product to the nearest whole number is equivalent to zero.
What is multiplication?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition.Given is to write the product (0.7 x 0.85) to the nearest whole number.
We have the product as -
0.7 x 0.85
(7/10) x (85/100)
(7/10) x (17/100)
119/1000
0.119
0.12
0.1
0
Therefore, the product to the nearest whole number is equivalent to zero.
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A group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". When this interesting creature dies, it explodes itself into a number of baby piknits called gogles. The scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. After the piknits died they counted the number of gogles that each piknit produced. They wanted to know if the weight of the piknits can be used to predict the number of gogles.What are the appropriate null and alternative hypotheses?Group of answer choicesH0: There is no linear relationship between the weight of piknits and the number of goglesHa: There is a negative linear relationship between the weight of piknits and the number of goglesH0: Weight of piknits is a useful predictor for the number of goglesHa: Weight of piknits is not a useful predictor for the number of goglesH0: There is a linear relationship between the weight of piknits and the number of goglesHa: There is no linear relationship between the weight of piknits and the number of goglesH0: There is no linear relationship between the weight of piknits and the number of goglesHa: There is a linear relationship between the weight of piknits and the number of gogles
The appropriate null and alternative hypothesis for calculating number of gogles is H0 : No linear relation H1 : there is a relation
Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).
It's a common tool for describing simple relationships without making a statement about cause and effect.
According to the question,
A group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.
Also, They wanted to know if the weight of the piknits can be used to predict the number of gogles.
From the given information,
Null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of gogles
Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles
Option 4 is correct about null and alternative hypothesis
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richard works at a retail shop. he makes $9 an hour, plus $2 for each membership he sells. letimage represent the number of memberships sold andimage represent the total amount of money he will make in an hour. which equation below represents this situation?
The equation to represent the total amount of money Richard make in an hour is y = 9 + 2x .
In the question ,
it is given that ,
Richard is working at a retail shop ,
let the number of membership sold in an hour be = "x" ,
let the total amount of money earned be = "y" .
amount of money earned in hour = $9 ,
amount that he gets for each membership sold = $2 .
So , According to the question ,
the equation that represent the given situation is given as
y = 9 + 2x
Therefore , the equation for the situation is y = 9 + 2x .
The given question is incomplete the complete question is
Richard works at a retail shop. he makes $9 an hour, plus $2 for each membership he sells. let x represent the number of memberships sold and y represent the total amount of money he will make in an hour. write an equation represents this situation ?
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pls help
Shown below are the scatter plots for four different data sets.
Answer the questions that follow. The same response may be the correct answer for more than one question
need help with both questions
The value of the variable 'x' in the first case and the second case will be 9° and 1.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.
In part 61, the equation is given as,
100° + 9x - 1° = 180°
Simplify the equation, then we have
9x + 99° = 180°
9x = 81°
x = 9°
In part 62, the equation is given as,
22x - 1 = 21
Simplify the equation, then we have
22x - 1 = 21
22x = 22
x = 1
The value of the variable 'x' in the first case and the second case will be 9° and 1.
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Suppose that P(E) = 0.85, P(F) = 0.40, and P(E and F) = 0.30.
Calculate P(F|E).
By using the concept of probability, it can be calculated that-
P(F|E) = [tex]\frac{P(F \ and \ E)}{P(E)} = \frac{6}{17}[/tex]
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here P(F|E) means probability of happening of event F knowing event E will happen
P(E) = 0.85, P(F) = 0.40, and P(E and F) = 0.30.
P(F|E) = [tex]\frac{P(F \ and \ E)}{P(E)} = \frac{0.30}{0.85} = \frac{6}{17}[/tex]
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12. How could you write a system of inequalities using the quadratic functions in
the graph so that (6, 6) is a solution to the system but (6, -6) is not a solution to
the system.
Answer:
To write a system of inequalities that has the point (6, 6) as a solution but not (6, -6), we can use the fact that the point (6, 6) is above the graph of the quadratic function, but the point (6, -6) is below the graph. Therefore, we can write a system of inequalities that includes the condition that the y-value must be greater than the value of the quadratic function at a given x-value.
For example, we could use the quadratic function y = x^2 and write the following system of inequalities:
y > x^2
y > 6
The first inequality states that the y-value must be greater than the value of the quadratic function at a given x-value. The second inequality is added to ensure that the y-value is greater than 6, which is necessary for the point (6, 6) to be a solution.
Since the point (6, 6) satisfies both of these inequalities, it is a solution to the system. However, the point (6, -6) does not satisfy the first inequality, since the y-value is less than the value of the quadratic function at x = 6. Therefore, it is not a solution to the system.
Overall, the system of inequalities would be as follows:
y > x^2
y > 6
A group of friend want to go to the amuement park. They have no more than $80 to pend on parking and admiion. Parking i $14. 75, and ticket cot $11. 25 per peron, including tax. Write and olve an inequality which can be ued to determine xx, the number of people who can go to the amuement park
Using the provided conditions and rule of inequality, The required expression is 11.25x + 14.75 <=80.
What do you mean by inequality equation?Both mathematical phrases, equations and inequalities, are created by connecting two expressions.
What are the different types of equations?The Different Types of Equations are:
Linear Equation.Radical Equation.Exponential Equation.Rational Equation.x= number of friends
Total parking cost = 14.75
Total ticket cost =11.25x
Total money = 80
Since, The total money to be spend can't cross $80, The inequality is given by 11.25x + 14.75 <= 80
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Find the value of each expression.
5[(46-14) +4] Note divide by 4.
O 13
O 213
O 227
O 40
By solving the equation 5[(46 - 14) / 4] we will get 40 as the answer
What is BODMAS?
The abbreviation BODMAS is used to assist pupils recall the order of mathematical operations - the right sequence in which to solve maths problems. BODMAS is an acronym that stands for B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction.
Solution:
5[(46 - 14) / 4]
We will solve the round brackets first
5[ 32 / 4 ]
Now we will solve the square bracket
5 * 8 = 40
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