Two parallel lines in the coordinate system share the same slope, this means that if you have two parallel lines:
[tex]\begin{gathered} y_1=m_1x_1+b_1 \\ y_2=m_2x_2+b_2 \\ \text{Their slopes must be equal:} \\ m_1=m_2 \end{gathered}[/tex]For the given equations, the slopes are:
[tex]\begin{gathered} y=17x-8 \\ m=17 \end{gathered}[/tex][tex]\begin{gathered} y=24x+6 \\ m=24 \end{gathered}[/tex]The slopes are different, so this lines are not parallel.
Two lines are perpendicular, when the slope of one of them is the negative inverse of the first one, this is for the perpendicular lines:
[tex]\begin{gathered} y_1=m_1x_1+b_1 \\ y_2=m_2x_2+b_2 \\ m_2=-\frac{1}{m_1} \end{gathered}[/tex]For the given equations, using y=17x-8 as reference, the slope of a line perpendicular to this one must be:
[tex]m_{}=-\frac{1}{17}[/tex]The slope of a perpendicular line to y=17x-8 is different from the slope of the second given line, so you can conclude that these lines are not perpendicular.
The correct choice is Neither
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The two equations that are true when x = -2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16.
We have given x = 2 and x = -2
Substitute the values in the given equations
Equation 1
x^2 - 4 = 0
Substitute x = 2 in LHS, we get
2^2-4 = 4 - 4 = 0 = RHS
Substitute x = -2 in LHS, we get
(-2)^2-4 = 4 - 4 = 0 = RHS
Equation 2
x^2 = -4
Substitute x = 2 in LHS, we get
2^2 = 4 ≠ RHS
Substitute x = -2 in LHS, we get
(-2)^2 = 4 ≠ RHS
Equation 3
3x^2 + 12 = 0
Substitute x = 2 in LHS, we get
3(2)^2 + 12 = 12 + 12 = 24 ≠ RHS
Substitute x = -2 in LHS, we get
3(-2)^2 + 12 = 12 + 12 = 24 ≠ RHS
Equation 4
4x^2 = 16
Substitute x = 2 in LHS, we get
4(2)^2 = 4(4) = 16 = RHS
Substitute x = -2 in LHS, we get
4(-2)^2 = 4(4) = 16 = RHS
Equation 5
2(x-2)2 = 0
Substitute x = 2 in LHS, we get
2(2-2)2 = 2(0)(2) = 0 = RHS
Substitute x = -2 in LHS, we get
2(-2-2)2 = 2(-4)(2) = 16
Hence, we find that Equation 1 and Equation 2 are true for x = 2 and x = -2
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what is the radius of the circle?
Answer:
7 units
Step-by-step explanation:
Hello!
The radius of a circle is the distance from the center of the circle to it's outer edge.
The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.
Answer:
7 units
Step-by-step explanation:
count from the center to the circle to one of the sides which is 7 units
Please fill in the blanks. I set it as 30 but I don't know how many points you get for answering lol
The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
In this question, we have been given a function y = k/d³
We need determine whether function is power function or not.
We know that, a power function is of the form y = x ^n where n is any real number.
We can write given function as,
y = k × d^(-3)
Given that, k represents a constant.
Here, the value of y depends on the value of d.
So, d is an independent variable and y is dependent variable.
also, the power of given function is -3
Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
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There are 60 members in the school glee club. The glee club needs to raise at least $5,000 for a trip toa national competition. The school agreed to contribute $1,000 toward the trip. Which of theinequalities below shows the amount of money that each glee club member needs to raise to help payfor the trip.a) 60x + 1,000 > 5,000b) 60x + 5,000 > 1,000c) 1,000x + 60 < 5,000
Let x be the amount raised by each club member. Since there are 60 members, the amount raised by them would be
[tex]60x[/tex]Now, we know the school contributed $1,000. Now, the amount raised is:
[tex]60x+1000[/tex]Since this amount has to be at least $5,000, we have that the inequality that shows the amount of money that each glee club member needs to raise to help pay for the trip is:
[tex]60x+1000>5000[/tex]Answer: Option A
Find the missing side or angle. Round to the nearest tenth. a=4 b=5 c=7
Using the law of cosines, the missing angles are:
A = 34.1°, B = 44.4°, C = 101.5°
What is the Law of Cosines?The law of cosines is used to solve a triangle when given the lengths of the three sides of a triangle, and it is expressed by the formula:
c² = a² + b² - 2ab × Cos C.
Given the following:
a = 4 b = 5 c = 7Find C by substituting the values into the law of cosines formula:
7² = 4² + 5² - 2 × 4 × 5 × Cos C
49 = 16 + 25 - 40 × Cos C
49 = 41 - 40Cos C
49 - 41 = -40Cos C
8/-40 = Cos C
-0.2 = Cos C
C = Cos^(-1)(-0.2)
C = 101.5°
Find B using the Law of Sines:
sin B/b = sin C/c
Substitute
sin B/5 = sin 101.5/7
(sin B)(7) = (sin 101.5)(5)
sin B = (sin 101.5)(5)/7
sin B = 0.69995
B = Sin^(-1)(0.69995)
B = 44.4°
Find the measure of angle A using the triangle sum theorem:
A = 180 - 101.5 - 44.4
A = 34.1°
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Determine whether each function is quadratic function by graph
F(x) = 1/2 x - 4
Decide whether each statement is sometimes true, always true, or never true. If the statement is sometimes true give one example of when it is true and an example of when it is not. See Instructions."The linear regression line passes through the average of the x-values and the average of the y-values."Your answer:See Instructions. "A positive correlation coefficient means that the points in the scatterplot are very close together."Your answer:See Instructions."A correlation coefficient close to 1 means that a linear model is most appropriate for the data."Your answer:
In general, the linear regression formula is shown below
[tex]undefined[/tex]
How do we calculate slope when given two points on a coordinate plane?
Step-by-step explanation:
Given the coordinates of two points on a line, use the slope formula to find the slope of the line. The slope formula is m=(y2-y1)/(x2-x1) or the change in y value versus the change in x value. The coordinates of the first point represent x1 and y1. The coordinates of the second point are x2, y2.
Answer:
To find the slope, use the formula Rise over Run.
1.) Insert the Y coordinates into their correct space.
2.) Plug in the X coordinates.
3.) Subtract your Y coordinates.
4.) Subtract your X coordinates.
5.) Reduce if needed.
6.) You're done!
Courtney used 1650 inches of ribbon to make 300 hair bows all the same size. how many inches of ribbon does she need to make 1 bow?
Answer:
5.5 inches
Step-by-step explanation: if you divide it, u will get 5.5 inches
13) Which of the following algebraic representations would result in a reduction dilation?A. (x,y) → x,y)C. (x,y) →x,0.75y)AnswerB. (x,y) → (-2x.-2y)D. (x,y) →x,y)acxiy) (tx, tyTriangles JKN and MKL are shown below.KMN14) Which of the following congruency statements is true about the two triangles?Angwer BA. L and ZN ZM B. ZNZL and ZK-ZK2N and CL areCongruentC. ZNZL and ZMD. UN and ZMZL Eck and Zk aze congruen15) Are triangles JKN and MKL similar?Yes16) If you answered YES for question 15, explain how you know they are similar. If you answered NO forquestion 15, explain how you know they are not similar.
16) We know that the triangles are similar because the three angles are equal in both triangles:
The angles in K are opposite by the vertex, so they are equal.
We also know that angles L and N are equal too.
By the rule of the sum of the angles in a triangle, we know that the third angle has to be equal.
Also, the side opposite to the angle N and L in each triangle have the same measure, so we can conclude that the triangles are similar.
will mark branliest
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
circle formula:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Given:
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
put into circle formal format:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]
The center of the circle is at point (h,k)
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
center should be at: (1,-3)
Answer:
lower row, left grid.
Answer:
Lower left, bottm, circle
Step-by-step explanation:
See attached graph
Find an equation of the line parallel to the graph of y = -5x-3 that passes throughthe point of (3,2). Write your equation in slope-intercept form.
Parallel lines has the same slope. In our case, the slope is -5. Then, the searched line has the form:
[tex]y=-5x+b[/tex]where b is the y-intercept.
We can find b by substituting the given point (3,2) into the las equation. Then, we have
[tex]2=-5(3)+b[/tex]which gives
[tex]\begin{gathered} 2=-15+b \\ 2+15=b \\ 17=b \end{gathered}[/tex]Therefore, the parallel lines is given by
[tex]y=-5x+17[/tex]It costs $2.50 to rent bowling shoes. Each game $2.25. Write an equation that represents the cost, c, to bowl after g, number of games
In linear equation, $9.25, you can bowl a maximum of 3 games.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). The dependent variable in this scenario is y since it depends on the independent variable, x.If it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as
C = 2.50 + 2.50x
If you have a total of $9.25, then
9.25 = 2.50 + 2.25x
Subtracting 2.50 from both sides of the equation, we get
9.25 - 2.50 = 2.50 + 2.25x - 2.25
6.75 = 2.25x
Dividing both sides of the equation by 2.25, we get
6.75/2.25 = 2.25x/2.25
x = 3
Therefore, with $9.25, you can bowl a maximum of 3 games.
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If Rie’s legs are 99cm long, and Rie is 165cm tall. What percentage of Rie’s body is legs?
The percentage of Rie's body that is Rie's legs is: 60%.
What is Percentage?A percentage can be defined as an amount in each hundred or, simply put, a proportion of a quantity in relation of a whole.
How to Find the Percentage of a Quantity in a Whole?To find the percentage of a quantity in a whole, divide the quantity by the whole quantity, then multiply the quotient by 100.
The "whole" in this problem is Rie's height, which is: 165 cm
The "quantity" in the context of this question is the length of Rie's leg, which is: 99 cm.
Therefore, to find the percentage of Rie's legs in Rie's body, we have the following:
99/165 × 100
= 0.6 × 100
= 60%.
Therefore, Rie's leg is 60% of Rie's body.
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A researcher numbers each household in the city and uses a random number generator to select individual households for the sample. By chance, none of the households chosen were households of single millennials. This is an example of Answer
. }.
A company's receipts gives a website where customers can fill out a survey to receive a coupon. This is an example of Answer
.
Your friend forgot she was supposed to conduct a poll of your high schools' students. She asks everyone in your homeroom if they think the school should have a new mascot. She presents the results to the student council. This is an example of Answer
undercoverage bias
1. The type of bias that the researcher would be making here based on the fact that the households were not that of single millennials is the sampling bias.
2. The voluntary response bias is the type of bias that is being done where the receipts of the website would be the bias that would occur from the company's website.
3. The under coverage bias is what would happen in this scenario given that the friend would not have to ask all of the persons that would be used for the study.
What is a research bias?This is the term that is used to refer to the systematic error that would occur in research due to the researchers methods.
1. The answer is the sampling error due to the fact that the random generator was what was used. This would end up giving a sample that would not show the true representation of all of the population.
2. The voluntary response bias is what would be made here because those filling the form are doing it voluntarily.
3. The undercoverage bias is made here because the opinion of the entire school population is not well represented here.
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A rental car company charges $53.46 per day to rent a car and $0.13 for every
mile driven. Mei Mei wants to rent a car, knowing that:
She plans to drive
350
miles.
She has at most $260 to spend.
Which inequality can be used to determine d, the maximum number of days
Mei Mei can afford to rent for while staying within her budget?
Answer: 260 is greater than 53.46 times X +.13×350
Step-by-step explanation: You know you have to stay under $260 because that’s all she has so that’s where you get to 260 is greater than
And she knows she’s going to go about 350 miles so 260 is greater than $.13 times 350+5346 times you don’t know how many days so that your variable X
Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.What could Shane do to make his calculation more accurate? A. Use sin(4.5°) in his calculator instead of 0.08. B. Remeasure the angle with a different tool. C. Use the Pythagorean theorem to find the length of the ramp. D. Use a different trigonometric function to find the length of the ramp.
Statement Problem: Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.
First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.
What could Shane do to make his calculation more accurate?
Solution:
The length of the ramp, r, in feet is expressed using the sine ratio;
[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin 4.5^o=\frac{1.5}{r} \\ r=(\frac{1.5}{\sin 4.5})ft \\ \end{gathered}[/tex]Hence, Shane's calculation would be more accurate if he uses sin (4.5 degrees) in his calculator instead of 0.08
CORRECT OPTION: A
explain how you got the answer
Slope - 2/3
y - intercept : (0,3)
x | y
0 | 3
3 | 1
what’s the quadratic formula
2X-3X-3=0?
Find the max and min values
100 +14.75 %
Step-by-step explanation:
100+14.75%
100+14=114
=114.75%
Manuel was examining the product of 48 x 0.73. He realized that he could create other multiplication problems that have the same product. Select whether each expression has the same product as 48 x 0.73. 6.NS.3 No Yes 0 0 43 x 0.78 0 0 4.8 * 7.3 o 0,48 x 73 o 7.8 * 4.3 0 0 480 x 0.073 roto of 283 miles per hour. Nora walks at a rate of
We will solve as follows:
*First: We find out the value of the product:
[tex]48\cdot0.73=35.04[/tex]Now, we find out from the other expressions:
*First:
[tex]43\cdot0.78=33.54[/tex][No]
*Second:
[tex]4.8\cdot7.3=35.04[/tex][Yes]
*Third:
[tex]0.48\cdot73=35.04[/tex][Yes]
*Fourth:
[tex]7.8\cdot4.3=33.54[/tex][No]
*Fifth:
[tex]480\cdot0.073=35.04[/tex][Yes]
Simone Buys A shirt and a hat. The hat costs 6 the shirt costs 5 times as much as the hat. How much more does the shirt cost than the hat? Break up the problem and two small steps use a more models and equation to complete each step find how much to shirt cost find how much more shirt cause then the hat
The equation to find the cost of the shirt is s = 5h and the cost is 30.
What is an equation?An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario
Cost of the hat = 6
The shirt costs 5 times as much as the hat. Therefore, this will be:
s = 5h
where s = cost of shirt
h = cost of hat
The cost will be:
s = 5h
s = 5 × 6
s = 30.
The cost is 30.
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Answer:
11
Step-by-step explanation:
You will just add 6+5=11
a lecture hall at nc state has 220 seats with fold-down writing pedestals, 25 of which are designed for left-handers. an intro. to economics class with 215 students meets in this lecture hall. assume that 13% of the general population is left-handed. question 1. what is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander? (use 4 decimal places.) question 2. what is the probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander? (use 3 decimal places.)
1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.
2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.
What is meant by Binomial probability distribution?The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.
[tex]$P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$[/tex]
In which [tex]$C_{n, x}$[/tex] exists the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]$C_{n, x}=\frac{n !}{x !(n-x) !}[/tex]
And π exists the probability of X happening.
Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.
There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.
There are 215 students, so n = 215.
In this case, a success is a student being right-handed. So [tex]$\pi=0.87$[/tex].
There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find [tex]$P(X \geq 196)$[/tex]. Utilizing a binomial probability calculator, we find that [tex]$P(X \geq 196)=0.0382$[/tex]
So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.
There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.
In this case, a success is a student being left-handed. So [tex]$\pi=0.13$[/tex].
We have to find [tex]$P(X \geq 26)$[/tex].
Using a binomial probability calculator, we have that [tex]$P(X \geq 26)=0.6835$[/tex]
There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.
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Which pair of statements about the lengths of two sides of the triangle is true? 10 9 8 D (8,7) 7 л д) 4 3 2 1 X F(6, 1) 2 3 4 5 6 E (8.1) 8 9 10 1 7 O A. The side length between Dand Eis 7 units. The side length between Eand Fis 2 units. O B. The side length between D and Eis 6 units. The side length between E and Fis 2 units. O C. The side length between D and Eis 2 units. The side length between E and Fis 6 units. O D. The side length between D and Eis 8 units. The side length between Eand Fis 1 units.
Answer:
Choice B.
Explanation:
The side length is the distance between the vertices of the triangle given.
Hi can you help explain this question. I have trouble writing statement and reasons for this question please. I get lost.
For the given figure, we will prove the triangles BGH and BDH are congruent.
So, the proof will be as follows:
Statement Reason
1) m∠F = m∠FEG = m∠FGE Given
2) ΔFGE is an equilateral triangle from (1), the definition of an equilateral Δ
3) FG = GE from (2), the definition of equilateral Δ
4) FG = ED Given
5) m∠ GEH = m∠DEH Given
6) EH = EH Reflexive property
7) ΔGEH ≅ Δ DEH SAS postulate
8) GH = DH from (7) CPCTC
9) m∠GHE = m∠DHE from (7) CPCTC
10) m∠GHB = m∠DHB Definition of supplementary angles
11) HB = HB Reflexive property
12) ΔBGH ≅ ΔBDH SAS postualte
13) ΔAGB is an isosceles Δ Given
14)AG = AB Definition of isosceles Δ
15) ΔBCD is an isosceles Δ Given
16) CB = CD Definition of isosceles Δ
17) CB = AG Given
18) m∠CDB = m∠CBD Definition of isosceles Δ
19) m∠ABG = m∠AGB Definition of isosceles Δ
20) m∠CDB = m∠AGB Given
21) m∠ABG = m∠CBD Transitive property
22) Δ AGB ≅ ΔCBD AAS postualte
Simply the equation 3(6+x)=-18
Answer 3(6 + x) = -18 is 3
Explanation.-18 = 3(6 + x)
-18 = 18 + 3x
3x = 18 - 18
x = 0 + 3
x = 3
____________________
Class: High School
Lesson: Equation
[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}[/tex]
two people dined at the la fiesta grill where the food cost was $36.54 to that a tax of 4.12 was added what ha the percentage of this tax round your answer to the nearest tenth
The percentage of the tax is 11.26%
Percentage:
Percentage is defined as the number or ratio that can be expressed as a fraction of 100. If you want to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
Two people dined at the la fiesta grill where the food cost was $36.54 to that a tax of 4.12 was added .
Here we need to find the tax in percentage.
Let us consider x be the percentage of tax has been added to the food.
The the given details, we have identified the following details,
Amount of the food = $36.54
Tax amount = $4.12
So, it can be written as,
x% of $36.54 = $4.12
Here we need the percentage value so we have to move the other to the right side, then we get,
x% = $4.12/36.54
x% = 0.1126
To convert it into percentage, then we have to multiply it by 100, then we get,
x = 11.26
Therefore, the tax percentage is 11.26%.
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The __________ shows the number of data items with values less than or equal to the upper class limit of each class.
Answer: Cumulative frequency distribution
Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)
pls help me super confused on inequality
Drevae WashingtonExpected ValueMar 08, 1:24:47 PM?Scarlett volunteers on the weekend at the Central Library. As a school project, shedecides to record how many people visit the library, and where they go. On Saturday,429 people went to The Youth Wing, 382 people went to Social Issues, and 424 wentto Fiction and Literature.On Sunday, the library had 1100 total visitors. Based on what Scarlett had recordedon Saturday, about how many people should be expected to go to The Youth Wing?Round your answer to the nearest whole number.Answer:Submit Answerattempt 1 out of 2RIDeltaMath - Googl.W April Spirit WeekResume from vae..
SOLUTION
Given the question in the question tab, the following are the solution steps to answer the question.
STEP 1: Get the total number of visitors on saturday
[tex]382+429+424=1235[/tex]STEP 2: Get the proportion/probability of the people who went to the Youth Wing on Saturday
[tex]\begin{gathered} \Rightarrow\frac{\text{number of Youth Wing}}{\text{Total number of visitors}} \\ \Rightarrow\frac{429}{1235}=0.347368421 \end{gathered}[/tex]STEP 3: Get the expected number of people to visit the Youth Wing on Sunday
[tex]\begin{gathered} \text{Expected value}=\text{proportion}\times total\text{ number of visitors on Sunday} \\ \text{Expected Value=}0.347368421\times1100=382.1052632 \\ \text{Expected Value of people from Youth Wing }\approx382 \end{gathered}[/tex]Hence, the expected number of people to visit the Youth Wing on Sunday is approximately 382 people