plssssss help I rly need help asap
what is the equation for the perpendicular bisector of the line segment whose endpoints are (-7, 2) and (-1,-6)
The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.
To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.
Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)
= (-8/2, -4/2)
= (-4, -2)
The midpoint of the line segment is (-4, -2).
Next, we need to find the slope of the line segment using the slope formula:
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 2)/(-1 - (-7))
= (-6 - 2)/(-1 + 7)
= (-8)/(6)
= -4/3
The slope of the line segment is -4/3.
Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.
Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4)
y + 2 = (3/4)x + 3
y = (3/4)x + 1.
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What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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need answers before 12:13
Answer/Step-by-step explanation:
17. Slope = rise/run
rise = 5
run = 7
Slope = -⁵/7
18. Slope = rise/run
rise = 4
run = 4
Slope = -⁴/4 = -1
19. Slope = rise/run
rise = 3
run = 5
Slope = -⅗
20. Slope = rise/run
rise = 4
run = 1
Slope = -⁴/1 = -4
Calcula el área de un círculo con circunferencia de 37.68 unidades.
Answer:
Tu respuesta
Step-by-step explanation:
1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/
100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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a small pizza has a diameter of 8 inches what is the circumference
Answer:
Given :-
Diameter of Pizza is 8 inches , radius = 4 inchesTo find :-
Circumference of Circular pizzaSolution :-
Formula for circumference of Circular pizza = 2πrPutting the known values
Circumference = 2 × 3.14 × 4
Circumference = 25.12 cm
. Mai skated miles, and Clare skated farther than that. Write an equation to Accelerated 6 Unit 6 Lesson 1 represent the relationship between the distance Mai skated ( ) and the distance Clare skated ( ).
Answer:
X over y or x/y since y is claire and she skated more
Step-by-step explanation:
since y is claire and she skated more
Y=Clarie skated
X= Mai skated
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
On a coordinate plane, 2 lines are shown. Line C D has points (negative 2, 4) and (0, negative 4). Line F G has points (negative 4, 0) and (4, 2).
Which statement best explains the relationship between lines CD and FG?
They are perpendicular because their slopes are equal.
They are perpendicular because their slopes are negative reciprocals.
They are not perpendicular because their slopes are equal.
They are not perpendicular because their slopes are negative reciprocals
Answer:
To determine whether the lines CD and FG are perpendicular, we need to examine the slopes of the two lines. The slope of a line is defined as the change in y divided by the change in x between any two points on the line.
For the line CD, we can use the coordinates of the two given points to calculate the slope as follows:
slope of CD = (y2 - y1) / (x2 - x1)
slope of CD = (-4 - 4) / (0 - (-2))
slope of CD = -8 / 2
slope of CD = -4
For the line FG, we can use the coordinates of the two given points to calculate the slope as follows:
slope of FG = (y2 - y1) / (x2 - x1)
slope of FG = (2 - 0) / (4 - (-4))
slope of FG = 2 / 8
slope of FG = 1/4
Now we can determine whether the slopes are negative reciprocals. Two slopes are negative reciprocals if their product is -1. Let's check:
slope of CD x slope of FG = (-4) x (1/4) = -1
Since the product of the slopes is -1, we can conclude that the lines CD and FG are perpendicular. Therefore, the statement "They are perpendicular because their slopes are negative reciprocals" is the correct statement that explains the relationship between the two lines.
Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time.
What is the probability that all three number cubes will land on an odd number?
The probability that all three number cubes will land on an odd number is 1/8
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Number of cubes = 3
Sections on each cube = 6
Odd sections on each cube = 3
This means that
P(Odd) = Odd sections/Total sections
So, we have the following representation
P(Odd) = 3/6
Simplify
P(Odd) = 1/2
For the three cubes, we have
P(All odd) = P(Odd)^Number of cubes
Substitute the known values in the above equation, so, we have the following representation
P(All odd) = (1/2)³
Evaluate
P(All odd) = 1/8
Hence, the probability is 1/8
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Answer: 1/8
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The radius of a circle is 3 feet. What is the length of a 75° arc?
Therefore , the solution of the given problem of circle comes out to be arc length 3.93 feet.
How do circles work?Every area of the plane that is separated by a specific amount from this additional point makes a circle (center). As a result, it is a curve made up of spots that are separated from one another on the surface. Additionally, it rotates similarly about the centre at every angle. Every collection of endpoints in the confined, two-dimensional sphere of a circle is uniformly spaced apart from the "centre."
Here,
A circle with a radius of 3 feet is equal to its diameter as follows:
=> C = 2πr = 2π(3) = 6π feet
Since there are 360° of angles in a circle's centre, the angle for a 75° curve is:
5/24 of a complete circle is 75/360.
Therefore, the 75° arc's extent is
5/24 × 6π = 5π/4 ≈ 3.93 feet
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If Robert can only collect 35 pieces of currency each 7 days, and each piece is worth 25 cents, how much cents can Robert get 20 days?
Answer:
If Robert can only collect 35 pieces of currency each 7 days, and each piece is worth 25 cents, Robert can get a total of 700 cents.
Answer:
$25----------------------------
Robert can collect 35 pieces of currency each 7 days.
Number of pieces he can collect each day:
35/7 = 5 piecesNumber of pieces he can collect in 20 days:
5*20 = 100Convert the pieces into money:
100 * 25 cents = 2500 cents = 25 dollarsFind the circumference of a circle that has a diameter of 4 m. Use 3.14 for pi.
C=
m
Answer:
12.56m
Step-by-step explanation:
circumference of a circle=2π(d÷2)=2×3.14(4÷2)=6.28×2=12.56m
Graph f and g
f(x) = -x-4
g(x) = x-4
Answer:
The blue is g(x) while the red is f(x)
the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
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Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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please help me. i really need it
Answer:
4c+6≤−10
4c+6−6≤−10−6 ... subtract 6
4c≤−16...divide both sides by 4
final: c≤−4
5c-3>2
5c-3>2...add 3
5c>5...divide by 5
c>1
Ryan randomly draws equal sized cards labeled with letters A, B, C, D and F from a hat and records the results in the table. Find the theoretical and experimental probabilities of randomly drawing a card that is labeled with the letter C. Frequency A 36, B 50, C 111, D 59, F 44 total 300
Answer:
We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:
P = 1/5 = 0.20
Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.
The experimental probability is:
Pe = 111/300 = 0.37
You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.
Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.
The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.
MAM I NEED HELP WHAT DO I NEED TO PUT!!!!!
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
two-thirds of x plus 6 is greater than 5
Answer:
x>(3/2)
Step-by-step explanation:
(2/3)x+6>5
-6 -6
(2/3)x>1
÷(2/3) ÷(2/3)
x>(3/2)
Write a polynomial
f(x)
in general form that has the following characteristics.
• Degree 3
• Leading coefficient of 4
• One double root at
x = −6
• One root at
x = 5/2
The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.
Polynomials in general form.It follows from the task content that the Polynomial in discuss has;
Degree 3.Leading coefficient of 4.One double root at, x = −6.One root at; x = 5/2.Therefore, the factored form of a polynomial can be written as follows;
P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.
Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).
Hence, the polynomial f(x) in discuss can be written as follows;
f(x) = 4 (x + 6) (x + 6) (x - 5/2)
f(x) = (x + 6) (x + 6) (4x - 10)
f(x) = 4x³ + 38x² + 24x - 360
Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.
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34 M
The point (-1, 3) is the turning point of the graph with equation y = x² + ax + b₁
where a and b are integers.
Find the values of a and b.
In the equatiοn , the value οf a and b is 2 and 4.
What is equatiοn?A mathematical assertiοn that shοws the equality οf twο mathematical expressiοns is what an equatiοn in algebra is defined as. Fοr example, the equatiοn 3x + 5 = 14 is cοmpοsed οf the twο equatiοns 3x + 5 and 14, which are separated by the equal sign.
The equatiοn οf a parabοla in standard fοrm is
y = a(x - h)² + k
where (h, k) are the cοοrdinates οf the vertex and a is the cοefficient οf the x² term.
Here (h, k ) = (- 1, 3 ) and cοefficient οf x² term = 1 , then
=> y = (x - (- 1))² + 3 ,
=> y = (x + 1)² + 3
=> y = x² + 2x + 1 + 3
=> y = x² + 2x + 4
Nοw cοmpare tο y = x² + ax + b
Consequently, a = 2 and b = 4.
Thus, a and b have values of 2 and 4, respectively.
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TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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12% of 50 is what number?
Type the correct answer.
Answer: 6
Step-by-step explanation:
1. 12/100=12%
2. 12/100 x 50/1
3. 600/100
4. 6
5. 12 percent of 50 is 6.
James Kamau stocks and sells cabbages, oranges and mangoes in his grocery at Kitengela market. On Monday last week, he sold 55 cabbages, 100 oranges and 95 mangoes making a total sale of sh. 1,625. On Tuesday, he sold 60 cabbages, 120 oranges and 80 mangoes making a total sale of sh. 1,580. On Wednesday, he sold 75 cabbages, 150 oranges and 120 mangoes making a total sale of sh. 2,175. He buys these items from a distributor at sh.3, sh.2 and sh.6 for a cabbage, an orange and a mango respectively. Required: a) Three simultaneous equations connecting the number of units sold and total sales. (3 Marks) b) The selling price for each. (9 Marks) c) The profit that James Kamau made on each of the three days and his total profits.
a) Let x, y, and z be the selling price of one cabbage, one orange, and one mango, respectively.
From the given data, we can write three simultaneous equations:
Monday: 55x + 100y + 95z = 1625
Tuesday: 60x + 120y + 80z = 1580
Wednesday: 75x + 150y + 120z = 2175
b) To find the selling price of each item, we need to solve the system of equations. We can use any method of solving systems of equations, such as substitution or elimination. Here, we will use the elimination method.
Multiplying the first equation by 6, the second equation by -5, and the third equation by 3, we get:
Monday: 330x + 600y + 570z = 9750
Tuesday: -300x - 600y - 400z = -7900
Wednesday: 225x + 450y + 360z = 6525
Adding all three equations, we get:
255x + 450y + 530z = 8385
Dividing both sides by 5, we get:
51x + 90y + 106z = 1677
Now we can use this equation and any of the original equations to solve for one of the variables. Let's use the first equation:
55x + 100y + 95z = 1625
Multiplying both sides by 106 and subtracting 530 times the first equation from it, we get:
76x + 45z = 43
Solving for x, we get:
x = (43 - 45z)/76
Now we can substitute this value of x into any of the previous equations to solve for y and z. Let's use the third equation:
75x + 150y + 120z = 2175
Substituting x, we get:
75[(43-45z)/76] + 150y + 120z = 2175
Simplifying, we get:
43z/2 - 375/2 + 150y = 825
Solving for y, we get:
y = (825 - 43z/2 + 375/2)/150
Now we can substitute the values of x and y into any of the previous equations to solve for z. Let's use the second equation:
60x + 120y + 80z = 1580
Substituting x and y, we get:
60[(43-45z)/76] + 120[(825-43z/2+375/2)/150] + 80z = 1580
Simplifying, we get:
z = 4.6
Substituting z into the equation for y, we get:
y = 3.45
Substituting z and y into the equation for x, we get:
x = 1.5
Therefore, the selling price for one cabbage is sh. 1.5, for one orange is sh. 3.45, and for one mango is sh. 4.6.
c) The profit that James Kamau made on each of the three days and his total profits:
To calculate the profit, we need to subtract the cost of the items from the revenue generated by selling them.
On Monday:
Cost of cabbages = 55 x 3 = 165 shillings
Cost of oranges = 100 x 2 = 200 shillings
Cost of mangoes = 95 x 6 = 570 shillings
Total cost = 935 shillings
Revenue = 1625 shillings
Profit = Revenue - Cost = 1625 - 935 = 690 shillings
On Tuesday:
Cost of cabbages = 60 x 3 = 180 shillings
Cost of oranges = 120 x 2 = 240 shillings
Cost of mangoes = 80 x 6 = 480 shillings
Total cost = 900 shillings
Revenue = 1580 shillings
Profit = Revenue - Cost = 1580 - 900 = 680 shillings
On Wednesday:
Cost of cabbages = 75 x 3 = 225 shillings
Cost of oranges = 150 x 2 = 300 shillings
Cost of mangoes = 120 x 6 = 720 shillings
Total cost = 1245 shillings
Revenue = 2175 shillings
Profit = Revenue - Cost = 2175 - 1245 = 930 shillings
Total profit over three days:
Profit on Monday + Profit on Tuesday + Profit on Wednesday = 690 + 680 + 930 = 2300 shillings
Therefore, James Kamau made a profit of 690 shillings on Monday, 680 shillings on Tuesday and 930 shillings on Wednesday, with a total profit of 2300 shillings over the three days.
Solve for x and y
I really need help ASAP
Step-by-step explanation:
m)
and y = 1200 sin 30 = 600 lb
you can do this again for x ...except cos
x = 1200 cos 30 = 1039.23 lb
You can check using this:
x^2 + y^2 = 1200^2 For the right triangle (Pyhtagorean Theorem
Which expression is equivalent to 2(x + 7) – 18x + 3?
Answer:-16x+17
Step-by-step explanation:
There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
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please help i’m so tired i’m gonna cry
1)) Select the expressions that
are equivalent to 5(7m + 7) - 9.
35m + 26
5(-9m + 16m + 7) - 9
7m + 26
(7m + 7)5 - 9
Answer:
a) 35m+26
Step-by-step explanation:
5(7m+7)-9
= 35m+35-9
=35m+26
Hope this helps!
Answer:
Step-by-step explanation:
5(7m + 7) - 9
= 5*7m + 5 * 7 - 9
= 35m + 35 - 9
= 35m + 26
answers: 1st, 2nd, and 4th choices