passing through (2,3) and parallel to y=x-4
Answers
\(y = -x + 5\) is the equation of a line through the location \((2,3)\) and parallel to a line \(x+y=4\).
A formula is it an expression?A express can be composed of an integer, a steady, or a combination of integers, variables, and action symbols. Two expressions joined by an assignment operator form an equation.
What are the equations' rules?Balance is algebra's fundamental principle. Everything on one half of the assignment operator in an equation must equal anything that is on the opposite side of the integrand. Keeping that in heart, we have complete control over an equation.
For the equation \(x + y = 4\)
Rewrite the equation in the form \(y = mx + c\)
\(y = -x + 4\)
Compare \(y = -x + 4\) with \(y = mx + c\)
The slope, \(m = -1\)
The equation parallel to \(x + y = 4\) will also have a slope, \(m = -1\)
The line passes through the point \((2, 3)\)
That is, \(x_{1} = 2, y_{1} = 3\)
The point-slope form of the equation of a line is:
\(y - y_{1} = m(x - x_{1} )\)
Substitute \(x_{1} = 2, y_{1} = 3\) into \(y - y_{1} = m(x - x_{1} )\)
\(y - 3 = -1(x - 2)\)
\(y - 3 = -x + 2\)
\(y = -x + 2 + 3\)
\(y = -x + 5\)
The equation of the line that passes through the point \((2,3)\) and is parallel to the line\(x+y=4\) is \(y = -x + 5\)
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The Complete question is:
What is an equation of the line that passes through the point (2,3) and is parallel to the line x+y=4
Related Questions
Solve for the missing angle
Answers
The measure of missing angle is 65°.
What is angle sum property of a triangle?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
From the given triangle 68°, 47° and the missing angle is x.
By angle sum property of triangle, we get
68°+47°+x=180°
115°+x=180°
x=65°
Therefore, the measure of missing angle is 65°.
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A marina is in the shape of a coordinate grid. Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are ____ units apart. 6.2 7
Answers
The boats are approximately 9.4 units apart.
To find the distance between two points in a coordinate plane, we can use the distance formula:
distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)
Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):
distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)
distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)
distance =\(\sqrt{(88.36)}\)
distance ≈ 9.4
Therefore, the boats are approximately 9.4 units apart.
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Use completing the square to solve for x in the equation (x-12)(x+4)= 9.
Answers
Answer:
x=4+√73 or x=4−√73
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x^2−8x−48=9
Step 2: Add 48 to both sides.
x^2−8x−48+48=9+48
x^2−8x=57
Step 3: The coefficient of -8x is -8. Let b=-8. Then we need to add (b/2)^2=16 to both sides to complete the square.
Add 16 to both sides.
x^2−8x+16=57+16
x^2−8x+16=73
Step 4: Factor left side.
(x−4)^2=73
Step 5: Take the square root.
x−4=±√73
Step 6: Add 4 to both sides.
x−4+4=4±√73
x=4±√73
x=4+√73 or x=4−√73
Answer:
x=4+√73 or x=4−√73
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Q1) Describe in detail about types of Aflaj systems in Oman using neat sketches. (2) Describe in detail about (a) Falaj water administration, and (b) Falaj water utilization Q3) Write in detail about
Answers
There are 5 common types of Aflaj systems in Oman.
Falaj Daris: This is the most widespread type of aflaj system in Oman, where an underground channel brings water from a source, such as a spring or well, to the agricultural fields. The channel is typically made of stone or concrete and is supported by a series of underground tunnels and open-air canals.
Falaj Al-Khatmeen: This Alfaj System can be identified by its circular design where the circular design helps distribute water evenly to different areas of the agricultural fields. The main channel forms a loop, with the water flowing in a circular path.
Falaj Al-Ghail: It is characterized by its large underground tunnels, which can be several kilometers long. These large tunnels are supported by smaller channels and can deliver water to a wide area. This is found in the Al Batinah region of Oman.
Falaj Al-Muyassar: This system is often used in areas where the water source is relatively close to agricultural lands. A small channel brings water from a source to the fields.
Falaj Al-Jaylah: This type of Aflaj system is found in the mountainous regions It often involves the construction of terraces and diversion structures to control the flow of water and gravity brings water from higher elevations to lower areas.
Q2)
The management and governance of water resources in Aflaj systems is known as Aflaj Water Administration. A council or a local committee is responsible for allocating water, maintaining the infrastructure, resolving disputes, making decisions, and engaging the community.
The aim is to ensure fair water distribution, proper maintenance, conflict resolution, and community involvement in preserving the Aflaj system's sustainability and cultural significance.
Q3)
The practical application of water from Aflaj systems for agricultural irrigation, crop selection, timing, and rotation is known as Falaj water utilization. The goal of Falaj Water Utilization is to maximize the utilization of Falaj water for sustainable agriculture, livelihood support, and preservation of cultural heritage.
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Correct Question
Q1) Describe in detail about types of Aflaj systems in Oman using neat sketches.
Q2) Describe in detail the Falaj water administration
Q3) Describe in detail the Falaj water utilization
0.09 is one tenths of
Answers
Answer:
0.9
Step-by-step explanation:
Hope it helps you
Answer:
if it`s one tenth, multiply 0.09 by 10
0.09 is one tenth of 0.9
I need an answer and I’m offering a lot!!
Given: angle 8 and angle 6 are corresponding
angles. Identify the transversal.
Answers
I don't know how to do 2x-y=3
Answers
Answer:
x=2 y=1
Step-by-step explanation:
Answer:
y=2x-3
Step-by-step explanation:
how long does it take for the speed of light to get from the sun to mars
Answers
Answer:
Step-by-step explanation:
The planet Mars is about 141.6 million miles away from the Sun. The speed of light is about 186,000 miles per second. It would take approximately 761 seconds (or 12 minutes and 41 seconds) for light to get from the Sun to Mars.
Calculate the forecasted registrations for years 2 through 12 using exponential smoothing, with a smoothing constant ( α ) of 0 . starting forecast of 4.00 for year 1 (round your responses to one decimal place):
Answers
The forecasted registrations for years 2 through 12 using exponential
smoothing, with a smoothing constant (α) of 0 and a starting forecast of 4.00 for year 1 are:
Year | Forecasted registrations
------- | --------
2 | 4.00
3 | 4.00
4 | 4.00
5 | 4.00
6 | 4.00
7 | 4.00
8 | 4.00
9 | 4.00
10 | 4.00
11 | 4.00
12 | 4.00
Exponential smoothing is a forecasting method that uses past data to predict future values. The smoothing constant (α) determines how much weight is given to the most recent data. In this case, we are using a smoothing constant of 0, which means that all of the weight is given to the most recent data. This means that the forecasted registrations for all years will be the same as the starting forecast of 4.00.
Here is the formula for exponential smoothing:
```
Forecasted registrations = α * most recent data + (1 - α) * previous forecast
```
In this case, α = 0, so the formula becomes:
```
Forecasted registrations = most recent data
```
Since the most recent data is always 4.00, the forecasted registrations will always be 4.00.
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pin this .. please!! answer my question i will make you brainlist
Answers
Answer:
Rs 525.5518.5%Step-by-step explanation:
Given:
Rate of interest is rTime = 2 yearsSum = PP(c) = 738P(s) = 720Use formulas:
P(c) = P*(1 + r)²P(s) = P*(1 + r*2)Substitute the known values:
P(1 + r)² = 738 ⇒ P = 738/(1 + r)²P(1 + 2r) = 720 ⇒ P = 720/(1 + 2r)Eliminate P and solve for r:
738/(1 + r)² = 720/(1 + 2r)738(1 + 2r) = 720(1 + r)²Solving the quadratic equation we get:
r ≈ 0.185 (or 18.5%)Now find P:
P = 720/(1 + 0.185*2) ≈ 525.55Is the table in the picture showing a proportional relationship
Answers
Anya has $25,000 which she recently received from a trust fund, which she intends to invest in an account earning 12% annually. a) How many years would it take Anya to accumulate $40,000. b) If Anya's goal is to save $40,000 in just 3 years, what rate of return must she earn annually on her account. Show all workings and formulae
Answers
a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.
a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:
Future Value = Present Value * (1 + interest rate)ⁿ
Where:
Future Value = $40,000
Present Value = $25,000
Interest rate = 12% = 0.12
n = number of years
Substituting the given values into the formula, we have:
$40,000 = $25,000 * (1 + 0.12)ⁿ
Dividing both sides of the equation by $25,000, we get:
(1 + 0.12)ⁿ = 40,000 / 25,000
(1.12)ⁿ = 1.6
To solve for n, we can take the logarithm of both sides of the equation:
n * log(1.12) = log(1.6)
Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:
n * 0.0492 = 0.2041
n = 0.2041 / 0.0492 ≈ 4.15
b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:
Future Value = Present Value * (1 + interest rate)ⁿ
$40,000 = $25,000 * (1 + interest rate)³
Dividing both sides of the equation by $25,000, we have:
(1 + interest rate)³ = 40,000 / 25,000
(1 + interest rate)³ = 1.6
Taking the cube root of both sides of the equation:
1 + interest rate = ∛1.6
Subtracting 1 from both sides, we get:
interest rate = ∛1.6 - 1
Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:
interest rate = 1.126 - 1 ≈ 0.126
To express the interest rate as a percentage, we multiply by 100:
interest rate = 0.126 * 100 = 12.6%
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given two sorted arrays of sizes m and n respectively, design an algorithm that returns the median of the (m n) numbers in these two arrays in o(log(m n)) time.
Answers
To find the median of two sorted arrays of sizes m and n, we need to merge the two arrays into one sorted array and then find the median of that array. However, we can't simply merge the two arrays using a linear approach as it would take O(m+n) time, which doesn't meet the requirement of O(log(m+n)) time. Instead, we can use a binary search algorithm to find the median in O(log(m+n)) time.
The basic idea is to compare the medians of the two arrays and eliminate half of the elements from one or both of the arrays based on their comparison with the median. We keep doing this until we are left with only one or two elements, and then we can easily calculate the median.
Here's how the algorithm works:
1. Initialize two pointers, one for each array, and set their values to the beginning and end of the respective arrays.
2. Calculate the midpoints of the two arrays and compare their values.
3. If the median of the first array is greater than the median of the second array, then we know that the median of the combined array will be in the first half of the first array and the second half of the second array. So we can eliminate the second half of the second array and the first half of the first array by adjusting the pointers accordingly.
4. If the median of the second array is greater than the median of the first array, then we know that the median of the combined array will be in the second half of the first array and the first half of the second array. So we can eliminate the first half of the second array and the second half of the first array by adjusting the pointers accordingly.
5. Repeat steps 2-4 until we are left with only one or two elements.
6. If we are left with one element, then that element is the median. If we are left with two elements, then the median is the average of the two elements.
This algorithm runs in O(log(m+n)) time because we are eliminating half of the elements in each iteration, which results in a logarithmic time complexity.
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What is the spatial relationship between a rectangle and a parallelogram?
Answers
Answer:
a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.
Step-by-step explanation:
Explanation:
A rectangle has the following properties:
Has 4 sidesHas 4 right anglesOpposite sides lengths are equal.Diagonals of rectangle are equal.Opposite sides are parallel.A parallelogram has the following properties:
Has 4 sidesOpposite angles are equal.Opposite sides are equal.Opposite sides are parallel.The similiarities between a rectangle and a parallelgram:
Has 4 sidesOpposite sides are parallel.Opposite sides are equal.Opposite sides lengths are equal.The difference between a rectangle and a parallelogram:
The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.
What is the area of the pentagon, rounded to the nearest tenth?
13.8 cm2
17.3 cm2
32.7 cm2
69.0 cm2
Answers
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
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Geometry
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answers
Answer:
13. x = 52.8°
14. 663.65 ft
15. 30.7 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.
__
13.The sides adjacent and opposite the angle are marked. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(x°) = 2.5/1.9
The angle is found using the inverse tangent function:
x° = arctan(2.5/1.9) ≈ 52.8°
__
14.Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.
Tan = Opposite/Adjacent
tan(11°) = (129 ft)/(distance to shore)
distance to shore = (129 ft)/tan(11°)
distance to shore ≈ 663.65 ft
__
15.In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.
Sin = Opposite/Hypotenuse
sin(71°) = (29 ft)/(ladder length) . . . . substitute given information
ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length
ladder length ≈ 30.7 ft
Pls help as fast as possible
Answers
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
A town's population was 3800 in 2005 and growing at a rate of 2% every year. Find the town's population in 2025.
Answers
The town's Population in 2025 is estimated to be approximately 5643.
The town's population in 2025, we need to calculate the population growth over the 20-year period from 2005 to 2025.
Given that the population in 2005 was 3800, and it grows at a rate of 2% every year, we can calculate the population for each year using the formula:
Population = Initial Population * (1 + Growth Rate)^Number of Years
Substituting the given values into the formula:
Population in 2025 = 3800 * (1 + 0.02)^20
Calculating this expression:
Population in 2025 = 3800 * (1.02)^20
Using a calculator or software, we can find the population in 2025:
Population in 2025 ≈ 3800 * 1.485947
Population in 2025 ≈ 5643.47
Therefore, the town's population in 2025 is estimated to be approximately 5643.
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in ordinary form 1.46 ×10^-2
Answers
Answer:
Hi
Please mark brainliest
Step-by-step explanation:
1.46 × 10^-2 = 0.0146
What is the length of the sides of this equilateral triangle?
3x + 6
6x - 3
9x - 12
Answers
Answer:
15
Step-by-step explanation:
In an equilateral triangle all the sides length are the same. Set two sides equal to each other and solve for x
3x + 6 = 6x - 3 Subtract 3x from both sides
6 = 3x -3 Add 3 to both sides
9 = 3x Divide each side by 3
3 = x
Now that we know x is 3, plug this into the expression for any side and find the side length
3x + 6
3(3) + 6
9 + 6 = 15
Can someone help me how to do these two please
Answers
Answer:
1.B
2.B
hope this helps
Answer:
B. 62mph
B. 55weeks
Step-by-step explanation:
496 ÷ 8 = 62
15weeks/3houses = x weeks/11houses
15 × 11 ÷ 3 =55weeks
good luck, i hope this helps :)
a metal box that is in shape of cuboid has the following dimensions. the length is 9 inches, width is 2 inches and height is 1. 5 inches. find the total cost of silver coating the entire box if the cost of coating is $2.50 per Sq. inches
Answers
Given:
Length of a box is 9 inches, width is 2 inches and height is 1.5 inches.
The cost of silver coating is $2.50 per sq. inches.
To find:
The total cost of silver coating for the box.
Solution:
The total surface area of a cuboid is
\(A=2(lb+bh+hl)\)
Where, l is length, b is breadth and h is height.
Putting \(l=9,b=2,h=1.5\), we get
\(A=2(9\times 2+2\times 1.5+1.5\times 9)\)
\(A=2(18+3+13.5)\)
\(A=2(34.5)\)
\(A=69\)
So, the total surface area of the box is 69 square inches.
Cost of silver coating is $2.50 per sq. inches. So, the cost of silver coating for the box is
\(Cost=69\times 2.50\)
\(Cost=172.50\)
Therefore, the cost of silver coating for the box is $172.50.
The domain of a certain exponential function is all real numbers. The range of the function is all real
numbers greater than -3. The graph of the function has a horizontal asymptote at y = -3.
Select a graph or graphs to fit the description of the function.
Answers
One exponential function with the given features is y = 2^x - 3, and is graphed at the end of the answer.
How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x + c.
In which:
a is the initial value.b is the rate of change.c is the horizontal asymptote.The graph of the function has a horizontal asymptote at y = -3, hence:
c = -3.
For a and b, they can assume any non-negative values, hence we attribute these following values:
a = 1, b = 2.
The graph is given at the end of the answer.
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find x
(4x - 3) – ( x + 5) = 3(10 - x)
please.....
Answers
Answer: 19/3
Step-by-step explanation:
\(4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}\)
Describe the Transformation that takes place from the parent function f(x)=x^2
Answers
Answer:
flipped over the x-axis
vertical stretch of 2
Step-by-step explanation:
HELLP PLZ I WILL MARK BRIANLIEST PLZZ ASAP
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 14 8 16 9 18 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordina
Answers
Answer:
(1,2)
(2,4)
(3,6)
The graph below shows the amount of money charged by two electricity providers per month, depending on the amount of electricity used. Calculator EN allowed a) Alexander uses 240 kWh of electricity per month. Which provider would be cheaper for Alexander? b) Lawrence uses 180 kWh of electricity per month. How many more kWh of electricity would Lawrence have to use per month to mean that he would be charged the same amount of money by provider A as by provider B? If your answer is a decimal, give it to 1 d.p. Cost per month (£) 0 Provider A y= +25 12 Provider B +35 y=200 Electricity usage per month (kWh)
Answers
Answer:
a) provider A.
b) 120 kwh.
Step-by-step explanation:
chegg use the gram-schmidt process to determine an orthonormal basis for the subspace of p2 spanned by the polynomials f(x), g(x) and h(x).
Answers
To determine an orthonormal basis for the subspace of p2 spanned by the polynomials f(x), g(x), and h(x), we can use the Gram-Schmidt process. This process allows us to transform a set of linearly independent vectors into an orthonormal set.
Let's go through the steps of the Gram-Schmidt process for this specific problem Start with the first polynomial, f(x), as our first vector. Normalize f(x) by dividing it by its magnitude (or norm). This will give us our first orthonormal vector, let's call it u1. Next, we move on to g(x), the second polynomial. Subtract the projection of g(x) onto u1 from g(x) itself. The projection of g(x) onto u1 is found by taking the dot product of g(x) and u1, and then multiplying u1 by this dot product. Subtracting this projection from g(x) gives us a new vector, which we'll call v2.
Normalize v2 by dividing it by its magnitude. This will give us our second orthonormal vector, u2. Finally, we move on to h(x), the third polynomial. Again, we subtract the projections of h(x) onto u1 and u2 from h(x) itself. The projection of h(x) onto u1 and u2 is found by taking the dot product of h(x) and each u vector, and then multiplying the respective u vector by these dot products. Subtracting these projections from h(x) gives us a new vector, which we'll call v3. It's important to note that the Gram-Schmidt process can be applied to any set of linearly independent vectors to obtain an orthonormal basis. The resulting orthonormal basis is useful in various areas of mathematics, such as solving systems of linear equations and diagonalizing matrices.
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In a table of values, if the pattern is adding 5, is the relationship additive
or proportional? *
Answers
Answer:fhhxijcubv
Step-by-step explanation:
Cvhgghjbghv
x/4 +6 ≤ x+8 inequality
Answers
Answer:
Solution in photo
Step-by-step explanation:
