Using translation concepts, the coordinates of the vertices after a rotation 180º clockwise around the origin is:
S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the coordinates (x,y) of the vertices are given as follows:
S(4,10), R(4,3), U(8,3), T(8,10).
The rule for a rotation 180º clockwise around the origin is:
(x,y) -> (-x,-y).
Hence the vertices of the rotated image will be given as follows, applying the above rule:
S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).
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A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
37+1/2-(x+1/4)=9(4x-7)+5
2. Suppose the price of good x increased from 4 birr to 5 birr. Because of change price of good x, quantity demand of good y changed from 5,000 to 6,250. a. Find cross price elasticity of demand b. What types of goods (good x and good y) are?
Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.
Let's calculate the cross-price elasticity of demand using the given information:
a. Find the percentage change in quantity demanded of good Y:
Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100
Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%
b. Find the percentage change in the price of good X:
Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100
Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%
Now, we can calculate the cross-price elasticity of demand:
Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X
Cross-Price Elasticity of Demand = 25% / 25% = 1
b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:
If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.
Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.
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Answer:
Step-by-step explanation:
The points (9, 1) and (6, 0) Fall on a particular line. what is it's equation in slope-intercept form?
Answer:
y = \(\frac{1}{3}\)x - 2
Step-by-step explanation:
[Slope-Intercept Form] y = mx + b
-> m is the slope
-> b is the y-intercept
[Slope] Change in y divided by change in x
\(\frac{0-1}{6-9} =\frac{-1}{-3} =\frac{1}{3}\)
[Y-Intercept] Where the line hits the y-axis
-> Plug in our slope & a point, and solve for b
y = \(\frac{1}{3}\)x + b
1 = \(\frac{1}{3}\)(9) + b
1 = 3 + b
-2 = b
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
y = 1/3x − 2
Formula:
Slope-intercept form: y = mx + b
Hope this helped. Happy new year! :)
one third multiplied by the sum of a and b
Answer:
1/3(a+b)
hope it helps :>
HELP WITH C
5mph buffer what is the new function and graph?
The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The coordinate points from the graph are (10, 550) and (30, 200).
Here, slope = (200-550)(30-10)
= -350/20
= -35/2
= -17.5
Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get
550=-17.5(10)+c
c=550+175
c=725
So, the equation is y= -17.5x+725
Thus, f(n)= -17.5n+725
a) The fine at every speed should go up by $10.
So, the coordinates are (10, 560) and (30, 210)
New slope (m)= (210-560)(30-10)
= -350/20
= -35/2
= -17.5
Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get
560=-17.5(10)+c
c=550+175
c=735
So, the equation is y= -17.5x+735
Thus, f(n)= -17.5n+735
b) The fine at every speed should be doubled in construction zones.
So, the coordinates are (20, 550) and (60, 200)
New slope (m)= (200-550)(60-20)
= -350/40
= -8.75
Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get
550=-8.75(10)+c
c=550+87.5
c=637.5
So, the equation is y= -8.75x+637.5
Thus, f(n)= -8.75n+637.5
Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.
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Multiply.
3√2•2√8•√3•√6
Enter your answer, in simplest radical form, in the box.
The simple radical form is 72√2.
What is simple radical form?
If we know the prime factorization of 32, we can write the simplest radical form of the square root of 32. Thus, the prime factorization of 32 is 2 × 2 × 2 × 2 × 2. If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.
Given,
3√2•2√8•√3•√6
= 3×√2×2×√8×√3×√6
as we know √ab = √a√b
we can write, √8 = √2√4 and √6 =√2√3
we get,
=3×√2×√2×√4×√3×√3×√2
=3×2×2×3×√2
=72√2
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Six is fifteen less than three time a number
Answer:
3x-15=6
Step-by-step explanation:
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
Geena's hair grew 1 1/8 inches in 2 months. How many inches will her hair grow in 1 month?
Answer: 9/16 or 0.5625 or (3/4)^2 inches per month
Step-by-step explanation:
divide by two
(1 1/8) / 2
9/16 or 0.5625 or (3/4)^2
Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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Help me please!!!! If you do this correct, I will mark you the brainliest and this question is worth 50 points so please help me!!!
Answer:
B and C .. thhx
Step-by-step explanation:
y = x^2 - 7x - 5
y = -2x + 19
Subtract:
y-y = x^2 - 7x - 5 - (-2x + 19)
Simplify:
o = x^2 - 5x - 24
Solve the polynomial by finding two numbers when added together equal -5 and when multiplied by each other equal -24
x = -3 and x = 8
Now replace x in the first equation with -3 and solve for y, then replace x with 8 and solve:
y = x^2 -7x -5: y = -3^2 - 7(-3) - 5 = 9 + 21 - 5 = 25
y = 8^2 - 7(8) -5 = 3
The answers are (8,3) and (-3,25)
A child’s sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What is the volume of the sand in the box?
Answer:
50
Step-by-step explanation:
So all you have to do is chance the 3 to a 2.5
5 * 4 * 2.5 = 50
4
A system of equations is shown below.
5x + 2y = -15
2x - 2y = -6
What is the solution to the system of equations?
A
(-3,0)
B
(0, -3)
С
(-3,6)
D (6,-3)
Answer:
the answer for this question is
A(-3,0)
what will be the appropriate scale to represent the below table
We can write the scale factor for the table as {K} = y/x.
What is scaling?Scaling is a procedure through which we draw an object that is proportional to the actual size of the object. Scaling in geometry means that we are either enlarging or shrinking figures so that they retain their basic shape.Given is to determine the scale for the given table.
Since the table is not given, we can learn how to find the scale for the table. A table will be consisting of {x} and {y} coordinates.So, we can write the scale factor as : {K} = y/xTherefore, we can write the scale factor for the table as {K} = y/x.
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answer for this #1 question in math
The sample mean, given the random sample of the company's employees in the frequency distribution will be $17,562.50.
How to approximate the sample mean ?To approximate the sample mean, we need to find the midpoints of the salary ranges to be:
$7,500 for the range $5,001 - $10,000
$12,500 for the range $10,001 - $15,000
$17,500 for the range $15,001 - $20,000
$22,500 for the range $20,001 - $25,000
$27,500 for the range $25,001 - $30,000
Then we multiply midpoints by the number of employees:
$7,500 x 18 = $135,000
$12,500 x 15 = $187,500
$17,500 x 14 = $245,000
$22,500 x 14 = $315,000
$27,500 x 19 = $522,500
$ 1, 405, 000
The sample mean would be the sum of these divided by the number of employees:
Sample mean: $1,405,000 / 80 = $17,562.50
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The length of a shadow of a building is 10 m. The distance from the top of the building to the tip of the shadow is 26 m. Find the height of the building
Answer:
The height of the building is 24m
Step-by-step explanation:
This can be solved using the Pythagorean theorem
which states that the three sides of a right triangle are related by the equation
\(c^2 = a^{2} + b^{2}\) (see figure)
where c is the hypotenuse and a, b are the other two sides
Here we have c = the distance from the top of the building to the tip of the shadow = 26m
One side, the length of the shadow ie b = 10 m
So we have
\(26^2 = a^2 + 10^2\) where a is the height of the building
Switch sides to get
\(a^2 + 10^2 = 26^2\)
\(a^2 + 100 = 676\)
Subtract 100 from both sides
\(a^2 = 676 - 100 = 576\)
\(a = \sqrt{576}\)
a = 24
The height of the building is 24m
Graph the line with slope -1 passing through the point (-1, -2).
Step-by-step explanation:
find point (-1,-2)
go down one
go to the right one
repeat
draw line with arrows at each end
done!
Use the coordinates of the labeled point to find the point-slop equation of the line.
Answer:
this is the correct answer B. y+1= -2(x-2)
Help me on this please
Answer:
uhhhh i dont know
Step-by-step explanation:
Determine the coordinates of polygon A'B'C'D' if polygon ABCD is rotated 180°.
OA'(0, 0), B'(-2, 5), C(5, 5), D'(3, 0)
OA(0, 0), B(2,-5), C(-5, -5), D'(-3,0)
O A'(0, 0), B(-5, -2), C'(5, -5), D'(3, 0)
O A'(0, 0), B'(-5, -2), C'(-5, 5), D'(0, 3)
The coordinates point of polygon A'B'C'D' are: A' (0, 0), B' (-2, 5), C' (-5, 5), and D' (-3, 0).
What is Polygon?A polygon is a two-dimensional geometric shape that is defined by a closed path consisting of three or more straight line segments. These line segments are called sides, and the points where they meet are called vertices. Polygons can have any number of sides, although the most common polygons are those with three (triangles), four (quadrilaterals), five (pentagons), six (hexagons), and eight (octagons) sides.
To find the coordinates of A', B', C', and D', we need to apply a 180° rotation to the coordinates of A, B, C, and D.
The general formula for a 180° rotation about the origin is:
(x', y') = (-x, -y)
Using this formula, we can find the coordinates of A', B', C', and D':
A' = (-0, -0) = (0, 0)
B' = (-2, -(-5)) = (-2, 5)
C' = (-5, -(-5)) = (-5, 5)
D' = (-3, -0) = (-3, 0)
Therefore, the coordinates of polygon A'B'C'D' are:
A' (0, 0), B' (-2, 5), C' (-5, 5), and D' (-3, 0).
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Convert 413 in base 5 to base 10
Answer:
108
Step-by-step explanation:
4×5² + 1×5¹ + 3×5⁰
4×25 + 5+ 3×1
100+5+3
What is the volume of a cylinder, in cubic cm, with a height of 19cm and a base
diameter of 10cm? Round to the nearest tenths place.
Answer:
549.8 cm (cubed)
Step-by-step explanation:
D3lt4 m4th 4n$wer
The diagram below shows a shaded parallelogram drawn inside a rectangle. l=14 h=5
The area of shaded region is = 35\(cm^2\)
According to the shaded region:
We use the Area of rectangle.
And, we know that :
Area of rectangle = L × B
where, l is the length of the length and b is the breadth of the rectangle.
We have to find the area of shaded region.
Area of rectangle is = 10 × 5 = \(50cm^2\)
Now, From the figure
We have to seen that, there is two triangles
Now, Find the area of the triangle
Area of two triangle = \(\frac{1}{2}\) × 3 × 5 + \(\frac{1}{2}\) × 3 × 5 = \(15cm^2\)
Hence, The area of shaded region is :
= 50 - 15
= 35\(cm^2\)
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The given question is incomplete, so i take similar question.
To see the attachment.
Solve the expression
-18 t -6 =
Answer: -1/3
Step-by-step explanation: To solve the equation -18t - 6 = 0, we need to isolate the variable t on one side of the equation.
First, we add 6 to both sides of the equation to get:
-18t = 6
Then, we divide both sides by -18 to get:
t = -6/18
Simplifying -6/18 by dividing both the numerator and denominator by 6, we get:
t = -1/3
Therefore, the solution to the equation -18t - 6 = 0 is t = -1/3.
I need help with my math problem!!!
(-20/2)^2
Answer:
the correct answer is 100
Uri paid a landscaping company to mow his lawn. The company charged $74 for the service plus
5% tax. After tax, Uri also included a 10% tip with his payment. How much did he pay in all?
Uri paid a total of $85.47 for the landscaping service including tax and tip.
What is tax?Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools. Taxes are borne by whoever bears the cost of the tax in economics, whether this is the entity being taxed, such as a business, or the final users of the items produced by the firm. Taxes should be taken into consideration from an accounting standpoint, including payroll taxes, federal and state income taxes, and sales taxes.
Given that company charged $74 for the service plus 5% tax.
The tax is 5%, that is:
Tax = 5% of $74 = 0.05 x $74 = $3.70
Cost after tax = $74 + $3.70 = $77.70
Now, tip is 10%:
Tip = 10% of $77.70 = 0.10 x $77.70 = $7.77
Total cost = $77.70 + $7.77 = $85.47
Hence, Uri paid a total of $85.47 for the landscaping service including tax and tip.
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Which of the following options best describes a bar graph? O A graph that uses lines to compare two sets of data, A graph that organizes data so that it can be compared and contrasted between categories A graph of each data point that is used to determine a trend in the data, a A graph that uses bars to compare data across categories.
Answer:
The last one.
Step-by-step explanation:
Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!
Answer:
9. 31/2 or 15.5( I think that's the answer)
10. B
Step-by-step explanation:
Geometry question. Please help fast.
The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.
We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.
So, both the 1st and 4th points translate and reflect down the triangle A'B'C' which will be mapped according to the triangle ABC.
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