The image of the point (2, -3)under a translation is (1, -6)Find the coordinates of the image of the point (9, -5)under the same translation.
Answers
The image of the point (2, -3)under a translation is (1, -6). the coordinates of the image of the point (9, -5)under the same translation is (9,-8).
With the aid of mirror-related concepts, we will first build a diagram of the image position in order to determine the coordinates of the image location. We will use trigonometry to determine the necessary coordinates after sketching the diagram.
Without needing to change its orientation, a translation relocates an item from its original location on the coordinate grid.
An illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape.
Image of the point (2,-3)
under the translation (2,-6)
2+a=2
a=2-2
a=0
-3+b=-6
b=-6+3
b=-3
By applying the translation (x+0,y-3) to (9,-5)
(9+0,-5-3)
(9,-8)
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Related Questions
HELP IF YOU'RE GOOD AT GEOMETRY
Answers
Answer:
y=-2/3+8 would be the correct answer.
Step-by-step explanation:
Using the formula y-y1=m(x-x1), you would have y-4=-2/3(x-6). Next, distribute -2/3 to x and -6 and now you'll have y-4=-2/3+4. Add 4 to both sides to make y by its self and then you'll have y=-2/3+8 as the equation of the line.
A ship’s stability data book gives her load displacement to be 18,000 tonnes and TPC to be 26. If she is now loading in DW of 1.015, by how much may her loadline be immersed so that she would not be overloaded.
Answers
The ship's loadline may be immersed by approximately 0.308 meters.
To determine the maximum allowable immersion of the ship's loadline, we need to calculate the change in displacement caused by the loading of cargo. The TPC (Tonnes Per Centimeter) value of 26 indicates that for each centimeter of immersion, the ship's displacement increases by 26 tonnes.
Given that the ship's load displacement is 18,000 tonnes, we can calculate the change in displacement as follows: 1.015 (DW) - 1.000 (lightship displacement) = 0.015. Multiplying this value by the TPC of 26 gives us 0.015 x 26 = 0.39 tonnes, which represents the increase in displacement due to the cargo loading.
Since the ship's loadline is a measure of the maximum permissible immersion, we divide the increase in displacement by the density of seawater to find the corresponding immersion in meters. The density of seawater is approximately 1 tonne per cubic meter. Therefore, the immersion would be 0.39 tonnes / 1 tonne per cubic meter = 0.39 meters.
However, to ensure that the ship is not overloaded, we need to subtract a safety margin. Depending on the specific regulations and safety factors applicable to the ship, this margin can vary. Let's assume a safety margin of 20% for this example. Subtracting 20% of the calculated immersion, we have 0.39 meters - (0.39 meters x 0.2) = 0.39 meters - 0.078 meters = 0.312 meters.
Therefore, the ship's loadline may be immersed by approximately 0.312 meters to ensure it is not overloaded.
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Please help! Thank u
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Answer: 45
Step-by-step explanati
Answer:
1. SAS2. SSS3. AAS4. AAS5. AAS6. HL7. SAS8. SAS9. SSSWhat is an equation example?
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The definition and explanation of an equation are given below with an example.
in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.
in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-
E²=m²c⁴+p²c²
x²+3x-1=0
70 oranges= 7 oranges × 10 oranges
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(a) What is the present value of $28,500 due 9 periods from now, discounted at 9% ? (For calculation purposes, use 5 decimal places as displayed in the factor table provided. Round answer to 2 decimal places, e.g. 25.25.) Present value of an amount $ (b) What is the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9% ? (For calculation purposes, use 5 decimal places as displayed in the factor table provided. Round answer to 2 decimal places, e.g. 25.25.)
Answers
(a) the present value of $28,500 due 9 periods from now, discounted at 9%, is approximately $14,656.01
(b) the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, is approximately $132,937.51
(a) To calculate the present value of $28,500 due 9 periods from now, discounted at 9%, we can use the present value formula:
Present Value = Future Value / (1 + Interest Rate)^Number of Periods
Plugging in the values, we have:
Present Value = $28,500 / (1 + 0.09)^9
Calculating this expression gives us:
Present Value = $28,500 / 1.9487179487
Present Value ≈ $14,656.01
Therefore, the present value of $28,500 due 9 periods from now, discounted at 9%, is approximately $14,656.01.
(b) To calculate the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, we can use the present value of an annuity formula:
Present Value = Cash Flow * (1 - (1 + Interest Rate)^(-Number of Periods)) / Interest Rate
Plugging in the values, we have:
Present Value = $28,500 * (1 - (1 + 0.09)^(-6)) / 0.09
Calculating this expression gives us:
Present Value ≈ $132,937.51
Therefore, the present value of $28,500 to be received at the end of each of 6 periods, discounted at 9%, is approximately $132,937.51.
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Write the augmented matrix for the following system of equations. -1+y=02 + 7x = -8y
Answers
The system of equations we have is
\(\mleft\{\begin{aligned}-1+y=0 \\ 2+7x=-8y\end{aligned}\mright.\)Now, to find the aumented matrix, we have to have all of the variables in each equation on one side, for this in the first equation we add 1 to both sides of the equation:
\(\begin{gathered} -1+y=0 \\ -1+1+y=0 \\ y=1 \end{gathered}\)And for the second equation we need to add 8y to both sides and substract 2 from both sides (this is to have variables on the left and independent number on the right):
\(\begin{gathered} 2+7x=-8y \\ 7x+8y=-2 \end{gathered}\)Now, the system is left as follows
\(\mleft\{\begin{aligned}y=1 \\ 7x+8y=-2\end{aligned}\mright.\)We represent this a matrix with the following form:
The first line will represent the first equation
The second line will represent the second equation
And the first column will be the x values, and the second column the y values:
\(\begin{bmatrix}{0} & {1} & {1} \\ {7} & {8} & {-2}{}\end{bmatrix}\)I will expand on the meaning of this in the following diagram:
That last one is the aumented matrix of the system.
Solve the equation 3x2 – 15x + 11 = -2x + 2 to the nearest tenth.
Answers
therefore the value of x is x = 1.28
f(x) =x+2 g(x)=x-4 (fg)(x)
Answers
Answer:
x^2-2x-8
Step-by-step explanation:
FOIL the two together and get x^2 for the first, -4x outer, +2x inner, -8 last. Then combine like terms and get x^2-2x-8
Answer:
(fg)(x)) = x² - 2x -8
Step-by-step explanation:
f(x) = x + 2, g(x) = x - 4 (f*g)(x) = ?----------
(fg)(x) = (x-4)(x + 2) = x² - 4x + 2x - 8 = x² - 2x -8 (fg)(x)) = x² - 2x -8Robyn adopted a child who is exactly 28 years younger than her.
In one year's time, Robyn will be 3 times as old as her child will be.
How old is Robyn now?
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In one year Robyn will be r+1 and her child r-27
r + 1 = 3(r - 27)
r + 1 = 3r - 81
r - r + 1 + 81 = 3r - r - 81 + 81
82 = 2r
r = 41
Robyn is 41 years old
PLEASE HELP!!!
Which solid figure could be formed from the net shown?
triangular pyramid
square pyramid
rectangular prism
cube
Answers
I think that it
find formulas for the entries of mn, where n is a positive integer.
Answers
The formula for the entries of \(M^{n}\), where n is a positive integer is \(=\left[\begin{array}{cc}2 \times 9^n-7^n & 7^n-9^n \\2\left(9^n-7^n\right) & 2 \times 7^n-9^n\end{array}\right]\) for M = \(\left[\begin{array}{cc}11 & -2 \\4 & 5\end{array}\right]\) .
Let us find the formula for entries of \(M^{n}\), where n is a positive integer.
Let M be a 2 x 2 matrix \(\left[\begin{array}{cc}11 & -2 \\4 & 5\end{array}\right]\)
we get the eigenvalues and their associated eigenvectors as follows-
Eigenvalue : 9λ , multiplicity : 1λ, eigenvector : [ 1, 1]
Eigenvalue : 7λ , multiplicity : 1λ, eigenvector : [ 0.5, 1]
now, we have
\({\left[\begin{array}{ll}9 & 0 \\0 & 7\end{array}\right] }\) = \(\left[\begin{array}{cc}1 & \frac{1}{2} \\1 & 1\end{array}\right]^{-1}\) \(\left[\begin{array}{cc}11 & -2 \\4 & 5\end{array}\right]\) \(\left[\begin{array}{cc}1 & \frac{1}{2} \\1 & 1\end{array}\right]\)
= \(\left[\begin{array}{cc}2 & -1 \\-2 & 2\end{array}\right]\) \(\left[\begin{array}{cc}11 & -2 \\4 & 5\end{array}\right]\) \(\left[\begin{array}{cc}1 & \frac{1}{2} \\1 & 1\end{array}\right]\)
hence, \(\left[\begin{array}{cc}11 & -2 \\4 & 5\end{array}\right]\) = \(\left[\begin{array}{cc}1 & \frac{1}{2} \\1 & 1\end{array}\right]\) \(\left[\begin{array}{cc}9 & 0 \\0 & 7\end{array}\right]\) \(\left[\begin{array}{cc}2 & -1 \\-2 & 2\end{array}\right]\)
So,
\({\left[\begin{array}{cc}11 & -2 \\4 & 5\end{array}\right]^n } & =\left[\begin{array}{ll}1 & \frac{1}{2} \\1 & 1\end{array}\right]\left[\begin{array}{ll}9 & 0 \\0 & 7\end{array}\right]^n\left[\begin{array}{cc}2 & -1 \\-2 & 2\end{array}\right]\)
\(= \left[\begin{array}{ll}1 & \frac{1}{2} \\1 & 1\end{array}\right]\left[\begin{array}{cc}9^n & 0 \\0 & 7^n\end{array}\right]\left[\begin{array}{cc}2 & -1 \\-2 & 2\end{array}\right]\)
\(=\left[\begin{array}{cc}2 \times 9^n-7^n & 7^n-9^n \\2\left(9^n-7^n\right) & 2 \times 7^n-9^n\end{array}\right]\)
Thus, the formula for the entries of \(M^{n}\), where n is a positive integer is \(=\left[\begin{array}{cc}2 \times 9^n-7^n & 7^n-9^n \\2\left(9^n-7^n\right) & 2 \times 7^n-9^n\end{array}\right]\) for M = \(\left[\begin{array}{cc}11 & -2 \\4 & 5\end{array}\right]\) .
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PLEASE HELP! 15 POINTS! Select the statement that describes this expression: fraction 1 over 2 x (734 − 246). (2 points)
Group of answer choices
Half the sum of 734 and 246
fraction 1 over 2 the difference between 734 and 246
fraction 1 over 2 the quotient of 734 and 246
2 times the difference between 734 and 246
Answers
Answer:
fraction 1 over 2 the difference of 734 and 246.
21.
Ada Mae bought a pen for $1.50 and 3 DVDs that each cost the same amount. She spent $22.50
in all. Which equation models the situation?
A, 1.5+3d=22.5
B. 3(1.5) +d=22.5
C. 3d-1.5=22.5
D. 1.5=22.5+3d
Answers
Items: 1 Pen: 1.50
3 DVDS: ???
Total : 22.50
It is A, 1.5+3d=22.5.
Hope this helps!!!
It is not B because you are not multiplying the number and cost of 3 DVDS by the cost of one pen.
It is not C because you are not subtracting to find the total cost. You are adding.
It is not D because 3d is part of the total cost so that option just doesn't make sense.
Select all that apply
Which of the following name a line in the drawing ?
Answers
Answer:
I think FC but not sure
Step-by-step explanation:
the respn os that we looc at both sides f the line and see what the letters are
Answer:
DB
Step-by-step explanation:
just did it got it correct
Due today Help ASAP thanks if you help
Answers
The area of the circle is 30.2 square feet. Then the correct option is B.
Given that:
Diameter, d = 6.2 feet
Let r be the radius of the circle. Then the area of the circle will be given as,
A = πr² square units
The radius of the circle is given as,
r = d / 2
r = 6.2 / 2
r = 3.1 feet
The area of the circle is calculated as,
A = 3.14 x (3.1)²
A = 3.14 x 9.61
A = 30.1754
A ≈ 30.2 square feet
Thus, the correct option is B.
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WILL GIVE BRAINLIEST TO FIRST ANSWER
Answers
Answer:
Step-by-step explanation:
1st picture on left: no solution
2nd picture on right infinitely many solutions
The distance from the post office to a supermarket is 0.5 km. What is the distance in meters?
Enter your answer in the space provided.
The distance from the post office to the supermarket is
meters.
Answers
Answer:
The answer is 500 meters
Step-by-step explanation:
I got it right
Please mark me as brainly!
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Write the expression with fewer terms. 10x−3y+2x
Answers
Answer:
12x - 3y
Step-by-step explanation:
Add like-terms:
10x + 2x - 3y = 12x - 3y
y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation
Answers
Answer:
In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.
Step-by-step explanation:
Fifty metal spheres, each with a radius of 2 cm, are melted. The melted solution is poured into a box. What is the volume of all the melted solution. Round your answer
to the nearest tenth of a centimeter.
1675.5 cm3
837.8 cm
418.9 cm
33.5 cm
Help me please
Answers
Answer:
The first option is correct 1675.5 cm^3Step-by-step explanation:
Step one:
we are given the radius as
r=2cm, and the number of spheres is 50 in numbers
let us find the volume of one sphere and multiply the area by 50 to get the volume of the 50 spheres
Step two:
\(volume=4/3 \pi r^3\)
\(volume=4/3*3.142 *2^3\\\\volume=100.5/3\\\\volume=33.5\)
The volume of one sphere is 33.5in^3
Hence the volume of the 50 spheres will be
=33.5*50
=1675.7cm^3 approx.
Volume of the melted solution will be 1675.5 cm³.
Radius of each metal sphere = 2 cm
Expression for the volume of the sphere is given by,
Volume = \(\frac{4}{3}\pi r^{3}\)
Here, r = radius of the sphere
By substituting the value of radius in the expression,
Volume = \(\frac{4}{3}\pi (2)^3\)
= 33.51 cm³
Volume of the melted solution = Volume of 50 spheres
Volume of 50 spheres = 50 × (33.51)
= 1675.5 cm³
Therefore, Volume of the melted solution will be 1675.5 cm³.
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!!!! Plz help guys everyone ignore me
):
Answers
Answer:
The first choice
Step-by-step explanation:
Answer:
the 1 choice
Step-by-step explanation:
use the graph below write an equation of the line that passes through the given point and is parallel to the given line
Answers
Two lines are parallel if they have the same slope. Find the slope of the given line to write the equation of another line with the same slope. Then, use the fact that the point (3,-2) should belong to the line to find the equation of the line that we are looking for.
First, locate two points in the given line to calculate its slope. Notice that the points (1,-4) and (2,-1) belong to the line. Use the slope formula to find the slope of this line using the coordinates of these two points:
\(\begin{gathered} m=\frac{\Delta y}{\Delta x} \\ =\frac{(-1)-(-4)}{(2)-(1)} \\ =\frac{-1+4}{2-1} \\ =\frac{3}{1} \\ =3 \end{gathered}\)Then, the slope of this line is 3.
The equation of a line with slope m that passes through the point (x_0,y_0), in slope-point form, is:
\(y=m(x-x_0)+y_0\)Substitute m=3 and (x_0,y_0)=(3,-2):
\(\begin{gathered} y=3(x-(3))+(-2) \\ =3(x-3)-2 \end{gathered}\)We can also write this equation in slope-intercept form by expanding the parenthesis and simplifying terms:
\(\begin{gathered} y=3x-3(3)-2 \\ =3x-9-2 \\ =3x-11 \end{gathered}\)Therefore, the equation of the line that is parallel to the given line and passes through the point (3,-2) is:
\(y=3x-11\)Find the x so that the shapes have the same perimeter. 3x - 3 2x 1 2x - 1 x - 3 2x
Answers
Answer:
5
Step-by-step explanation:
1/2 2/5greater than less than
Answers
we have the numbers
1/2 and 2/5
the given fractions don't have the same denominator
so
Find out an equivalent fraction
1/2 -----> multiply by 5/5
(1/2)*(5/5)=5/10
2/5 ----> multiply by 2/2
(2/5)*(2/2)=4/10
Now compare the fractions
5/10 is greater than 4/10
so
1/2 > 2/5If the base of a rectangle is 12 inches and the area is 72 inches, then what is the height?
Answers
Answer:
6 in
Step-by-step explanation:
Area = base x height
72 = 12 x height
height = 72/12
height = 6
If my answer is incorrect, pls correct me!
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Help meeee!!!!!!!!!!!
Answers
Answer:
response 1 = 55
response 2= 11
Step-by-step explanation:
response 1
5t+8=63
5t+8-8=63-8
5t= 55
response 2
5t=55
t=55/5
=11
what is the y-intercept of the table shown?
Answers
Answer:
the answer is (0,-2) trust bro I did the work
Hmmmmmmmmmmmmmmmmmmmmmmmmm?
Answers
Answer:
a
Step-by-step explanation:
its an exponential function! when you plug it into the calculator it curves
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(1, 9) \text{ and } (4, 6)
(1,9) and (4,6)
Answers
The graph of right angle triangle is attached the difference between the two points is hypotenuse and equal to3√2
How to find the difference between the two pointsinformation given in the question include
points:
(1,9) (4,6)Distance between two points arranged as ordered pair is solved with the formula:
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where:
d = distance = hypotenuse of right angle triangle
x =corresponding points in the x direction
y = corresponding point in the y direction
substituting the values gives:
d = √{(4 - 1)² + (6 - 9)²}
d = √{(-3)² + (3)²}
d = √{9 + 9}
d = √18
d = 3√2
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Please help! If i don’t get this grade up i’m getting grounded.. i’m begging you
Answers
Answer:
19 my person of unidentified gender (random text to make this longer)
if you have to get the answer for 4 multiplied by a number to make it 76 you know you could get the same number by dividing 76 / 4
the answer you can try is 4(x+19)=76