A polygon undergoes a combined transformation of T3.2) (Ro, 90). The vertex (5,2) of the polygon maps to what final image?
А
(-4,8)
B.
(-2,5)
С
(1,7)
D
(5.-3)
Answers
The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The preimage of the vertex of a polygon is, (5, 2).
Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).
Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).
We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).
Therefore, The vertex of the polygon will be at (- 4, 8).
learn more about transformations here :
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Related Questions
Help it’s confusing please
Answers
Answer:
She had $150 in the beginning before she bought the swimming items.
Step-by-step explanation:
You have the right numbers for the equation but you also times the money she had in total.
The equation is x-3(44)=18
44 is the total for one daughter and you times that by three to get for three duaghters.
Then you multiply -3 and 44 which is -132.
Which would be x-132=18
Now you would move -132 to the other side which would be +132 →x=18+132
x=150
Find the value of 2cosx+1=0;0 less than x less than 360°
Answers
Answer:
120°; 240°
Step-by-step explanation:
Let's first solve for [tex]cosx[/tex]: [tex]2cosx=-1 \rightarrow cosx=-\frac12[/tex] At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is [tex]-\frac12[/tex] on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.
Noir drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level. Let y represent noir’s altitude in meters relative to sea level after x hours.
Answers
Answer:
y(x) = -400 m + (700 m/hr)x
Step-by-step explanation:
Let y = 0 represent sea level. Noir's initial altitude was -400 m. In two hours she went from -400 m to +1000 m, a positive change of 1400 m. Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or
rate of ascent = 1400/2 m/hr = 700 m/hr
Thus, an equation describing her altitude relative to sea level after x hours is
y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed. This formula correctly predicts the altitude after two hours:
y(2) = -400 m + (700 m/hr)(2 hr) = 1000 m above sea level.
Astore pays $927.40 for a water heater and marks the price up by 5%. What is the new price?
Answers
Answer:
$973.77
Step-by-step explanation:
$927.40 = 100%
New price = 100% + 5%
New price = 105% of 927.40
105% of 927.40 = 1.05(927.40)
1.05(927.40) = 973.77
-Chetan K
[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly
Answers
[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜
Which student used the correct steps to construct rhombus PQRS?
Answers
Answer:
Student 1
Step-by-step explanation:
In order to accomplish the next step of construction PS║QR, the angle LQM must be copied to make angle NPT. That is done by drawing arc NT (centered at P) so it has the same (chord) length as arc LM.
This step is only accomplished by Student 1.
Pls help me on this
Answers
Answer:
I don't understand anything. if I was know of course I will help you
Write 49 as a product of primes
Answers
Answer:
7×7 = 49
Step-by-step explanation:
7 is a prime number. 7×7= 49 (product of primes)
Is that the right answer
Answers
Answer:
Yes
Step-by-step explanation:
Loss=(C.P)-(S.P)
C.P= x and S.P= y
Loss= x-y
Loss= $(x-y)
x m 1,5 m and 1,5 m
Answers
x² = (1,5)² + (1,5)²
x² = 2,25 + 2,25
x² = 4,5
x = 2,1m
[tex]\bold{\underline{Solution : -}}[/tex]
[tex]\sf a^2 + b^2 = c^2[/tex][tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]
[tex]\sf x^2 = 2.25 + 2.25 [/tex]
[tex]\sf x^2 = 4.5 [/tex]
[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]
Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set up, so Willie agrees to contribute $12,000 more than Bruno. How much money will Willie contribute?
Answers
The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
Let amount contributed by Willie be x
Let amount contributed by Bruno be y
Since Willie agreed to contribute $12,000 more than Bruno;
Therefore;
x - y = 12000....…....... equation (1)x + y = 50,000...…....... equation (2)By solving the system of equations simultaneously;
2x = 62000x = 31000and y = 50,000 - 31000y = 19,000In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
Read more:
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help me with math lol!!!
Answers
Answer:
x=7
Step-by-step explanation:
3*7=21
21-9=12
The system of equations below form a line and a parabola. Select all possible solutions to this system from the answer choices below.
2 + y = 5
2? + y = 11
A(-2,7)
B(7,2)
C(3,2)
D(2,3)
ח
F(5,0)
Answers
Answer:
B dude also also watch out the jews are coming
enumerate all the given.
if 15,000 pesos is deposited in an account that pays 5% compounded annually, How much will be in the account after 8 years?
Answers
Answer:
22161.83 pesosStep-by-step explanation:
Given:
Deposit P = 15000Rate of interest r = 5% = 0.05Compound number n = 1Time t = 8Amount after 8 years:
A = P(1 + r)^tA = 15000(1 + 0.05)^8 = 22161.83Rate of interest=r=0.05
So
Amount
P(1+r)^t15000(1+0.05)⁸15000(1.05)⁸22161.83 pesosSelect all the parallelograms.
Answers
Step-by-step explanation: In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
it's rise/run 3/2
Step-by-step explanation:
you rise positive 3 and run 2
800 students were surveyed to find out their favorite subject. 35% chose math. How many students chose math.
Answers
help please will give brainliest !!!!
Answers
Answer:
a) alternate interior angles
b) vertical angles
c) corresponding angles
d) linear pair
Step-by-step explanation:
Alternate interior angles:
formed when a transversal intersects two lines on the same plane located on the inside/interior side of the parallel lines, but they're on the opposite sides these angles are congruent Example: angles D and EVertical angles:
pair of opposite angles formed by lines that intersect these angles are congruentExample: angles E and HCorresponding angles:
angles that have the same relative position, formed by a transversal intersecting two parallel lines these angles are congruent Example: angles A and ELinear pair:
pair of adjacent angles formed by two intersecting linesangles have measures that add up to 180 degreesExample: angles C and DFind an expression which represents the difference when (-x+9y) is subtracted from (-6+4y)
Answers
Answer:
x - 5y - 6
Step-by-step explanation:
- 6 + 4y - ( - x + 9y) ← distribute parenthesis by - 1
= - 6 + 4y + x - 9y ← collect like terms
= x - 5y - 6
I hate maths pleas help
Answers
Answer:
These should be the answers you are looking for.
A: 62
B: 8.9
C: 2.8
This should be correct, but please tell me if it isnt.
Explanation:
The simplest way to figure this out is by counting how many marks there are on the number line. If the numbers are betweeen 1 and 2 on a number line for example, youll want to use decimals.
Example of a problem:
I--I--I--I--I--I--I--I--I--I--I
1 ^ 2
Count the markings like this: 1.1, 1.2, 1.3, 1.4, 1.5 .
the furthest you can go with a decimal until you get a full number is 0.9.
If you are solving a question with full numbers (example: 20 through 30), you would count normally.
I--I--I--I--I--I--I--I--I--I--I
20 ^ 30
The answer would be 25 for this one.
I hope this helps you out in the future.
Math definetly sucks, especially common core. I feel you.
Why is it possible for condition means to differ at the end of an experiment even if the independent variable had no effect
Answers
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
A graph titled Brenda's Monthly Cell Phone Bill has hours used on the x-axis and cell phone bill (dollars) on the y-axis. Points plotted are (1, 27), (2, 39), and (3, 51).
Answers
Answer: Well all you have to do Is find the Rise over run.
Step-by-step explanation:
Then you will have your answer :)
Answer:
Step-by-step explanation:
12
What is 6 percent of 435000
Answers
Answer:
26,100
Step-by-step explanation:
[Given] 6 percent of 435000
[6% as a decimal] 0.06 of 435000
[Multiply] 26,100
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
A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?
Answers
Hello there! :)
First, let’s find the slope.
We can find it using this formula:
m=y2-y1/x2-x1
m=7-6/8-4
m=1/4
So the slope is 1/4.
Now, we can use the point-slope formula:
y-y1=m(x-x1)
y-6=1/4(x-1/4)
Hope it helps. :)
~MagicalNature
Which set of ordered pairs does not represent a function?
a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
Submit Answer
Answers
Answer:
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
Definitions:A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values). The set of first components is the input, also referred as the domain. The set of second components is the output, also referred as the range.In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.
Solution:Option 1: {(-6, -9), (-2, -3), (–9,2), (2, -3)} ⇒ This relation is a function. Each input has one corresponding output.
Option 2: {(-2,0), (-5,8), (7,9), (6,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 3: {(6,9), (-7,8), (1, –4), (8,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.
Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.
Answer:
the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.
What is the measure of
Answers
Answer:
∠ ABC = 108°
Step-by-step explanation:
The 2 given angles are vertically opposite and are congruent , that is
4x + 8 = 3x + 33 ( subtract 3x from both sides )
x + 8 = 33 ( subtract 8 from both sides )
x = 25
Then
∠ ABC = 3x + 33 = 3(25) + 33 = 75 + 33 = 108°
what is the value of 8^-1/3
Answers
Answer:
2
Step-by-step explanation:
cube root of 8
Cuál es la razón que indica el avance de un automóvil a 40000 m en 60 minutos?
Answers
La razón que indica el avance de un automóvil a 40,000m en 60 min es 666.67 m/min
Queremos obtener la razón entre la distancia avanzada por un automóvil y el tiempo en el que se avanza esta distancia.
Recordamos que:
velocidad = distancia/tiempo.
Entonces lo que calcularemos es la velocidad, en promedio, del autmóvil.
Tenemos:
distancia = 40,000mtiempo = 60minVelocidad = 40,000m/60min = 666.67 m/min
Sí quieres aprender más, puedes leer:
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Can someone please help? I'll give brainliest if correct
Answers
Answer:
vertex = (7, - 2 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = x² - 14x + 47
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 14x
y = x² + 2(- 7)x + 49 - 49 + 47
= (x - 7)² - 2 ← in vertex form
with vertex = (7, - 2 )
Whoever answers in simplest form gets brainliest, 5 stars, and a thanks. Please help asap.
Answers
Answer:
18.725
Step-by-step explanation:
4 5/8 = (4*8 + 5) /8 = 37/8
10 7/10 = (10*10 + 7) / 10 = 107/10
3 2/5 = (3*5 + 2) / 5 = 17/5
lcm of 8, 10, 5 is 40
37/8 + 107/10 - 17/5
= (37*5 + 107*4 - 17*8) / 40
= (185 + 428 + 136) / 40
= 749/40
= 18.725