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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A rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?
please help i will mark as brainlyst
Answer: 1051.875 inches^3
Step-by-step explanation:
To find the volume of the briefcase, we'll use the formula: L*W*H where;
L = Length
W = Width
H = Height
So we'll have (16.5×12.75×5) inches^3
Which will give 1051.875 inches^3
Lily is having her birthday party at Party Place. They charge $45 for the party and $10 for each guest at the party. How many friends can Lily invite to the party if she has a budget of $125?
Answer:
Lily can invite 8 friends ,
10 times 8 equals 80
80 plus 45 equals 125
Step-by-step explanation:
HELP! HL theorem. Congruent. Geometry algebra. Triangles. Shapes. Math.
Answer:
x = 3
Step-by-step explanation:
x² + 15 = x² + 5x
15 = 5x
15 ÷ 5 = x
3 = x
Drag steps and expressions into place to explain and show how to evaluate x⋅y for x=3 and y=9.
your pics not loading in
Answer:
1. Substitute 9 for y..............................3 x y
2. Substitute 3 for X .......................................3x 9
3. multiply ................................... 27
Step-by-step explanation:
Airline fares are $200 for first class and $150 for business class. If a flight had
52 passengers who paid a total of $8500. How many first class passengers.
we’re on the trip?
Answer:
14 first class passengersStep-by-step explanation:
Set a system of equations as below:
x + y = 52200x + 150y = 8500Multiply the first equation by 150 and subtract from the second equation.
This will eliminate y, solve for x:
200x + 150y - 150x - 150y = 8500 - 150*5250x = 700x = 700/50x = 14which statement correctly compares the function shown on this graph with the function y = 3x - 6?
Answer:
Perpendicular
Step-by-step explanation:
The equation of the graph is y = 1/3x + 4
The slope 1/3 and 3 are opposite reciprocals, which indicates that the two lines are perpendicular.
-Chetan K
dose anyone know the answers?
Answer:
Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think
Step-by-step explanation:
-7/10 + 7 2/3
show all ur work
Answer:
-7/10 + 7 2/3 = 209/ 30 = 6 29/ 30 ≅ 6.9666667
Hope This Helps!!!
Answer:
6 29/30 or 209/30
Step-by-step explanation:
-7/10+ 7 2/3
-7/10+23/3
-21/30+ 230/30
209/30
which is 6 29/30
Solve the equation for y. Then find the value of y for each value of x.
2x - 5y = 11; x = -1,0, 1
Solve the equation for y.
y =
When x = -1, the value of y is
When x = 0, the value of y is
When x = 1, the value of y is
x/7 + y/5 =12
2x/5 - y/7 =9
Answer:
x = 35 ,y = 35
Step-by-step explanation:
x = 35
y = 35
what is coefficient of 10 and a constant of 5?
Answer:
10x+5.................
Explain how to use a model to represent the division of two fractions.
Please help with this it's due in 20 mins!
Answer:
You can use the model to show the fractions alongside each other.
Step-by-step explanation:
Write an equation for the line gragh
Answer:
see below
Step-by-step explanation:
y=mx+b: slope and intercept
ax+by/c: standard
(x-x1)*m=y-y1: point slope
Not very good at math guys I really need to pass my Highschool test pls help
Answer:
5 $3.00
Step-by-step explanation:
For every 5 apples, the cost is $3.00
Write two algebraic expressions that have -10m as one of the terms in their product.
Step-by-step explanation:
Given,
The product of Algebraic Expression is equal to the ________ of their H.C.F& L.C.M.
Solution,
Consider the the numbers are a, b.
a \times b = LCM\,of\,\left( {a,b} \right) \times HCF\,of\,\left( {a,b}Given,
Help ASAP will mark Brainly to who ever answers 1st
Answer:
Step-by-step explanation:
the bottom left is the answer. I hope this helps.
Find the values of x and y.
Answer:
y= 132, x= 32.6
Step-by-step explanation:
Let me know if this is right!
Hope it helps
Find 3 ratios that are equivalent to the given ratio 3 over 6
Can someone please help? I'll give brainliest if correct
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 )
Which postulate /theorem can you use to prove the two triangles shown are congruent?
complete the pattern 1,2,4,8___and __and __
Answer:
16, 32, and 64
Step-by-step explanation:
The number is being doubled every time.
Given 2x² = -8, x is
A) -2
B) 2
C) 2i or -2i
B) 4i or -4i
NO LINKS!!!
Answer:
2x^2=-8
2x^2/2=-8/2
x^2=-4
x=2
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY.
Determine whether the rate of change is constant. Choose the correct answer below.
Answer:
yes, the rate of change is constant and it equals -300ft/1min
it represents the number of feet the airplane descends per minute
find the values for k
5k^2 - 4k > 0
Answer:
[tex]5k^2-4k>0[/tex]
[tex]k(5k-4)>0[/tex]
In the image attached, you want the values above 0. Thus, the values of k would be in the red area, which is
[tex]k<0[/tex] or [tex]k>\frac{4}{5}[/tex]
Billy Bob just bought a new car his car costs $75,000. how much money will he pay in taxes for the car if the sales tax is 6%?
Answer:
4500
Step-by-step explanation:
What is the Answer for
y=2+frac{1+x}{1-2x}
Answer:
[tex]x=\frac{y-3}{2y-3}[/tex]
Step-by-step explanation:
[tex]y=2+\frac{1+x}{1-2x}[/tex]
First, subtract 2 from both sides:
[tex]y-2=\frac{1+x}{1-2x}[/tex]
Multiply both sides by (1 - 2x):
[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]
Subtract 1, subtract x, and add 2xy to both sides:
[tex]y-3+3x=2xy[/tex]
Subtract 3x from both sides:
[tex]y-3=2xy-3x[/tex]
Factor out the x:
[tex]y-3=x(2y-3)[/tex]
Finally, divide both sides by (2y-3):
[tex]x=\frac{y-3}{2y-3}[/tex]
Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.
Please help me with this MATH question.
Answer:
g= -2
Step-by-step explanation:
Answer:
- 2
Step-by-step explanation:
1. open the parentheses: 3(5-g)= 15-3g= 21
2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)
15- 3g= 21 = -3g= 21- 15
-3g= 6
3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.
Hence, g= -2
Hope this helps!
let me know if t does and if the answer is right.
20 points! :D
Not sure how to do this. :/
Answer:
t = (A - P) / Pr
Step-by-step explanation:
A = P + Prt
A - P = Prt
(A - P) / Pr = t
t = (A - P) / Pr
what is the slope of (-1,6) and (2,3)?
Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:
[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]
Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:
[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]
[tex] \implies \mathsf{ - 1 }[/tex]
Hence, the slope of the line joining the given points is -1.
Answer:
-1
Step-by-step explanation:
peter cuts a piece of string into three lengths one is 4.26cm long one is 7.54cm long and the third is 3.90cm long how long was the string before it was cut
Answer:
15.70cm
Step-by-step explanation:
add to get total
4.26+7.54+3.90
Answer is 15.70cm
Answer:
15.7 cm
Step-by-step explanation:
The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.