The rotation that the triangle DEF underwent is defined as follows:
180º around the origin.
RotationA rotation is one example of transformation that a function can undergo, along with transformation, compression, stretching, dilation or reflection.
A rotation changes the inclination of the figure, and the rules for each rotation are given as follows:
90° clockwise rotation: (x,y) -> (y,-x)90° counterclockwise rotation: (x,y) -> (-y,x)180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y)270° clockwise rotation: (x,y) -> (-y,x)270° counterclockwise rotation: (x,y) -> (y,-x)In this problem, the coordinates are given as follows:
Original: (-3,5).Image: (3,-5).Hence the rule is:
(x,y) -> (-x, -y).
Meaning that a rotation of 180º around the origin was done.
More can be learned about rotation at https://brainly.com/question/26249005
#SPJ1
find the value of a square + b square when a+b = 6 a_b = 4
Answer:
a+b=6
a-b =4
______subtract
(a-a)+(b-(-b))=6-4
0+2b = 2
b= 1
put the value of b at any equation
a+1 =6
then a=6-1=5
a square+b square= 25+1= 26
NEED HELP FOR REAL 69 points!!!!!!!!!!!!!! ASAP
The physicist from the last problem lets the particle fall another 100 times, and finds that the average travel time is now 16 sec. Remember that when running the simulation many times it took 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. What does she conclude and why?
Round 6,823 to the nearest thousand
Answer:
7,000
Step-by-step explanation:
17 - (-25) =
I need help
Answer:
42
Step-by-step explanation:
rewrite by changing subtraction sign to addition and the following number to opposite
- always involves two sign changes
have a good day
Use polar coordinates to find the volume of the given solid.
Below the plane
2x + y + z = 4
and above the disk
x2 + y2 ≤ 1
Using polar/cylindrical coordinates, we take
x = r cos(t )
y = r sin(t )
z = z
so that
dV = dx dy dz = r dr dt dz
The solid is given by the set
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in cylindrical coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
Then the volume of the solid is
[tex]\displaystyle \iiint_D \mathrm dV = \iiint_Dr\,\mathrm dr\,\mathrm dt\,\mathrm dz \\\\ = \int_0^{2\pi} \int_0^1 \int_0^{4-2r\cos(t)-r\sin(t)} r\,\mathrm dz\,\mathrm dr\,\mathrm d t \\\\ = \int_0^{2\pi}\int_0^1 (4r-2r^2\cos(t)-r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(2 - \frac23 \cos(t) - \frac13 \sin(t)\right) \,\mathrm dt \\\\ = \boxed{4\pi}[/tex]
The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
What is the volume of the solid in polar coordinates?The volume of the solid in polar coordinates can be calculated by the double integral in polar coordinates.
[tex]V = \iint_R f(x,y) \,dA.\\[/tex]
Similarly, by polar coordinates,
x = r cost
y = r sint
z = z
we get, dV = dx dy dz = r dr dt dz
The solid is given
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in polar coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
The volume of the solid is
[tex]\rm \int \int\int\ dV = \int \int\int\ rdr dt dz\\ \rm = \int\limits^{2\pi}_0\int\limits^1_0 \int\limits^{4-2rcost-rsint}_0 rdr dt dz\\\rm =\int\limits^{2\pi}_0\int\limits^1_0 {4r-2r^{2} cost-r^{2} sint} dr dt\\\rm =\int\limits^{2\pi}_0( 2-2/3cost-1/3sint) dt\\\rm =4\pi[/tex]
Hence, The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
Learn more about the volume of the solid;
https://brainly.com/question/12649605
Alyssa purchased 3 pounds of peanuts for $8.25. Write an equation that shows the relationship between the cost and the number of pounds purchased
Answer:$8.25 ÷ 3= x or 3·x =8.25
Step-by-step explanation:
3*x=8.25
If f(1) = 160 and
f(n)=1/2f(n-1) what is f(5)?
Answer:
10
Step-by-step explanation:
[tex]f(n) = \frac{160}{ {2}^{(n - 1)} } [/tex]
Answer:
This is 10
f(5) = 5f
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.12 for each minute of calls. Plan B costs $15 plus an additional $0.10 for
each minute of calls.
For what amount of calling do the two plans cost the
Same?
Answer:
250 minutes
Step-by-step explanation:
10 + 0.12x = 15 + 0.10x
0.02x + 10 = 15
0.02x = 5
x = 250
Your welcome!
Kayden Kohl
8th Grade Student
Click this if you are a savage
Answer:
i am
Step-by-step explanation:
pro!
uhfy1gujhqfvwtfu
Mr. Cruz bought 9 3/5 kg of meat. He used 2 3/5 kg for adobo, 4 3/5 kg for menudo and the rest for afritada. How many kilograms of meat did he use for afritada?
Answer:
Loading,please wait...
Step-by-step explanation:
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
A) 78
B) 32
C) 14
(Explain your work)
We have that the fourth term of an arithmetic sequence is
a_4=14
Option C
From the question we are told
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
A) 78
B) 32
C) 14
(Explain your work)
Generally the equation for the arithmetic sequence is mathematically given as
[tex]a_4=a_1+(n-1)d[/tex]
Therefore
For seventh term
[tex]5=23+(6)d\\\\d=5-23/(6)\\\\d=-3[/tex]
Therefore
For Fourth term
[tex]a_4=23+(3*(-3))[/tex]
a_4=14
For more information on this visit
https://brainly.com/question/23366835
Person 2 worked for 200 minutes and checked 1,325 comments every 5 minutes
Answer: 33.125
Step-by-step explanation:
So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.
Which of the following expressions is equivalent to 24/8 ·6/3 · 3?
-7 · 6/3 · 3
-28/4 · 3
-28/24/9
-7 ·6/9
Answer:
I think second one is the ans
Write a three digit number that gives same answer when rounded to the nearest ten and to the nearest hundred .explain
Answer:
Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on. All the numbers to the right of the place you are rounding to become zeros. Rounded numbers are easier to remember and easier to use.
HELP!! ASAP
A graphic designer makes a sketch for an image that will appear on a poster. The width of the sketch is 14 in. She figures that it should be enlarged to 220% to make the final image. How wide will the final image be?
Answer:
220
Step-by-step explanation:
No links just answer
Simplify
Answer:
first option _32\21 is the answer
Step-by-step explanation:
the answer will
-32/21
I'm indian just came in Canada
indians are very intelligent in maths
look at the pictuse below i would copy and paste but I can't copy a picture
Answer:
I can't really see it so i don't know I'm sorry
Answer:
15
Step-by-step explanation:
how do i write the word form and the expanded form for 3.4 and 2.51
Answer:
(3×1)+(4/10) & two and fifty-one hundredths
Step-by-step explanation:
In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.
1. 3.4
[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]
2.2.51
two and fifty-one hundredths
Hope this helps.
what is 5.6 less than 25.3
Answer:
19.7
Step-by-step explanation:
AAA help I need to do this for schoosleldkdk
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
The total amount of cards is 8, and the stack have 4 even numbers, so the probability is
4/8 Simplify it and
1/2
Now, there are just 6 cars bigger than 6, so:
2/8. Simplify it
1/4
Now you have to multiply the two values:
1/2×1/4 = 1/8
9% out of 432 kids want to be lawyers. How many kids did not want to be lawyers?
Answer:
393.12 kids. This is technically impossible, as you can't have 0.12 of a kid, so I will round down to 393 kids.
Step-by-step explanation:
9% = 0.09
x = amount of kids who want to be lawyers
y = amount of kids who do not want to be lawyers
x = 0.09(432)
x = 38.88
y = 432 - 38.88
y = 393.12
what does n equal in 4n − 2n = 4
Answer:
Step-by-step explanation:
4 = 2
A 4-quart jug of juice costs $4.48. What is the price per cup?
Answer:
28 cents.
Step-by-step explanation:
There are 4 cups in 1 quart. So, 4 quarts is 16 cups.
If 4 quarts costs $4.48, to find the price per cup, you need to divide $4.48 by 16.
4.48 ÷ 16 = 0.28
This means each cup is 28 cents.
I hope this helps! :)
Step-by-step explanation:
you devide 4.48by 16 and your answer is 0.28
6. a + 6 < -2; a = -8
I
0. yes
P. no
Answer:
yes
Step-by-step explanation:
can someone plz help me with this
Answer:
option D .....11
Option c 36
2x - 7= -11
What’s the answer?!?!?
Answer:
×=9
Step-by-step explanation:
2× - 7=11
2× - 7+7=11+7
3 Select the correct answer from each drop-down menu. The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground island its width is w. The length of each side of the flower beds is a Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds. Assume that the playground and beds do not overlap The total fending material required to fence the playground and both flower beds is
Answer:
Get the perimeter of the each shape and add it all up to get the total fencing material required. 2 square flower beds = 2 x 4a = 8a 1 rectangular play ground = 2l + 2w total fencing material = 8a + 2l + 2w
Answer:
2l + 2w + 8a
Step-by-step explanation:
How does the test variable of an object affect the amount of mechanical energy it contains?
Answer:
rg53º
Step-by-step explanation:
grnrgnrn
If 5 pieces of steel bar each 6 1/2" long are welded together, how long will the new
bar be?
PLEASEEE!! HEPPPP!!
It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?
A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5
No of hours
[tex]\\ \sf\longmapsto 4(1)[/tex]
[tex]\\ \sf\longmapsto 4 hours[/tex]
None of the above