Given:
The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).
To find:
The vertices for [tex]R_{x-axis}(QRST)[/tex].
Solution:
The rule [tex]R_{x-axis}(QRST)[/tex] represents refection of polygon QRST across the x-axis.
If a figure is reflected across the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
Using this rule, we get
[tex]T(-2,3)\to T'(-2,-3)[/tex]
[tex]Q(1,5)\to Q'(1,-5)[/tex]
[tex]R(3,-1)\to R'(3,1)[/tex]
[tex]S(0,0)\to S'(0,0)[/tex]
Therefore, the vertices for [tex]R_{x-axis}(QRST)[/tex] are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).
Rx-axis means that the polygon QRST is reflected across the x-axis.
The ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
The points are given as:
[tex]\mathbf{Q = (1,5)}[/tex]
[tex]\mathbf{R = (3,-1)}[/tex]
[tex]\mathbf{S = (0,0)}[/tex]
[tex]\mathbf{T = (-2,3)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{Q' = (1,-5)}[/tex]
[tex]\mathbf{R' = (3,1)}[/tex]
[tex]\mathbf{S' = (0,0)}[/tex]
[tex]\mathbf{T' = (-2,-3)}[/tex]
Hence, the ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
Read more about reflections at:
https://brainly.com/question/938117
Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run? Use a piece of paper to draw a tape diagram and show your work.
Answer:
30 laps
Step-by-step explanation:
Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps
hELLPPLPLP PLEASEE answer 1-3 and please show the work on how to get it
Answer:
Step-by-step explanation:
Milk consumed in 4 weeks = 20 jugs
Milk consumed in 1 week = 20 ÷ 4 = 5 jugs
Milk consumed in 8 weeks = 5 * 8 = 40 jugs
2) Cost of 20 sets of crayons = $ 60
Cost of 1 set of crayon = 60 ÷ 20 = $ 3
Cost of 9 sets of crayons = 3 * 9 = $ 27
3) Number of tomatoes required to make soup for two guest = 4
Number of tomatoes required to make soup for one guest = 4 ÷ 2 = 2
Number of tomatoes required to make soup for 6 guests= 2*6= 12 tomatoes
A train traveled from one city to another city in 4 hours at a speed of 70 mph.
The retum trip was made in 5 hours. Find the speed for the return trip.
Answer:
56miles/hr
Step-by-step explanation:
Given parameters:
Time taken for the to travel = 4hrs
Speed of the train = 70mph
From this data, let us find the distance of the trip;
Distance =Speed x time
Therefore, insert the parameters;
Distance = 70mph x 4hr = 280miles
Now;
Return trip took, 5hrs,
Speed = ?
Speed = [tex]\frac{distance}{time}[/tex]
Insert the parameters and solve;
Speed = [tex]\frac{280}{5}[/tex] = 56miles/hr
The chart below contains the results of a survey in which students were asked about their cell phone plan.
Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing
Answer:
It is option C.
Step-by-step explanation:
I did the test.
Answer:
it c
Step-by-step explanation:
i did the unit test hope this helps :)
PLEASE PLEASD HELP!!!
A machine produces 480 gel pens per hour. Which equation represents the number of gel pens, p, produced in
m minutes?
Answer:
8m=p
Step-by-step explanation:
480/60=8
Simplify x^-5
please please I need it please please please please please please
Answer:
[tex]1/x^5[/tex]
Step-by-step explanation:
[tex]x^-^y = 1/x^y[/tex]
Answer:
1/x^5
Step-by-step explanation:
When you have a negative exponent, you have to put 1 over that power without the negative sign in the exponent. You put 1 over x^5
Answer: 1/x^5
what is the rate and unit rate of 13 inches of snow in 7 hours
Answer:
1 6/7 inches of snow in 1 hour
Step-by-step explanation:
13 divided by 7 is 1 6/7
ill give brainliest please help
The speed of a boat in still water is 10 km/hr. If it can travel 78 km downstream and 42 km upstream in the same time, the speed of the stream is?
Answer:
umm let me look at this one more time then I will answer:)
what is the radius of the cylinder
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
Heeeeellpppp
x^5 + 6x + 11x + 6 = 0
Answer:
The answer for x is
x=0.35262048
Cho flipped a coin 20 times. The coin landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?
Answer:
The answer is
A ) 12 to 20
Step-by-step explanation:
Cho flipped heads 12 times. She flipped the coin a total of 20 times, making the ratio 12 to 20.
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a fantastic day! :)
Solve for n: n+516=−1n+516=−1
Answer:
n=-517
n+516=-1
subtract 516
Help I Dont Understand?
is 0.75 repeating irrational or rational
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
identiy why trade improved during the middleages.
this is the question.
Answer:
intermarriage
Step-by-step explanation:
people from different part intermarried
Answer:
dont know
Step-by-step explanation:
A farmer with 5000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. Using the function A(x) , analytically find the WIDTH of the field that would maximize its area. (Round your answer to the nearest whole number)
Answer:
The required width of the field that would maximize the area is = 1250 feet
Step-by-step explanation:
Given that:
The total fencing length = 5000 ft
Let consider w to be the width and L to be the length.
Then; the perimeter of the rectangular field by assuming a parallel direction is:
P = 3L + 2w
⇒ 3L + 2w = 5000
3L = 5000 - 2w
[tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex]
Recall that:
The area of the rectangle = L×w
[tex]A(w) = ( \dfrac{5000}{3}-\dfrac{2}{3} ) w[/tex]
[tex]A(w) = \dfrac{5000}{3}w-\dfrac{2}{3} w^2[/tex]
Taking the differentiation of both sides with respect to t; we have:
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{2}{3} ( 2 w)[/tex]
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{4w}{3}[/tex]
Then; we set A'(w) to be equal to zero;
So; [tex]\dfrac{5000}{3} - \dfrac{4w}{3}=0[/tex]
5000 = 4w
w = 5000/4
w = 1250
Thus; the required width of the field that would maximize the area is = 1250 feet
Also, the length [tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex] can now be :
[tex]L = \dfrac{5000}{3} - \dfrac{2(1250)}{3}[/tex]
L = (5000 -2500)/3
L = 2500/3 feet
Suppose, the farmer divides the plot parallel to the width; Then 2500/3 feet = 833.33 feet and the length L = 1250 feet.
Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution
Answer:
one solution
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
29 + 15x = -x - 3. Simplified
what is 2+2 my brain has been in circles about this
Answer:
hey welcome to Brainly, and 2 + 2 = 4
Step-by-step explanation:
2+2=4
3+3=6
4+4=8
5+5=10
and so on just keep adding 2
HELP!!! Parallel Line Proofs
find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Answer:
Thus, the original price of the pair of shoes was $100.
Step-by-step explanation:
Percentages
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
help me plz !!!!!!!!!!!!
Answer:
5/7
Step-by-step explanation:
hope this helps!!
Answer:
the answer is 5/7 thats the lowest it can go
Step-by-step explanation:
The employee e-mail accounts in one company are using a mean of 1.071.071, point, 07 gigabytes of memory with a standard deviation of 0.210.210, point, 21 gigabytes.
Answer:
Mean: 1096 megabytes
Standard deviation: 215 megabytes
Step-by-step explanation:
I got the answer on Khan Academy
a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
Determine the slope and the y-intercept of the table.
Answer:
Slope: 1.5
Y-Intercept: -1
Find the measure of angle b.
4)
36°
what do you guys think
8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew
Answer:
$17.80Step-by-step explanation:
This is a fairly simple question. All we need to do is find the difference between the two amounts.
$94.30 - $76.50 = $17.80
