Let, coordinate of point A' is (x,y).
Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.
So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.
Now, their center is given by :
[tex]C( \dfrac{x+3}{2}, \dfrac{y+2}{2})[/tex]
Also, product of slope will be -1 .( Since, they are parallel )
[tex]\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1[/tex]
x = 2y - 1
So, [tex]C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})[/tex]
Also, C satisfy given line :
[tex]2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}[/tex]
Also,
[tex]x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}[/tex]
Therefore, the symmetric points is[tex]A'(\dfrac{31}{5}, \dfrac{18}{5})[/tex] .
Plz help me well mark brainliest if correct!!
HElp MY BRO NEEDS HELP... again -/
Answer:
27 cubic units
Step-by-step explanation:
Answer:
[tex]The ~ volume: 27~cubic ~units[/tex] ✔︎
Step-by-step explanation:
[tex](3)(3)(3)[/tex]
[tex]Multiply[/tex]
[tex]so, your~ answer ~will ~be ~27[/tex]
༄✫༄✫༄✫༄✫༄✫༄
hope it helps...
have a great day!!
Pls help! Step by step:)
Answer:
tan30° = [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{12}[/tex]
Answer:
[tex]\dfrac{5}{12}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
From inspection of the given right triangle:
θ = 30°O = 5A = 12H = 13Substitute the values into the tan trigonometric ratio:
[tex]\implies \tan(30^{\circ})=\dfrac{5}{12}[/tex]
simplify 3*15-(3+5)/4-(3-2)
Answer:
13/10
Step-by-step explanation:
edg
I WILL GIVE BRAINLIEST!!!
Using x as the variable for the problem, solve for x.
PLEASE HELP!!!! Hosting a party for 28 people, you plan to serve pizza for dinner. Each pizza
has 8 slices. How many pizzas must you buy so each guest gets at least 2
slices?
A. x56
B. x 6
C. x27
D. X>7
Answer:
I'm not sure but I think it's 7
Step-by-step explanation:
28×2= 8x
8÷56=8x÷8
7=x
10 points LAST QUESTION :DDDDDD
The Scale factor of Dilation is 3. What will be the four pairs of coordinates for the enlarged image? The center of dilation is 0,0, point of origin.
Answer:
Step-by-step explanation:
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
Help I need done quick
Answer: 160
Step-by-step explanation:
I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.
Evaluate the expression
Answer:
39
Step-by-step explanation:
6a - b = 6 x 8 - 9 = 48 - 9 = 39
Answer: 39
Step-by-step explanation:
Given that a=8 and b=9
The expression is 6a-b
That is; we have to find 6 times a and then subtract b from it.
6a = 6*8=48
b=9
6a-b=48-9=39
Therefore the answer to the question is 39.
Simplify the following expression: 3(5 – 12) + 4 ÷ 2
A. -19
B. 19
C. -23
D. -8.5
I think it's either A or B
3(5 - 12) + 4 ÷ 2 = - 19
A must be the answer
Ten less than 3 times a number is the same as the number plus 4. What is the number?
Answer:
3x-10=x+4
Step-by-step explanation:
Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?
The resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
What are vectors?A vector is an object that has both a magnitude and a direction.
Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.
For the subtraction of vectors, we can write its magnitude as -
|r - s| = √(r² + s² - 2rscos{15})
Therefore, the resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
To solve more questions on vectors, visit the link below -
https://brainly.com/question/29740341
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What is the volume of one cylinder ??
Use compositions to determine if the functions below are inverses of
each other?*
f(x) = 5x & F-1(x) = x
Yes
No
Answer:
They are not inverse functions
Step-by-step explanation:
Given
[tex]f(x) = 5x[/tex]
[tex]f^{-1}(x) = x[/tex]
Required
Determine if both are inverse functions
First calculate the inverse of f(x)
[tex]f(x) = 5x[/tex]
Replace f(x) with y
[tex]y = 5x[/tex]
Swap x and y
[tex]x = 5y[/tex]
Make y the subject
[tex]y = \frac{1}{5}x[/tex]
Replace y with f-1(x)
[tex]f^{-1}(x) = \frac{1}{5}x[/tex]
By comparison:
[tex]f^{-1}(x) = x[/tex] and [tex]f^{-1}(x) = \frac{1}{5}x[/tex] are not the same:
Hence:
[tex]f(x) = 5x[/tex] and [tex]f^{-1}(x) = x[/tex] are not inverse functions
GUYS PLZ IM ON A TIME LIMIT IF U AWNSR FIRST I WILL GIVE 50 POINTS HURRY!!!!!
Nan’s art sculpture is a pyramid. She will cover all the faces with gems, except the base of the pyramid.
What is the surface area of the part of the pyramid that will be covered in gems?
A. 36 square meters
B. 54 square meters
C. 72 square meters
D. 81 square meters
Answer:
[tex]2 \times 3 \times 12 \\ 72 {m}^{2} [/tex]
Answer:
C. 72
Step-by-step explanation:
Triangular Area: 1/2 (b) (h)
12x3=36
36/2=18
18x4=72
I also did the test. Have a great day/night! <3
Find the surface area and volume for this following pyramid
Answer:
the aswer is A i did this
Step-by-step explanation
What is the lowest common denominator of the math problem
6/9-2/3=
Answer:
Answer to 6/9-2/3= 0; Lowest common denominator = 3;
Step-by-step explanation:
You can only reduce 6/9 to 2/3, you cant reduce the fraction any further.
Company A charges 125$ annual fee plus 7$ per hour car share fee. Company B charges 110$ plus 10$ per hour. What is the minimum number of hours that a car share needs to be used per year to make company a better deal?
Answer:
6
Step-by-step explanation:
Let the number of hours be [tex]x[/tex].
[tex]125+7x<110+10x \\ \\ 15+7x<10x \\ \\ 15<3x \\ \\ x>5[/tex]
So, the minimum is 6 hours.
A gym membership is $28 to join and $10 paid monthly.
Create a table to represent this scenario, then create an equation.
Enter your answers in the boxes.
Months Purchased Total Cost ($)
0 28
1
38
2
48
3
58
4
68
The equation to represent this scenario is y =
x +
.
Answer:
sorry needed points so sorry
Step-by-step explanation:
NEED HELP 20 POINTS !!
The designers of a standardized test are interested in knowing how long people take, on average, to complete the writing portion of the test. They decide to conduct an observation study at a testing facility. To avoid bias in their study, they create a list of the test takers scheduled to take the test this week. Then, they randomly select 50 test takers from the list to be part of the study.
In this situation, what does the list of test takers represent?
A. the frame
B. the population
C. a control group
D. a sample
Answer:
A. Frame
Step-by-step explanation:
This is because it does not contain the who population and it is the place where the participants of the experiment are selected. It is not the control group because this includes people who were not even in the experiment.
The list of test takers represent the frame.
A frame consist of everyone in the population that has a chance of being picked.
The population represents the individuals that the researchers is interested in conducting the research on. The population of a study has similar characters.
The sample is the person that's selected from the population and represents the population as a whole.
The control group refers to the people that didn't partake in the experimentation carried out.
Therefore, the 50 test takers from the list represents the frame.
In conclusion, the correct option is A "frame".
Read related question on:
https://brainly.com/question/4363162
Danielle is using 2 quarts of water in a recipe. How many cups of water is she using
?
Answer: 8 cups
Step-by-step explanation:
4 cups to 1 quart, so 2 x 4 = 8
Jamie is going to run a 3-mile race. Using the information in the table above, how many inches are in 3 miles?
A.
189,980
B.
190,070
C.
189,080
D.
190,080
Find the volume of this sphere.
Use 3 for T.
d=6in
V ~ [?]in3
V = Tr3
Answer:
V = 108 in³
Step-by-step explanation:
Given:
Volume of sphere = ⁴/3πr³
π = 3
d = 6 in.
r = ½(6) = 3 in.
Required:
Volume of sphere
Solution:
V = ⁴/3πr³
Plug in the values
V = ⁴/3 * 3 * 3³
V = ⁴/3 * 3 * 27
V = 4 * 27
V = 108 in³
i dont understand please help
Answer:
0.15%
hope this helps!!
13. On weekends, as part of his exercise routine, Carl goes for a run, partly
C on paved trails and partly across rough terrain. He runs at 10 km/h on
the trails, but his speed is reduced to 5 km/h on the rough terrain. One
day, he ran 12 km in 1.5 h. How far did he run on the rough terrain?
Answer:
5*a+10*b=12,
a+b=1.5
Step-by-step explanation:
At times 6 x 10 To the six power cubic feet of water go over Niagara Falls every minute there are 1440 minutes and one day at this rate how many cubic feet of water would go over Niagara Falls in one day
Answer:
6.718464×10^13 / 67184640000000
Step-by-step explanation:
6×10^6 = 46656000000 × 1440 = 67184640000000
Five student government officers want to go to the state convention. It will cost them $115 for registration, $365 for transportation and food, and $55 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?
Answer:
45 cars
Step-by-step explanation:
115+365+(55*5) = 755
755 - 485 =270
270/6 = 45
the probabiliity of getting exactly one tail is?
Answer:
50%
Step-by-step explanation:
assuming you are talking about one coin flip (because you didn't specify) you have a 50% chance to land on tails
A 1948 study in Biometrika investigated the effects of several different diets on the weight of chickens. In this study, chickens were randomly assigned to one of several different groups, and each group of chickens received a different type of feed. The data provided represent a subset of data from this study and show the weights (in grams) of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
Use software to conduct an analysis of variance (ANOVA) ????F‑test to test the claim that the mean weights of chickens receiving sunflower, meatmeal, soybean, and casein are equal. What are the ????F‑statistic and pp‑value for this test? Please round your ????F‑statistic to the nearest two decimal places and your pp‑value to the nearest five decimal places.
1. ????F‑statistic :
2. pp‑value :
Based on the pp‑value for this ANOVA ????F‑test, select the correct conclusion at the ????=0.05α=0.05 level.
a. Since the pp‑value is greater than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
b. Since the pp‑value is less than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
c. Since the pp‑value is less than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
d. Since the pp‑value is greater than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
weight feed
368 1
390 1
379 1
260 1
404 1
318 1
352 1
359 1
216 1
222 1
283 1
332 1
325 2
257 2
303 2
315 2
380 2
153 2
263 2
242 2
206 2
344 2
258 2
243 3
230 3
248 3
327 3
329 3
250 3
193 3
271 3
316 3
267 3
199 3
171 3
158 3
248 3
423 4
340 4
392 4
339 4
341 4
226 4
320 4
295 4
334 4
322 4
297 4
318 4
hope this helps!! ^.^ -
Answer: F: 5.90, P: 0.00175, p-value is less than 0.05, so there is significant evidence
Step-by-step explanation: