Answer:
For x(θ) = 3cosθ + 2
y² = [9x²/(x - 2)²] - x²
For x(θ) = 3cosθ + 2
x² = [4y²/(y - 1)²] - y²
Step-by-step explanation:
Given the following equivalence:
x² + y² = r²
r = √(x² + y²)
x = rcosθ
cosθ = x/r
y = rsinθ
sinθ = y/r
Applying these to the given equations,
x(θ) = 3cosθ + 2
x = 3(x/r) + 2
xr = 3x + 2r
(x - 2)r = 3x
r = 3x/(x - 2)
Square both sides
r² = 9x²/(x - 2)²
(x - 2)²r² = 9x²
(x - 2)²(x² + y²) = 9x²
(x² + y²) = 9x²/(x - 2)²
y² = [9x²/(x - 2)²] - x²
y(θ) = 2sinθ - 1
y = 2y/r - 1
yr = 2y - r
(y - 1)r = 2y
r = 2y/(y - 1)
Square both sides
r² = 4y²/(y - 1)²
x² + y² = 4y²/(y - 1)²
x² = [4y²/(y - 1)²] - y²
Someone help please this subject is difficult for me.
Answer:
5. 2/3 ft 2. 21 ft
Step-by-step explanation:
5. 8/h=24/2
24h=16
h=16/24=2/3
h=2/3 ft
2. 6/8=x/28
8x=168
x=21
21 ft
Which transformations are rigid transformations? Check all that apply.
dilation
reflection
rotation
stretch
translation
Answer:
Reflection, rotation and translation
Step-by-step explanation:
By definition, a rigid transformation is a transformation that preserves length.
Dilation and stretch change the measure of the figure, and then, they are not rigid transformations.
On the other hand, reflection, rotation and translation don't change the measure of the figure, only change its position and orientation, so, they are rigid transformations.
Reflection, translation, dilation are rigid transformations.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformations is a transformation that preserves the shape and size of the figure. Types of rigid transformation are reflection, translation, dilation.
Find out more at: https://brainly.com/question/22274936
What's the answer????????
Answer:
960 cubic inches
Step-by-step explanation:
The formula for volume is V = l x w x h
Therefore, V=16x10x6=960 cubic inches
Tina has 13 cups of water to divide evenly among 7 plants. which of the following best approximates the number of cups of water that each plant will get ?
1/2, 1, 1 1/2, 2, 2 1/2
Answer:
Option d, 2 cups.
Step-by-step explanation:
Tina has the number of cups of water = 13
She has to divide evenly among the number of plants = 7
The number of cups of water that each plant will get
= [tex]\frac{13}{7}[/tex] cups
= [tex]1\frac{6}{7}[/tex] cups
= 1.857 ≈ 1.9 cups
among the given 4 option, best approximates the number of cups would be 2 cups.
Option d, 2 cups.
A color printer prints 16 pages in 6 minutes.
How many pages does it print per minute?
The right answer is 2.67
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
The color printer prints 2.67 pages in a minute.
(Rounded to the nearest tenth)
Step-by-step explanation:
6 minutes = 16 pages
1 minute = x
Cross multiple
6x = 16; then get X by itself
x = [tex]\frac{16}{6}[/tex]
x = 2.67 pages
How many 2-letter combinations can be created from the distinct letters in the word "mathematician"? Assume that the
order of the letters does not matter.
28
56
78
156
Answer:
Option A.
Step-by-step explanation:
The given word is "mathematician".
Here, total number of letter is 13 and
Number of distinct letters = 8
We need to select 2 distinct letters from word "mathematician".
It means we need to select 2 letters from 8 distinct letters.
Total ways [tex]=^8C_2[/tex]
[tex]=\dfrac{8!}{2!(8-2)!}[/tex]
[tex]=\dfrac{8\times 7\times 6!}{2\times 6!}[/tex]
[tex]=28[/tex]
Therefore, the correct option is A.
Answer:
A.
Step-by-step explanation:
hope this helps :)
find the value of x
Answer
X= 20 degree angle
Answer:
[tex]34.50 \: \: degrees[/tex]
Step-by-step explanation:
[tex] \tan(x) \: \: = \frac{o}{a} \\ \tan(x ) = \frac{11}{16} \\ \tan(x) = 0.6875 \\ x = 34.50 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
5. 8. 21. 17. 10, 11, 5
What is the median of the set of numbers?
D
A. 5
B. 10
C. 11
D. 17
Answer:
10
Step-by-step explanation:
You have to set up the number in order. They you have to work you way in from the ends.
What is the value of x in
4x-2=10
The answer is 3
4 times 3 is 12 minus 2 is 10
Which table of ordered pairs represents a proportional relationship ?
Step-by-step explanation:
the second one, they are in proportion to each other in respect to the interfere values
Answer:Second Table
Step-by-step explanation:
Joe run around the track is 1/4 of a mile.If we run halfway around the track, what fractional part of a mile have we run?
1/8 is half of 1/4
Step-by-step explanation:
1/8 + 1/8 = 1/4
£10 is divided between Alex, Peter &
Angad so that Alex gets twice as
much as Peter, and Peter gets three
times as much as Angad. How
much does Peter get?
Answer: Peter gets £3
Step-by-step explanation:
Let Angad get x: equation will be 2(3x) + 3x + x = 10
X = 1 = Angad
Peter get 3x = 3*1 = 3
Answer:
Peter gets $3
Step-by-step explanation:
Can anyone solve this?
Answer:
b
Step-by-step explanation:
i believe this makes the most sense
Really hope this helps!!
stay safe :0)
Answer:
B) Kathy starts each week with 108 phones to fix.
Step-by-step explanation:
P is the number of phones left for Kathy to fix
d is the number of days she worked.
This means every day Kathy works, she fixes 23 phone per day or 23 phones fixed a day. The total amount of phones is 108 which is what she has to fix every week.
The only option that makes sense is:
B) Kathy starts each week with 108 phones to fix.
After 2 females leave a party, there are twice as many males as females. Then 9 males leave and there are twice as many females as males. What is the total number of people left at the party after 9 males leave?
Answer: 9 people are left at the party
Step-by-step explanation:
There was originally 8 females and 12 males
8-2 = 6
Twice the males as females
9 men leave which leaves 3 men and 6 women which is twice as many men
Hope this helps!
State the domain and range of the graph of this relation.
Answer:
Domain is { x> -15}
Range is { y >5}
Step-by-step explanation:
The domain is the possible x values
x is greater than -15 (open circle)
Domain is { x ≥ -15}
The range is the possible y values
y is greater than 5 (open circle)
Range is { y >5}
1) The quotient of two numbers is 4, and their difference is 3. What are the two numbers?
Answer:4&1
Step-by-step explanation:
since we are dividing two numbers to get for and when we subtract we get three
The graph shows an image of a dilation about the origin with a scale factor of . What are the coordinates of the pre-image of , point A? (–8, –12) (–12, –8) (–2, –3) (–3, –2)
Answer:
A- (-8,-12)
Step-by-step explanation:
I got it right on the test
Answer:
The answer is A. (-8,-12)
Step-by-step explanation:
Because math is math and i got it right on the quiz :)
What is the solution of the system?
Y=10x-3
Y=7x+2
5/2, 41/3
-1/3, -1/3
3/5, 31/5
-5/3, -29/3
Answer:
a
Step-by-step explanation:
Ms.Nichols recorded the amount of time, in minutes, that she exercised during the first ten days of the month. 30,45,25,25,35,5,40,35,40,20. What is the mean of the data set?
Hi!
I'm Happy to help you today!
The answer to this question would be 30!
This is because to find the mean you have to add everything up, then divide it by how many number's there are so for this problem it is:
30 + 45 + 25 + 25 + 35 + 5 + 40 + 35 + 40 + 20 = 300
Then Divide!
300 ÷ 10 = 30
So 30 is your answer!
-LimitedLegxnd
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Solve by completing the square with working out
-6x-x^2-8
Answer:
1-(x+3)^2
Step-by-step explanation:
Between which two integers is between -140
Answer:
√50 is between 7 and 8 . Explanation: We can list out some of the squares and square roots that we know (I'll start from 5 ):. 5 √25 6 √36 7
Step-by-step explanation:
hurry i will give brainliest!!
Answer:
i think a
Step-by-step explanation:
i'm not sure
Answer:
its c
Step-by-step explanation:
slopes are negative reciprocals
Breanne cut 350 fresh flowers to make bouquets. If she wants to place an equal number of flowers in each bouquet, how many groups should she use?
A. 2 groups
B. 4 groups
C. 6 groups
D. 9 groups
Answer:
2 groups
Step-by-step explanation:
if you divide 350 by two you get 175 verses the others you get decimals
Which of the following linear equations passes through points (–1, 5) and (1, –5)?
Answer:
the answer is on the attached paper
Which equation represents the line that passes through the point (8,1) and (10,5)?
Pls help me with this question
Answer:
6 years and 15 years of age
Step-by-step explanation:
Given the ratio of their ages is 2 : 5 = 2x : 5x ( x is a multiplier )
Then in 9 years their ages are 2x + 9 and 5x + 9 in the ratio 5 : 8
By proportion
[tex]\frac{2x+9}{5x+9}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
5(5x + 9) = 8(2x + 9) ← distribute parenthesis on both sides
25x + 45 = 16x + 72 ( subtract 16x from both sides )
9x + 45 = 72 ( subtract 45 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Thus
Rohit's age = 2x = 2( 3) = 6
James' age = 5x = 5(3) = 15
6 : 15 = 2 : 5
Find the unknown number
1. 364 is 7% of what number
2. 4% of what number is 33
3. 96 is 24% of what number
4. 300 is 80% of what number
5. 15% of what number is 75
6. 32% of what number is 896
So,
the answers are:
52008254003755002800Look at the attached picture
Hope it will help you....
Good luck on your assignment
Answer:
[tex]1)5200 \\ 2)825 \\ 3)400 \\ 4)375 \\ 5)500 \\ 6)2800[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which function represents a vertical stretch of an exponential function?
y = 2x
y = 3 times 2 Superscript x
y = 23x
Answer:
[tex]y = 3 *2^{x}[/tex]
Step-by-step explanation:
It is a vertical stretch by a factor of 3 because a > 1.
Answer:
B= y = 3 times 2 Superscript x
Step-by-step explanation:
Is (1,3) a solution of the graphed inequality?
yes
Step-by-step explanation:
1,3 is within the shaded area
Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be represented by g(x)=175+0.05x. Caleb is paid $532 per week plus 2% of his total sales in dollars, xx, which can be represented by f(x)=532+0.02x. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer: x = $11,900
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Joshua’s earnings: g(x)=175+0.05x
Caleb's earnings: f(x)=532+0.02x.
So, if both earnings are equal:
g(x) =f (x)
175+0.05x =532+0.02x
Solving for x:
0.05x-0.02x = 532-175
0.03x= 357
x = 357 /0.03
x = $11,900
Feel free to ask for more if needed or if you did not understand something.