The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:
[tex]x = f(\theta), y = g(\theta) \to y = h(x)[/tex]
If we know that [tex]x = 2\cdot \cos \theta[/tex] and [tex]y = \cos 2\theta[/tex], then the rectangular equation is:
[tex]y = \cos 2\theta[/tex]
[tex]y = \cos^{2}\theta - \sin^{2}\theta[/tex]
[tex]y = 2\cdot \cos^{2}\theta -1[/tex]
[tex]\cos \theta = \frac{x}{2}[/tex]
[tex]y = 2\cdot \left(\frac{x}{2} \right)^{2}-1[/tex]
[tex]y = \frac{x^{2}}{2} -1[/tex]
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
We kindly invite to check this question on parametric equations: https://brainly.com/question/23070611
Find the area of this rectangle.
Write your answers in simplest form.
Answer:
7 1/7 square mm
Step-by-step explanation:
Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.
A.-8
B.12
C.-20
D.32
Answer:
C. -20
Step-by-step explanation:
Step 1: [tex]\frac{mn}{p}[/tex] + (-n) Write down equation
Step 2: [tex]\frac{2(12)}{-3}[/tex] + (-12) insert values into equation
Step 3: [tex]\frac{24}{-3}[/tex] - 12 Simplifying fraction and parentheses
Step 4: -8 - 12 Simplifying fraction 24/-3 = -8
Answer: -20
help i need a place to watch movies during schools
Answer:
try to use soap2day.to if its not blocked by your school
Answer:
wdym? Netflix?
like do you mean you need a setting to watch them?
- Library
random table or bench
or do you need a site to watch them?
- Netflix ( needs subscription )
- Disney + ( Needs Subscription )
Hope that helps?
A scuba diver is descending at an average rate of 39.8 feet per minute.
What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?
Enter your answer in the box.
ft
Plzzzz help I will give u brainly
Answer: 115.42 ft
Step-by-step explanation:
The graph shows the distribution of the amount of chicken (in ounces) that adults eat in one sitting.
A graph titled Chicken Consumption has amount (ounces) on the x-axis, going from 3.2 to 12.8 in increments of 1.2. The highest point of the curve is at 8.
Which statement describes the distribution?
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of –1.2 ounces.
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
The distribution is approximately Normal, with a mean of 1.2 ounces and a standard deviation of 8 ounces.
The distribution is uniform, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
Using concepts of the normal and of the uniform distribution, it is found that the correct option is:
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
In an uniform distribution, all outcomes are equally as likely, thus they have the same height.In the normal distribution, the outcomes with the highest likelihood are those closest to the mean, thus they have the highest height. This means that the mean of this distribution is 8.The standard deviation cannot be a negative value, so in this problem, it is 1.2, which means that the correct option is:The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
A similar problem is given at https://brainly.com/question/25128186
Slope of -3 passes through the point (2,1)
Answer:
Linked the work I did on a scientific calculator :)
( How to write it as an equation )
Step-by-step explanation:
write the ratio $12 dollars 3 tickets as a unit rate
Answer:
20 pesos lang
Step-by-step explanation:
kami 5 pesos per ticket kayo 12 dollar
A salesperson earns an income of $600 per week aus an dditional 5% commission on her total sales for that weck a. Write an equation that models the Salespersons total weekly income. b. What would be the salespersons income if her total sales were $10.000 that week? c. How much would a salesperson have to sell to have a $2000 weekly
one step equations. due in 30 minutes pls help quick!!
Mr. Rao's gas tank holds up to 17 gallons of gas. It took 12.65 gallons of gas to fill his tank. How many gallons of gas did Mr. Rao have in his tank before he filled it? Enter your answer as a decimal or as a mixed number in simplest form in the box.
only answer if you know it
Answer: Im 99.9% sure that its 4.48
Step-by-step explanation: 17 1/8 is 17.13 as a Decimal and that subtrcated by 12.65 is 4.48 :)
Using distributive property, factor out the GCF and rewrite 54 + 90
Answer:
144
Step-by-step explanation:
54+90=144
144-90=54
90+54=144
144-54=90
When converted to a household measurement, 9 kilograms is approximately equal to a
What is 317.466 ounces or 19.8 pounds
1kg in household measurement is equal to 35.274 ounces.
So, 35.274*9= 317.466 ounces
317.466/16= 19.8 pounds
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
solve pls brainliest
Answer:
53cm
Step-by-step explanation:
11+8+8+11+15=53cm
need help with this algebra ii question
Answer:
-23
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + c
f(4) = -7
Step 2: Solve for c
Substitute in variables [Function f(x)]: -7 = 4² + cEvaluate exponents: -7 = 16 + c[Subtraction Property of Equality] Subtract 16 on both sides: -23 = cWhen a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?
Answer:
20 minutes
Step-by-step explanation:
If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.
I found this by dividing 40 (boxes) by 2 (min per box)
class 6 MATHS! is this correct???
Answer:
yes Bro it is correct ar u writing an exam
The table shows the ramp height and platform length for different skateboard ramps.
Ramp Height (in.) 4 8 12 16 20
Platform Length (in.) 12 24 36 48 60
What would be the platform length for a ramp height of 10 inches?
A. 26 inches
B. 28 inches
C. 30 inches
D. 34 inches
pleaseeeeee help me with this.
Answer:
Step-by-step explanation:
2 is like terms
1 one is coeff
3 is const
4 is expression
5 is trem
6 is variable
Find the value of x. 1/2 - 15 = 2/5x - 7
Answer:
(Hope this helps can I pls have brainlist (crown)
Step-by-step explanation:
In pic
(Credit: Symbolab )
x = 80
Need help, look at picture
[tex]\sqrt{108k^{7}q^{8}}[/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
6k^3*q^4√3k
write an equation of the line passing through the point( 3, -1) and parallel to the line y=2/3 x-5
Answer:
[tex]y = \frac{2}{3} x - 2[/tex]
Step-by-step explanation:
find The y-intercept
[tex] - 1 = \frac{2}{3} (3) + b \\ - 1 = 1 + b \\ b = - 2 \: \: \: \: y - intercept[/tex]
The equation of the line
[tex]y = \frac{2}{3} x - 2[/tex]
Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm
kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make?
Answer:480.10
Step-by-step explanation:
Answer:
$471.9
Step-by-step explanation:
Take "30 hours and 15 minutes" into a number you can multiply. 15 minutes is a quarter of an hour, so our number is 30.25
Do 30.25 x 15.60 to get 471.9
Add a dollar sign, and there's your answer of $471.9!
Hope this helped.
Fred borrows $2710 at 3.8% simple interest per month. When Fred pays the loan back 3 months later, what is the total amount that Fred ends up repaying?
Answer:
3,018.94
Step-by-step explanation:
Tyson can type 49 words per minute. How long will it take him to type a 1000-word essay?
Answer:
20.4minutes
Step-by-step explanation:
Duration= Number of words/Typing speed
Duration= 1000/ 49 per min
= 20.4minutes
Hope this helped you- have a good day bro cya)
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
-2,-6,-18,-54....n equals 11
What is the Geometric series!
Formula:Sn=a1(1-r^n) over(1-r)
PLEASE ANSWER I WILL GIVE U BRANLIEST ANSWER if correct¡!!¡
9514 1404 393
Answer:
-177146
Step-by-step explanation:
The given formula is useful. The first term is a1 = -2. The common ratio is r = -6/-2 = 3. For n = 11 terms, the sum is ...
S11 = -2(1 -3^11)/(1 -3) = -2(-177146/-2) = -177146
The sum of 11 terms of the series is -177146.
Compute Δy using the function y= 5x^3 as x goes from -2 to 1.
Δy =?
The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45
The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.
Δy = y2 - y1where:
y1 = 5(-2)³y1 = -40and
y2 = 5(1)³y2 = 5Therefore,
Δy = y2 - y1Δy = 5 - (-40)Δy = 45.
Read more:
https://brainly.com/question/12559989
Given the vectors ⃗⃗ = 〈2, 3, 5〉, ⃗ = 〈−2, 5, 0〉, ⃗⃗ = 〈−3, 2, 7〉 calculate:
a) ⃗⃗ + ⃗ + ⃗⃗
Answer:
a
Step-by-step explanation:
Show how to use a power of 10 to write 42.66 / 2.97 as an equivalent expression with a whole number divisor
PLEASE HELP DUE TONIGHT!!
WILL MARK BRAINLIEST!!
Expressing the given equation as a power of 10 with the divisor expressed as an whole number can be written as [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Given the expression :
42.66/2.97Expressing the numbers as a power of 10 :
Dividend = 42.66 Divisor = 2.97To convert the divisor to a whole number :
Multiply both by 100
Dividend = 42.66 × 100Divisor = 2.97 × 100 = 297Expressing dividend as a power of 10 :
Dividend = 42.66 × 100 = 42.66 × 10²Hence, the equivalent equation would be : [tex] \frac{42.66 \times 10^{2}}{297}[/tex]
Learn more : https://brainly.com/question/18796573
