Which graph represents the parametric equations x = 1 – t2 and y = 2t, where 0 ≤ t ≤ 5?
ANSWER: A
Answers
After plotting the above equation on the coordinate plane, we can see the graph of the function.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have two parametric equations:
x = 1 – t² and
y = 2t
t = y/2 and
0 ≤ t² ≤ 5
1 ≤ 1 - t²≤ 4
1 ≤ x≤ 4
Plug the above value in x = 1 – t²
x = 1- (y/2)²
x = 1 - y²/4
4x = 4 - y²
y² = 4(1 - x)
Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.
Learn more about the parametric function here:
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Related Questions
This is urgent pls help
If I tell you y = $0.10x + $25 represents your monthly phone bill, where x is the number of texts you send, but you can’t spend more than $75 per month, what values of x are you allowed to put into the equation?
Answers
Gechina Galvez shopped at a department store during the end-of-summer sale All luggage was marked down 35 percent. She purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8000, and a tote bag that regularly sells for $39.99. What is the total sale price?
Answers
Answer:
The total sale price that Gechina paid was $5,274.71.
Step-by-step explanation:
Given that Gechina Galvez shopped at a department store during the end-of-summer sale in which all luggage was marked down 35 percent, and she purchased a suitcase that regularly sells for $74.95, a garment bag that regularly sells for $8,000, and a tote bag that regularly sells for $39.99, in order to know the total sale price, the following calculation has to be made:
100 - 35 = 65
(8,000 + 74.95 + 39.99) x 0.65 = X
8,114.94 x 0.65 = X
5,274.71 = X
Therefore, the total sale price that Gechina paid was $5,274.71.
put these fractions in ascending order 1/2 3/5 and 3/4
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The baker's recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?
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Answer:
not enough info. how much flour does he have to begin with? how much does he use per day?
Step-by-step explanation:
The price of an item yesterday was $140. Today, the price fell to $42. Find the percentage decrease.
Answers
Answer:
Step-by-step explanation:
140-42 = 98
amount of decrease = $98
$98/$140 = 0.7 = 70%
The price decreases by 70%
Calculate the mass of a sample of pure silver (density of 10.49 g/mL) that has a volume of 12.99 mL.
Answers
Answer:
please find attached pdf
Step-by-step explanation:
given < A ≅ < D, AB ≅ DE, and AC ≅ DF, prove that < C ≅ < F. show your work.
Answers
write the equation that matches the green line
Answers
Answer:
Cant see the picture
Step-by-step explanation:
Cant see the picture
I have this question on a homework and don't know how to do It
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Area of a triangle = 1/2 x length x height.
80 = 1/2 x (x+1) (2x-2)
Multiply both sides by 2:
160 = (x+1)(2x-2)
Expand the right side:
160 = 2x^2 -2
Add 2 to both sides:
162 = 2x^2
Divide both sides by 2:
81 = x^2
Take the square root of both sides:
x = 9
Now find the length of the s1des:
(x+1) = 9+1 = 10
2x-2 = 2(9) -2 = 18-2 =16
The shorter side is 10
Pleaaase help this is due today
Answers
Answer:
a = false
b= true
c= false
d= false
e= false
A photographer has enough liquid toner for sixty 4 in. by 8 in. prints. How many 11 in. by 14 in. prints will this amount cover?
(The toner covers the area of the print: Area=Length×Width)
The toner will cover ___ ( 13,11, 12, 48) prints of size 11 in. by 14 in.
Answers
Answer:
About 12 prints in 11×14
Step-by-step explanation:
The area of the 4×8 print is 32 in².
60 × 32= 1960
Divide by the area of an 11×14, 154 in²
1960/154 ≈ 12.47
There is enough for a little more than 12, but not enough for 13 prints.
What single decimal multiplier would you use to increase by 7% followed by a 9% increase?
Answers
Answer:
[tex]Digit = 1.1663[/tex]
Step-by-step explanation:
Given
Increase by 7% followed by a 9% increase
Required
Represent by a single decimal
Represent 7% increment by x and 9% increment by y.
Increment by 7% is:
[tex]x = 1 + 7\%[/tex]
Express as decimal
[tex]x = 1 + 0.07[/tex]
[tex]x = 1.07[/tex]
Increment by 9% is:
[tex]y = 1 + 9\%[/tex]
Express as decimal
[tex]y = 1 + 0.09[/tex]
[tex]y = 1.09[/tex]
The single digit is:
[tex]Digit = x * y[/tex]
[tex]Digit = 1.07*1.09[/tex]
[tex]Digit = 1.1663[/tex]
How many solutions does the
given system have?
x – y = -4
y = -x2 + x.
Answers
9514 1404 393
Answer:
none
Step-by-step explanation:
The equations describe curves that do not intersect. There are no real solutions.
_____
Additional comment
The system is consistent, not dependent, and of degree 2, so there will be two solutions. There are no real solutions, so the two solutions are complex: (-2i, 4-2i) and (2i, 4+2i).
To visit her grandmother, Melek takes a motorcycle 3.8, kilometers and a horse 3.32, point, 32 kilometers. In total, the journey takes 50.54 minutes
How many kilometers is Melek's journey in total?
Answers
Malik to visit her grandmother takes a motorcycle 3.8 kilometres at a horse 3.3 2.3 32 kilometres in total journey takes 50.5 4 minutes total kilometres which mlx journey is 7.725 kilometres
Answer:
The answer is 7.17 on khan
Step-by-step explanation:
Btw the first answer is wrong
What is 0.36¯¯¯¯ expressed as a fraction in simplest form
Answers
Answer:
I think this is probably late, but the answer is 4/11.
Step-by-step explanation:
0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.
When 0.3636363636363 is multiplied by 100, the decimal moves from in front of the number 36 and moves behind it. So the answer is now 36.36363636
You're suppose to subtract those two minus each other, the denominator
the fraction is technically 36/99, but simplified version is 4/11. So the answer is indeed 4/11.
Thanks for your time!
Step-by-step explanation:
Answer:
:0.36 repeating can be expressed as 36/99
Step-by-step explanation:
0.36 is equal to 36100, but you can simplify it further by dividing 36 and 100 by 4 to get 925
a typing question please help and make brainleist
Answers
540
Explanation:
There are 10 girls and 6 boys in a class. The teacher randomly draws one student's name and then draws another. What is the probability that the first name drawn will be a boy and the second will be a girl? (Please show work so I can understand)
60%
23.4%
16%
25%
Answers
Answer:
25%
Step-by-step explanation:
Answer:
D 25%
Step-by-step explanation:
Please help its urgent
Answers
Answer:
6:09
Step-by-step explanation:
Answer: 6:09
haha i was like 1:31 but like i saw everything wrong lollll ;)
Given the vectors in component form:
r = ⟨8, 4⟩
s = ⟨–3, –4⟩
t = ⟨–5, 1⟩
Perform the operations.
5r – 3s + 8t
What is the magnitude and direction angle of the resultant vector?
A. 10.8, θ = 56.3°
B. 18.4, θ = 119.4°
C. 41.0, θ = 77.3°
D. 97.6, θ = 24.2°
Answers
Answer:
C
Step-by-step explanation:
someone help me please
39 - 24 + 6m
Which of the following describes 6m in the expression above?
A. factor
B. product
C. coefficient
D. sum
Answers
Write each as a decimal. Round to the hundredths place.
13/50
Answers
Hoping his helps you and it’s right!
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
a. -7
b.-1
c.1
D.7
I NEED ANSWERS SOON
Answers
Answer:
[tex]\boxed{a = 3}[/tex]
Step-by-step explanation:
[tex] (using \: the \: points : (2, \: 7) = ( x_{1}, \: y_{1}\: \: ) \\ hence : (a, \: 2) = ( x_{2}, \: y_{2}\: \: ) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{2 - 7}{a - 2} \\ - 5 = \frac{2 - 7}{a - 2} \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = \frac{ - 15}{ - 5} \\ \boxed{a = 3}[/tex]
-2/3-(-3/4)
Simplify if needed
Answers
Answer:
1/12
Step-by-step explanation:
Start by simplifying the fraction's signs:
[tex]-\frac{2}{3} - (- \frac{3}{4} ) = -\frac{2}{3} +\frac{3}{4}[/tex]
Now write both fractions as equivalent fraction with a common denominator of 12:
[tex]-\frac{2}{3} +\frac{3}{4} =-\frac{8}{12} +\frac{9}{12}=\frac{1}{12}[/tex]
If you need to add 5/6 to 5/12
again you need to write the fractions with a common denominator in this case also 12:
[tex]\frac{5}{6} +\frac{5}{12}= \frac{10}{12} +\frac{5}{12}=\frac{15}{12} = \frac{5}{4}[/tex]
in this last step we simplified a common factor of "3" in numerator and denominator to reduce the fraction to 5/4
A cylinder has a radius of 3 cm and a height of 5 cm
Answers
Answer:
1. 15
2. 45
3. 7.5
Step-by-step explanation:
5 times 3 is 15 so 15 times 3 is 45 half of 5 is 2.5 so 2.5 times 3 is 7.5
Answer:
The Volume is 141.37
The Volume is 424.12 when tripled
The volume is 70.69 when its halved
Step-by-step explanation:
In order to find the volume of a cylinder the formula is V=πr2h now you know the formul you need to plug in the numbers V = pi 3 squared 5
Mick paid $3.84 in sales tax on an item that cost $64.00 before tax. At that rate, how much would he pay in
sales tax for an item that costs $53.00 before tax? Explain STEP-BY-STEP
Answers
Tax rate = tax amount / item cost
Tax rate = 3.84 / 64.00
Tax rate = 0.06 (6%)
Tax amount = item cost x tax rate
Tax amount = 53.00 x 0.06 = $3.18
Classify each number according to its value
5.2×10-4
Answers
Answer:
48
Step-by-step explanation:
first put 5.2 x 10 in parentheses . Which you do first then subtract 4 and you will get your answer.
Your supposed to do each half separately and the multiple them to together
what is the approximate volume of the tube? round to the nearest whole cubic centimeter
Answers
Answer:
1,005 cm³
≈1,005 cm³ to the nearest whole cubic centimeter.
The ratio of boys to girls in Mr. Lee's Geography class is 3 to 5. If there are a total of 32 students in the class, how many of them are girls?
Answers
HELP PLEASE!!!
See the image!
Answers
Answer:
Step-by-step explanation:
Remark
I don't think the net helps you that much. The yellow diagram shows where the dimensions are.
Givens
L = 5w = 5h = 12Formula
Surface Area = 2*L*w + 2*L*h + 2 * w * h
Solution
Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2Four more than the quotient of a number and 7 equals 6.
Answers
Answer:
n/7 + 4 = 6
Step-by-step explanation:
Quotient of a number and 7: n/7
Four more than Quotient of a number and 7: n/7 + 4
Four more than Quotient of a number and 7: n/7 + 4 = 6