Recall that
cos²(t) + sin²(t) = 1
Then solving for cos(t) and sin(t), we have
x = 3 cos(t) ===> cos(t) = x/3
y = -6 sin(t) ===> sin(t) = -y/6
so that the above identity gives us
(x/3)² + (-y/6)² = 1
x²/9 + y²/36 = 1
36 (x²/9 + y²/36) = 36
(C) 4x² + y² = 36
The parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
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 = 3cos(t) and
y = -6sin(t).
As we know, the trigonometric identity:
sin²θ + cos²θ = 1
For checking the option (A):
2x² + y² = 36
= 2(3cos(t))² + (-6sin(t))²
= 18cos²t + 36sin²t ≠ 36
Similarly, for checking the option:
4x² + y² = 36
= 4(3cost)² + (-6sint)²
= 36cos²t + 36sin²t
= 36(cos²t + sin²t)
= 36(1) = 36
Thus, the parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
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Phyllis has 6 yards of material. She
needs 8 yards to make curtains. This
situation is modeled by the equation
6 + x = 8, where x is the amount of
material she needs to buy. How much
Answer:
Your answer would be: x = 2 or 2 yards.
Step-by-step explanation:
Subtract 6 from both sides.
6 will cancel out itself, leaving you with 8-6, which is 2.
So therefore, the answe would be x = 2 or 2 yards
Word problems #2
#1
Rob is 16 years older than Corey. The sum of their ages is 46. How old is
each?
Answer:
Rob is 31 and Corey is 15
Step-by-step explanation:
x + x + 16 = 46
2x + 16 = 46
2x = 30
x = 15
46-15=31
Can someone please help me with 42?
Answer:
a, x < y or z < y
b, y > z or y > x
c, x = z
Step-by-step explanation:
l l (forget the name but you get it) was absolute positive at all time. Just thinking all the negative number in the box was positive.
Answer:
Mark me brainliest please I need itHELP ITS DUE TODAY I ONLY HAVE 10 min !
Find the volume of the cylinder. Use 3.14 for 1. Round your answer to the nearest cubic millimeter.
5 mm
4 mm
PLEASE ANSWER ASAP WILL GIVE BRAINLIST AND 29 POINTS!!!! Q: The group of points {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function, but the group of points {(1, 4), (2, 7), (3, 1), (5, 7)} is a function. What do you notice about the two groups of points? What do you think it means to be a function?
Answer:
The first group of points is not a function due to repetition of elements in domain while second group of points is a function because no element of domain is repeated in any ordered pair.
Step-by-step explanation:
Why {(0, 1), (0, 5), (2, 6), (3, 3)} is not a function?
A relation is said to be a function if there is no repetition in the first elements of each ordered pair. In this group of points, 0 is repeated in two ordered pairs (0, 1), (0, 5) so it is not a function.
Why {(1, 4), (2, 7), (3, 1), (5, 7)} is a function?
The given group of points is a function because there is no repetition in first elements of each ordered pair i.e. there is not repetition in domain so it is a function
BRAINLIEST?
Answer:
The first group of points is not a function due to repetition of elements in domain while second group of points is a function because no element of domain is repeated in any ordered pair.
Step-by-step explanation:
(0, 1), (0, 5), (2, 6), (3, 3)} is not a function.
A relation is said to be a function if there is no repetition in the first elements of each ordered pair. In this group of points, 0 is repeated in two ordered pairs (0, 1), (0, 5) so it is not a function.
{(1, 4), (2, 7), (3, 1), (5, 7)} is a function.
The given group of points is a function because there is no repetition in first elements of each ordered pair i.e. there is not repetition in domain so it is a function
1)Cece spent 2 2/5 hours doing his math modules 1 1/5 hours doing his science. how munch more time did cece spend on doing his math module than on his science module?
A. 1 1/5
B. 3 3/5
C.3 3/10
D. 1 1/0
Answer:
C
Step-by-step explanation:
Cece spent 2 2/5 hours doing his math modules 1 1/5 hours doing his science. how munch more time did cece spend on doing his math module than on his science module? After analyzing, the answer is C.
Answer:
A 1 1/5
Step-by-step explanation:
For math 2 2 / 5 hours = (10 + 2 ) / 5 = 12/5
for science 1 1 / 5 hours = (5 + 1) / 5 = 6 / 5
so, math - science time is
= 12 / 5 - 6 / 5
= 6 / 5
= 1 1 / 5
The average body burns
100 calories every 9
minutes of jumping rope.
How many calories will
Elizabeth burn if she
jumps rope for 27 minutes
a day?
Answer:
300 calories a day
Step-by-step explanation:
27÷9=3
3×100= 300
why do teachers make math so hard
Answer:
Step-by-step explanation:
Math on it's own is not hard. It's the way teachers teach it. It also could be your brain, some peoples brain (like my own) aren't made for math where there is only one answer but for creative interprutive answers like philosophy and art. Some minds are good for sports. Find what your mind is good for and you never go wrong.
Answer:
I have no idea.
Step-by-step explanation:
They make it much more complicated then it has to be
What is each section of the coordinate plane called?
Hello mercedescreech!
Each section of the coordinate plane is called as quadrants.
A cartesian oordinate plane has 4 quadrants. They are :
I quadrant → This quadrant lies to the right of the y-axis & above the x-axis. Both the coordinates of the points marked here will have positive values (+x, +y).II quadrant → This quadrant lies to the left of the y-axis & above the x-axis. The abscissa will have negative value while the ordinate will have positive value (-x, +y).III quadrant → This quadrant lies to the left of the y-axis & below the x-axis. Both the coordinates of the points marked here will have negative values (-x, -y).IV quadrant → This quadrant lies to the right of the y-axis & below the x-axis. The abscissa will have a positive value while the ordinate will have negative (+x, - y).Refer to the attachment for the cartesian graph.
____________
[tex]\mathfrak{Lucazz}[/tex]
rewrite the equation in standard form y - 3 = 4(x - 3)
Answer:
4x-y=9
Step-by-step explanation:
Find WZ. PLEASE ONLY REAL ANSWERS!
Step-by-step explanation:
look to the picture of my answer.
Answer for a cookie
A
B
C
D
?
Choose <,> or = to make a true statement 0.5 9/18
Answer:
=
Step-by-step explanation:
0.5 is half and 9/18 is half
Gustavo bought a dozen eggs for $2.38. Which proportion can
be used to determine the price, p, of each egg in dollars?
2.38/12 which would equal around 19 cents per egg
A self-serve car wash charges $5.22 to use its facilities, plus an additional $0.84 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 6 minutes, how much was she charged?
Answer:
$10.26
Step-by-step explanation:
f(x) = 0.84x + 5.22
f(6) = (0.84 x 6) + 5.22
f(6) = 10.26
Sierra plays a hockey video game. She earns 5 stars for every goal she scores and loses 1/2 star every time she misses the goal. She scores 4 goals and misses the goal 8 times. How many stars does she have?
Answer:
Sierra would have 16 points
Step-by-step explanation:
5×4=20
8×[tex]\frac{1}{2}[/tex]=4
20-4=16
Let a: b: c = 7: 13:20 and a + b + c = 520 Find the values of a, b,c
Answer:
520
Step-by-step explanation:
Let the Ratio a:b:c be 7x:13x:20x Respectively.
So, Sum of Ratios is 520...
A+B+C = 520
7x+13x+20x=520
40x=520
x= 520/40
x= 13
Now, Put the value of x
A= 7x= 7×13= 91
B= 13x = 13×13= 169
C= 20x = 20×13= 260
Now Add the numbers if we get 520 it means all the three numbers are correct....
91+169+260= 520
Troy is 50% taller than John. If John is 160cm, how tall is troy?
Answer:
240cm
Step-by-step explanation:
50% of 160 is 80.
80cm+160cm= 240cm
Simplify to a single power of 4: 4^3x4^6
Answer:
Step-by-step explanation:
4^3 x 4^6
Laws of indices: a^b x a^c = a ^ (b+c)
= 4 ^ (3+6)
= 4^9
£12000 in savings
1.5% compound interest per year for two years
What is the value?
12,362.7
所有冰雹约翰西娜和中共。冰心寒。
PLZ HELO NEED THE ANSWER ASAP
On the blueprint of a house, 39 millimeters represents 6 meters. The actual length of the living room is 4 meters. what is its length on the blueprint.?
=======================================================
Work Shown:
(39 mm)/(6 m) = (x mm)/(4 m)
39/6 = x/4
39*4 = 6*x
156 = 6x
6x = 156
x = 156/6
x = 26
The actual length of 4 meters corresponds to 26 mm on the blueprint.
Side note: I used the cross multiplication rule on the third line.
he principal placed an order for pencils. 96 pencils come in a box.
A. If 4 teachers share 3 boxes equally, how many pencils does each teacher receive? Show and explain your work.
Answer:
Step-by-step explanation:
If 96 pencils are in 1 box, and the principal ordered 3 boxes, you have 288 pencils.
288/4 = 72, so they each get 72 pencils.
The table shows the racing times, in minutes, for the first two laps in a race. Make a scatter plot for the data.
We have that for the Question "The table shows the racing times, in minutes, for the first two laps in a race. Make a scatter plot for the data." it can be said that
The scatter plot for the available data of the two laps is given in the attachment
From the question we are told
The table shows the racing times, in minutes, for the first two laps in a race. Make a scatter plot for the data
Generally
Lap 1----2.4 1.3 1.8 2.4 2.1
Lap 2----2.4 1.5 2.2 2.1 2.1
The scatter plot for the available data of the two laps is given in the attachment
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The equation c = 7.5m + 5 represents c, the total cost to purchase movie tickets online based on m, the number of tickets purchased. Identify the rate of change in total cost with respect to the number of tickets purchased. Type your answer... Algebraic Relationships
Answer:c=7.5m+5cm
Step-by-step explanation:let me know if this is not right
The first five terms of a sequence are shown.
3, 12, 48, 192, 768, ...
What is the common ratio of the function?
A.
9
B.
1
4
C.
1
9
D.
4
Answer:
b
Step-by-step explanation:
A number minus twice another number is 4. Three times the first number plus two times the second number is 12. Write a system of equations.
Step-by-step explanation:
x - 2y = 4 (1)
3x + 2y = 12 (2)
In a punch recipe, each cup contains
0.4
cups of orange juice,
0.35
cups of pineapple juice, and
0.25
cups of citrus soda.
If Jess wants to make
128
cups of punch, how much citrus soda is needed?
Answer:
A. 4 cups pineapple juice+8 cups orange juice+12 cups seltzer=24 cups total
108/24=4.5, so you need 4.5*(recipe)=
18 cups pineapple juice, 36 cups orange juice, and 54 cups seltzer
B. each recipe makes 18 servings, so 4.5*(recipe) =4.5*18= 81 servings
C. 8 cups orange juice/12 cups seltzer=2 cups orange juice/3 cups seltzer=2/3 cups orange juice/1 cup seltzer
Step-by-step explanation:
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If Jess wants to make 128 cups of punch then 32 cups of Citrus soda used.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
For 1 cup punch
0.4 cups of orange juice,
0.35 cups of pineapple juice, and
0.25 cups of citrus soda.
So, to make 128 cups the amount of each ingredient used
Orange juice: 128 x 0.4= 51.2
Pineapple juice: 128 x 0.35 = 44.8
Citrus soda: 128 x 0.25 = 32
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How long does it take for an investment to double in value if it is invested at 2% compounded monthly? Compounded continuously
Answer:
34.69 years for the first part.
Step-by-step explanation:
I got it right
What is the strongest relationship you can infer between two variables from this statement? The number of minutes you can talk on a cell phone decreases as the phone's battery charge decreases.
The strongest relationship that can be inferred between the two variables is: causation.
What is Causation?Causation can be defined as the influence of one variable over another. In other words, one variable directly causes a change in another variable. Causation establishes the relationship between the cause and effect.Thus, in the statement given, the two variables are number of minutes used on a cell phone and the phone's battery charge.
If the battery charge of the phone decreases, it has a direct effect on the number of minutes you can spend talking on the phone, therefore, the strongest relationship that can be inferred between the two variables is: causation.
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