The family of curves with polar equations r = 1 c cos() can be rewritten as x = c cos() and y = c sin(), using the conversion formulas r cos() = x and r sin() = y. This means that each curve in the family is a circle centered at the origin with radius c, rotated by an angle of 90 degrees.
As c changes, the radius of each circle changes, and therefore the size of each circle changes. If c is positive, the circle will be in the first and third quadrants of the Cartesian plane, and if c is negative, the circle will be in the second and fourth quadrants.
When c = 0, we get a circle of radius 0, which is just the single point at the origin. This makes sense, since cos(0) = 1 and all other values of cos() are between -1 and 1, so the equation r = 1 c cos() can only be satisfied when c = 0 if cos() = 0, which occurs only at = 0 and = pi.
In summary, as c changes, the family of curves with polar equations r = 1 c cos() changes in size and position, but remains circular in shape. When c = 0, the curve is just a single point at the origin.
Learn more about polar equations here:
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Helppppppppppppppppppp
Answer:
1.base
2.Quitiont
3.subtract
4.product
5 multiply the exopnent.
Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi
Answer:
Step-by-step explanation:
Range of cosine is -1 to 1
Range of height is 8 to 40
Find the solution of the system of equations.
6x+y=30
−2x−5y=18
Answer:
Step-by-step explanation:
6x + y = 30
-6x - 15y = 54
-14y = 84
y = -6
6x - 6 = 30
6x = 36
x = 6
(6, -6)
Write the equation of the line that passes through (4, -6) and (8, 10)
Answer:
Line equation: y=4x−22
Slope: 4
Intercept: -22
Step-by-step explanation:
I NEED HELP PLS ASAP
Question
Identify the transformation that was applied to this letter.
y
R
B
A. Reflection over the x-axis
B. Rotation about the origin
C. Reflection over the yaxis
D. Translation
Answer: Your answer would be A :)
Step-by-step explanation:
Answer:A
Step-by-step explanation:
I took the quiz apeex
uhh- well uh i need help and it would be lovely if ya’ll helped ty very much
Answer:
x + 3 = y
Step-by-step explanation:
Hope that helps!
Math has me dead. Looks simple but it really isnt that easy.
Answer:
I am pretty sure the answer is A. I really hope this helps
Step-by-step explanation:
I dont have time to explain it im sorry my next class starts in 3 mins
Answer:A
Step-by-step explanation:
Five friends share 6 snacks equally.
How many fruit snacks will each friend get?
Answer:
A
Step-by-step explanation:
‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5
Answer:
C
Step-by-step explanation:
according to the standard equation;
Y=mX+C
or, Y=4/5X +3
Which relation is a function?
{(3, 4), (3, 3), (1, 2), (1, 5)}
{(1, 4), (1, 3), (1, 2), (1, 1)}
{(1, 3), (2, 6), (3, 9), (4, 12)}
{(3, 4), (2, 4), (5, 1), (3, 5)}
Answer:
the 3rd one
Step-by-step explanation:
because it's in a pattern
Answer:
3rd.
Step-by-step explanation:
Please can someone help thanks :)
Answer:
x=124
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 11, 20, ...
Answer:
arithmetic, 9, 1.8181818181818
Step-by-step explanation:
it is arithmetic, because it is adding by 9 every time.
I don't know what they mean by simplist form, but thats what 20/11 equals.
Answer:
yes yes wainth inde Windows
Jason buys a Play Station 5 from Amazon for $500 and wants to sell it at a 50% markup. How much does Jason want to sell the PS5 for?
Find the inverse of each function. f (x) = 2x − 4
Marsha went shopping at Best Buy and spent $75.25. If the sales tax was 8.75%, how much was her total bill?
Answer:
The answer is 81.834375
Step-by-step explanation:
Hope this helps
Answer:
$81.83
Step-by-step explanation:
Amount spent: £75.25
Sales tax: 8.75%
1% of 75.25 = 0.7525
0.7525 x 8.75 = 6.584375
75.25 + 6.584375 = 81.834375
As this question involves money it needs to be rounded to 2 decimal places:
$81.83
Plzzzzz help need fast if cannn plzzz
Answer:
D) 2.1
Step-by-step explanation:
HOPE IT HELPS YOU
YOU CAN MARK ME AS BRAINIEST IF YOU WANT
Answer: 2.1 I think please don’t be mad if I’m wrong
Step-by-step explanation:
The length and breadth of a rectangular room are 5m and 3.2m. Find the cost carpeting the room at the rate of $500 per square metre
Elan took his cat and dog to the vet, his cat weighed 482 pounds, and his dog weighed 158 pounds, how much pounds did his dog weigh?
Mrs. Trotta drives a total of 378 miles over 6 days. She drives the same amount of miles each day. How many miles does Mrs. Trotta drive each day?
Answer:
63 miles per day
Step-by-step explanation:
The miles she drove: 378
Number of days: 6
Solve:
378/6= 63
Check your math:
63*6=378
Hope this helps!
PLS HELP QUICK !!!!!!!
what is the area of this figure?
Answer:
... what figure?
Step-by-step explanation:
you forgot to add a picture
Answer:
ummmm what...?........
a=10t+0 find the y intercept
Answer:
0
Step-by-step explanation:
The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!
Drop the answer- or i'll drop ur ip peanuts :) <3
Step-by-step explanation:
-18x -14 = - 68
=> -18x = -68 + 14
=> -18x = -54
=> 18x = 54. ['-' on both sides gets cancelled]
[tex] = > x = \frac{54}{18} [/tex]
=> x = 3 (Ans)
Can someone explain how to do this?
i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!
you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.
eliminate the parameter in the equations x=5cos(t) -7 and y=5sin(t)+9. how can the rectangular equation be described?
circle
ellipse
parabola
hyperbola
Answer:
the answer is A
Step-by-step explanation:
The parameters represent a circle with a radius of 5 units, centered at (-7,9) and the equation of the circle is (x + 7)² + (y - 9)² = 5².
Deducing the figure from the parameters:The given equations are:
x = 5cos(t) - 7, and
y = 5sin(t) + 9
if we rearrange the above equations we get:
(x + 7) = 5cos(t), and
(y - 9) = 5sin(t)
Taking square of both equation we get:
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Now, adding the equations we get:
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
This is an equation of a circle with a radius of 5 units and the center at (-7,9)
since, the equation of a circle with radius R units and centered at (a,b) is given by:
(x -a)² + (y - b)² = R²
Learn more about equation of a circle:
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Raon has a pitcher that holds three and seven-hundredths liters of orange juice.
If he divides the juice equally into ten glasses, how many liters of juice will be in each glass?
Choose all the correct answers
0.307
3 x 1 x 7 x 1/100
3 x 1/10 + 7 1/1000
3 x 100 + 7 x 1/ 1000
3.07
3 x 1/10 + 7 x 1/100
Answer:
A
Step-by-step explanation:
y=-1/2-16K+10 in vertex form
Step-by-step explanation:
Let's solve for k.
y=
−1
2
−16k+10
Step 1: Flip the equation.
−16k+
19
2
=y
Step 2: Add (-19)/2 to both sides.
−16k+
19
2
+
−19
2
=y+
−19
2
−16k=y+
−19
2
Step 3: Divide both sides by -16.
−16k
−16
=
y+
−19
2
−16
k=
−1
16
y+
19
32
Answer:
k=
−1
16
y+
19
32
4. Use SUBSTITUTION to solve the system. x= y + 5 2y + x = -4
Answer:
if I I just want free point so I am
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
HELP PELASE ASAPppppp
Answer:
Part 1 d/a = a/f
d/b = b/c
e/c = c/f
Explanation:
The triangles are similar.
This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.
Part 2:
78
Explanation:
Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.
5x –19 = 2x +11
3x = 30
x= 10
5(10) –19 = 31
2(10) + 11 = 31
Add the three sides: 31 +31 +16 = 78
Part 3:
Sin A= Cos B. both are a/b
Sin C= Cos A both are c/b
Sin C = c/b
Explanation:
Remember S=o/h, C=a/h , T=o/h
Look at the relationship of the sides to the angles given. If the sides match, the statement is true.
Sine of angle A is side a to side b. This is opposite/hypotenuse
Cosine of angle B is side a to side b This is adjacent/hypotenuse.
The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.
This can be confusing, but the more you practice, the easier it gets.
I hope this helps!