The equation is x √(x² + y²) = 7y x + y²
This equation describes a limacon, which is a type of polar curve.
Find a Cartesian equation for the curve and identify it. r 7tan() sec() circle O line O limaçon parabola O ellipse
The equation of the given curve is a limacon. A Cartesian equation for the curve r = 7tan(θ) sec(θ) is given by the following steps: First, make use of the identity sec²(θ) = tan²(θ) + 1, by multiplying both sides of the equation by sec(θ) on both sides of the equation. So, we have the following:
r = 7tan(θ) sec(θ)r sec(θ) = 7tan(θ) tan²(θ) + tan(θ)Then, replace tan(θ) with y/x and sec(θ) with r/x to get a Cartesian equation.
xr = 7y x + y²We can further simplify this equation by eliminating the variable r using the fact that r² = x² + y².
This results in the equation x √(x² + y²) = 7y x + y²
This equation describes a limacon, which is a type of polar curve.
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Ms. McCarty uses 19 inches of wire making jewelry. She uses 2/6 of the wire to make a ring and uses the rest to make a bracelet. How much more wire does Ms. McCarty use for the bracelet than the ring?
Answer:
Ms. McCarty used 19/3 inches (which simplifies to 6 1/3 inches) more wire for the bracelet than the ring.
Step-by-step explanation:
If Ms. McCarty used 2/6 of the wire to make the ring, then she used 4/6 (which simplifies to 2/3) of the wire to make the bracelet.
To find out how much wire she used for the bracelet, we can multiply the total amount of wire (19 inches) by 2/3:
19 inches * 2/3 = 38/3 inches
To find out how much more wire she used for the bracelet than the ring, we need to subtract the amount of wire she used for the ring (which is 2/6 or 1/3 of the total) from the amount of wire she used for the bracelet (which is 2/3 of the total):
(2/3) * 19 inches - (1/3) * 19 inches = (38/3 - 19/3) inches = 19/3 inches
Therefore, Ms. McCarty used 19/3 inches (which simplifies to 6 1/3 inches) more wire for the bracelet than the ring.
Can someone please give me the (Answers) to this? ... please ...
Slope is "change in y over change in x",
[1] \(\frac{-1 - 1}{-3 - 2}\) = \(\frac{-2}{-5}\)=
() \(\frac{2}{5}\)
[2] \(\frac{4 - -5}{2 - 4}\)=\(\frac{4 +5}{2 - 4}\)
() \(\frac{9}{-2}\)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
help Drag all the necessary steps into the box to find the products of 2.3x0.5 using partial products
Answer: it’s 2.0 x 0.5 and 0.3 x 0.5
Step-by-step explanation:
because 2.3 x 05 = 1.15
If you add the total numbers of 2.0 and 0.5 you get 1 and 0.3 x 0.5 is 0.15 if you add 1 and .15 you get 1.15! Hope I helped!
Write an equation for the linear function f with values f(6) = -4 and f(9) =-9.
how to work out a please
Answer:
a) 7x-5
b )7(100)-5 = 695
i cant find answer pls help me :)
Answer:
m n^4 p^3
Step-by-step explanation:
m^7 n^4 p^3 and m n^12 p^5
We have 7 m's on the left and one on the right
We have one m in common
We have 4 n's on the left and 12 on the right
We have 4 n's in common
We have 3 p's on the left and 5 on the right
We have 3 p's in common
m n^4 p^3
Answer:
m^1n^4p^3
Step-by-step explanation:
m^7n^4p^3 = mmmmmmmnnnnppp
mn^12p^5 = mnnnnnnnnnnnnppppp
Which factors are in common?
m^7n^4p^3 = mmmmmmmnnnnppp
mn^12p^5 = mnnnnnnnnnnnnppppp
Use common variables with lower exponent.
GCF = mnnnnppp
GCF = m^1n^4p^3
P.S. If you must fill in each box with an exponent, make sure you put a 1 for m, not a zero. m^1 = m, but m^0 = 1. If you are allowed to leave it blank, then leave it blank.
if it is dinner time what time is it?
Answer:
7:00
Step-by-step explanation:
Answer:
It’s 7 for dinner time brainliest please
Step-by-step explanation:
Prove the identity a p(p−1) ≡ 1 (mod p 2 ), where a is coprime to p, and p is prime. (Hint: Try to mimic the proof of Fermat’s Little Theorem from the notes.)
To prove this identity, we start with Fermat's Little Theorem, which states that if p is a prime number and a is any integer coprime to p, then a^(p-1) ≡ 1 (mod p).
Using this theorem, we can rewrite the given identity as a^(p-1) * a(p-2) ≡ 1 (mod p^2).
Next, we can multiply both sides by a to get a^(p-1) * a(p-1) ≡ a (mod p^2).
Since a and p are coprime, we can use Euler's Totient Theorem, which states that a^φ(p) ≡ 1 (mod p) where φ(p) is the Euler totient function. Since p is prime, φ(p) = p-1, so a^(p-1) ≡ 1 (mod p).
Using this result, we can rewrite our identity as a^(p-1) * a(p-1) * a^-1 ≡ a^(p-1) ≡ 1 (mod p), which implies that a^(p-1) ≡ 1 (mod p^2).
Therefore, we have proven the identity a p(p−1) ≡ 1 (mod p 2 ), where a is coprime to p, and p is prime.
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how to draw a model of 2 divided by 1/4
Answer: Answer below
Step-by-step explanation:
just draw 2 rectangles and draw 3 lines in each one to make 4 equal sections
(X2 + 2x - 1) + (x3 - 2x + 1)
Ramon wants to make an acute triangle with three pieces of wood. so far, he has cut wood lengths of 7 inches and 3 inches. he still needs to cut the longest side. what length must the longest side be in order for the triangle to be acute? exactly startroot 58 endroot inches greater than startroot 58 endroot inches but less than 10 inches less than startroot 58 endroot inches but greater than 7 inches not enough information given
Option C: Less than \(\sqrt58\\\) inches but greater than 7 inches
Ramon wants to make an acute triangle with three pieces of wood. So far,
he has cut wood lengths of 7 inches and 3 inches.
What length must the longest side be in order for the triangle to be acute?
According to the property of triangle,
If the square of larger side of triangle is equating to the sum of square of smaller side.
If \(a^{2} < b^{2}+c^{2}\) the triangle is acute triangle.
where, 'a' is the larger side and 'b' ,'c' are the smaller side
According to the question, Let a =a , b = 7, c = 3
\(a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58\)
Means to be acute triangle third side must be less than \(\sqrt58\) inches but greater than 7 inches.
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Answer:
less than 58 inches but greater than 7
Step-by-step explanation:
i got it right on edge
plss help help help can someone plss help me
~plss respect my question~
I really need this right now so please
Answer:
1) The stars are not constant in their position.
2) No. The stars aren't in original position because of apparent movement of stars in the sky.
3) Due to rotation of earth on its axis , the stars appear to move from west to east in the sky. Actually stars don't move as they are constant in their position but they appear to move with respect to earth.
4) Both the motion of stars & motion of sun are similar because both are an example of apparent motion. Both appear to change their respective positions but in reality , sun & stars are constant in their positions. But as earth is rotating , it appears like sun & stars are changing their positions.
Help will make you as brain
Answer:
THE THIRD COST FUNCTION MOST SUITABLY REPRESENTS THE STATEMENT
A person can read 24 pages of a book in 1/3 of an hour. What is this person's reading rate in pages per hour?
48
12
72
8
Answer:
72
Step-by-step explanation:
If he reads 24 pages in 1/3 of an hour, he reads 3 times as many pages in 1 hour.
3 × 24 pages = 72 pages
Answer: 72
solve the equation 5x+x-7=4x-2-x
Answer:
\(x=\frac{5}{3}\)
Step-by-step explanation:
Brainliest pls?
For some value of b, the expression 3(5x - 1) + b(2x - 7) is a constant. What is the constant?
The expression is constant for b = -7.5, and the constant is 49.5.
What is a mathematical Expression?A mathematical expression is a phrase that contains at least two terms or numbers and one action. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given that, The expression 3(5x - 1) + b(2x - 7) is constant
It means the expression doesn't consist of a variable. So, we need to find the 'b' such that the variable 'x' need to be eliminated.
The co-efficient of the 'x' should be '0'.
3(5x - 1) + b(2x - 7)
= 15x - 3 + 2bx - 7b
= (15 + 2b)x - 3 - 7b
Now, 15 + 2b = 0
2b = -15
b = -7.5
On substituting the value of 'b' in the expression,
= -3 - 7 * (-7.5)
= 52.5 - 3
= 49.5
Therefore, The expression is constant for b = -7.5, and the constant is 49.5
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FIND THE THE
MISSING ANGLE:
31°
29
Answer:
120°
Step-by-step explanation:
31 + 29 = 60
180 - 60 = 120
What is the value of x?
Answer:
x = 7
Step-by-step explanation:
The right angle is composed of the 2 given angles, so sum to 90°
4x + 40 + 6x - 20 = 90
10x + 20 = 90 ( subtract 20 from both sides )
10x = 70 ( divide both sides by 10 )
x = 7
6/2 (1+2)=?
Cevabınızı bekliyorum
Answer: 6/2 (1+2)= 9
6. Give the detailed steps you would take to enter the following equation in your graphingcalculator. Then provide a table of values using the table feature of your graphingcalculator.2x + y = 4
We have to solve this equation:
\(2x+y=4\)We have two variables and one equation that is linear.
We can make a table by giving values to x and then calculating the corresponding value of y.
Then, first we have to clear y from the equation.
We can do this as:
\(\begin{gathered} 2x+y=4 \\ y=4-2x \end{gathered}\)Then, we can calculate 3 points to make a table of values.
In a calculator, we have to press the keys '4', '-', '2', 'x' and the value we assigned to x.
For example if we start with x = 0, we would press: 4, -, 2, x, 0, = and obtain the value of y that correspond to x = 0.
We than can complete the table as:
x | y
-----|------
0 | 4
1 | 2
2 | 0
We can assign another values to x and obtain new values of y.
Which graph represents
(x-2)²_(v + 1)² <
16
-<1?
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7.
6+
5+
44
3+
2-
+|+||||||
-
-9-8-7-6-5-4-3-2-1+12345678910111213
-2-
-3-
-4-
5+
-6-
-7-
-8-
The graph of equation of Hyperbola (x - 2)²/16 - (y + 1)²/9 ≤ 1 is shown in image.
Since, We know that;
Hyperbola is defined as, two-branched open curve, a conic section, produced by the intersection of a circular cone and a plane that cuts both nappes of the cone.
Here, We have to given that;
The equation of Hyperbola is,
⇒ (x - 2)²/16 - (y + 1)²/9 ≤ 1
Since, WE know that;
Standard form of equation of Hyperbola is,
⇒ (x - h)²/a² - (y - k)²/b² = 1
Hence, Above equation shows the Hyperbola.
So, By using tool we can draw the graph equation of Hyperbola
(x - 2)²/16 - (y + 1)²/9 ≤ 1 as shown in figure.
Therefore, The graph of equation of Hyperbola (x - 2)²/16 - (y + 1)²/9 ≤ 1 is shown in image.
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Great questions! Now, I'll tell you:
First, perform a rotation 90 degrees clockwise.
Then. translate the figure 1 unit left and 3 units down.
Drag the green points to reflect the new shape. What are points K', L', M', and N'?
Answer:
answer:
the answer is -5
step-by-step explanation:
for an instance you lost 3 fingers of your one hand only to lose the other two then you won't have any finger in one hand therefore you have 5 less (-5) fingers. charot
The owner of an ice cream shop have determined that their daily revenue and cost in dollars are given by R = 4.15x C = 3.20x + 798 where x is the number of scoops served in a day
The daily revenue (R) is given by R = 4.15x, and the daily cost (C) is given by C = 3.20x + 798, where x is the number of scoops served in a day.
In more detail, the given equations represent a linear relationship between the number of scoops served (x) and both the revenue (R) and cost (C). The coefficient of x in the revenue equation, 4.15, represents the revenue generated per scoop served. Similarly, the coefficient of x in the cost equation, 3.20, represents the cost incurred per scoop served. The constant term 798 in the cost equation represents additional fixed costs.
To determine the daily profit, we can subtract the cost from the revenue: Profit = R - C = 4.15x - (3.20x + 798) = 0.95x - 798. This equation allows us to calculate the profit based on the number of scoops served.
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Can the measures of 10 inches, 11 inches and 12 inches form a right triangle? Explain your answer. *
Answer:
No
Step-by-step explanation:
The only arithmetic sequence of side lengths that will form a right triangle is (3, 4, 5) or some multiple of that, such as (9, 12, 15).
Sides of length 10, 11, 12 cannot form a right triangle.
Which expression could represent the phrase shown? (1 point)
"Subtract 2 from 6, then divide by 3"
Group of answer choices
3 ÷ 6 − 2
3 ÷ (2 − 6)
(2 − 6) ÷ 3
(6 − 2) ÷ 3
Answer:
(6 - 2) / 3
Step-by-step explanation:
First, use parenthesis to declare that whatever is inside will be done first. This is saying to subtract 2 from 6. Next, add / 3 after to show you are dividing the answer of 6-2 by 3.
In the figure shown the sum of the measures yxz and wxv is 75 degrees . what is the measure of zxw
Answer: 105 = WXZ
Step-by-step explanation:
180 = WXZ + 75
subtract both sides by 75 and you get WXZ is equal to 105
I'm not 100% sure, lmk if I'm wrong
Dana helped her dad build a sandbox for her younger sister. The sandbox is shaped like a rectangular prism that is 4 1 2 feet long and 4 feet wide. Dana used bags of sand to fill the sandbox 1 2 of a foot deep. Each bag contains 1 2 of a cubic foot of sand. How many bags of sand did Dana use?
The number of bags of sand needed to fill the sandbox is 18 bags
How to find volume of a rectangular prismLength = 4 1/2 ftWidth = 4 ftHeight = 1/2 ftQuantity of each bag of sand = 1/2 ft³Volume = L × W × H
= 4 1/2 × 4 × 1/2
= 4.5 × 4 × 0.5
= 9 ft³
Number of bags of sand needed to fill the sandbox = volume of the sandbox ÷ quantity of each bag
= 9 ft³ ÷ 1/2 fr³
= 9 × 2/1
= 18 bags
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PLSSS HELP! WILL MARK BRAINLIEST! reflections. IF YOU DON'T KNO PLS DON'T PUT ANYTHING. :)))
Study the points and corresponding images in the coordinate plane below.
Answer:
D
Step-by-step explanation:
x=4 is a vertical line so A and B are wrong.
D and D' are equidistant from the line of reflection so D is right
The region below has a population of about 14,000 people. Select the best approximation for the population density of the region.
5 mi
5 mi
100 people per square mile
180 people per square mile
350 people per square mile
500 people per square mile
A line has a slope of
1/4
and passes through the point (0.2,
4/5
Find the value of b, the y-intercept.
b = ???
Answer:
b = 3/4
Step-by-step explanation:
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4
b = 3/4
Using point slope: y - y1 = m(x - x1).
Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.
0.2 = 1/5, so 1/5 * 1/4 = 1/20
Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4