Which equation represents the polar form of x – y = 0?
A. θ = 0
b. Theta = pi/4
c. Theta = 3pi/4
d. θ = π
Answers
Your question: "Which equation represents the polar form of x – y = 0?"
Answer:
b. Theta = pi/4
We want to write an equation that represents the polar form of:
x - y = 0.
We will see that the correct option is b, the polar form is given by:
θ = pi*/4
First, polar form is a way to write equations using radius and angle as variables, instead of the known x and y that we usually use.
To change the variables we have the general rule:
R = √(x^2 + y^2)
θ = Atan(y/x)
So here we have:
x - y = 0.
Then we can write this as:
x = y.
Then the angle is given by:
θ = Atan(y/x) = Atan(x/x) = Atan(1) = 45°
Writing this in radians we get:
45° = 45°*(pi/180°) = pi*/4
Then we have:
θ = pi*/4
Then the equation that represents the polar form is:
θ = pi*/4
From this, we can see that the correct option is b.
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Related Questions
Simplify the numerator [n] and give the factors of the denominator [d] after simpifying.
Answers
Hi... U should do like this...
(I'LL BE GIVING BRAINLIEST TO WHO EVER HELPS ME!!
Which expression results in a sum or difference of three and four forty eighths?
A) two and two twenty fourths plus one and one half
B) one and three twelves plus two and one quarter
C) seven and nine sixteenths minus four and one third
D) six and two sixths minus three and two eighths
(Here is an image if needed) :
Answers
Answer:
Step-by-step explanation:
D) six and two sixths minus three and two eighths
Answer:
D) six and two sixths minus three and two eighths
Step-by-step explanation:
A heater raises the temperature in a room by 3 degrees Celsius per hour. What is the rate in degrees Fahrenheit per minute? Hint: search for convert celsius to fahrenheit
Answers
Answer:
...you can just look up a Fahenheit to Celsius/vice versa/ calculator. it would have been so much faster and easier, but *sigh*
approx. 0.623 F per minute
Step-by-step explanation:
Sam's new room is square, and each side measures 15 feet. What is the
area of the room?
Answers
Answer:
225 feet
Step-by-step explanation:
Square sides are always the same size so just multiply 15x15.
Area = 225 feet
At his birthday party, Mr Green would not directly tell how old he was. He said, "If you add the year of my birth to this year, subtract the year of my tenth birthday and the year of my fiftieth birthday, then add my age, the result is 122". How old is Mr Green
Answers
Answer:
61 years old in the year 2020Step-by-step explanation:
Let us assume the question was asked in the year 2020, that is this year
Say that Mr. Green was born in year x
The mathematical expression for his statement is given as
[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]
Solve for x
x + 2020 + 2020 - x - x - 60 - x = 122
4040- 122- 2x = 0
3918= 2x
divide both sides by 2
3918/2= x
x=1959
He was born in 1959, so now
he is (2020-1959)
=61 years old.
Please help 30 points!!'
Write an equation based on the following conditions in slope/y intercept form
Perpendicular to 3x-4y=9 through (-15,-4)
also can yall provide some shown work as my geometry teacher asked for shown work
Answers
Answer:
The equation of line perpendicular to given line passing through (-15,-4) is:
[tex]y = -\frac{4}{3}x-24[/tex]
Step-by-step explanation:
Given equation is:
[tex]3x-4y = 9[/tex]
The given equation is in standard form. We have to convert it into slope intercept form first.
The slope intercept form is:
[tex]y = mx+b[/tex]
So,
[tex]3x-4y=9\\3x-9 = 4y\\4y = 3x-9\\\frac{4y}{4} = \frac{3x-9}{4}\\y = \frac{3}{4}x - \frac{9}{4}[/tex]
The co-efficient of x is the slope of the line.
m = 3/4
The product of slopes of two perpendicular lines is: -1
Let m1 be the slope of line perpendicular to given line then
[tex]m.m_1 =-1\\\frac{3}{4} . m_1 = -1\\m_1 = -1 * \frac{4}{3} \\m_1 = -\frac{4}{3}[/tex]
Putting in slope-intercept form
[tex]y = m_1x+b\\y = -\frac{4}{3}x+b[/tex]
To find the value of b, putting (-15,-4) in equation
[tex]-4 = -\frac{4}{3}(-15) +b\\-4 = 20+b\\-4-20 = b\\b = -24[/tex]
The equation will be:
[tex]y = -\frac{4}{3}x-24[/tex]
Hence,
The equation of line perpendicular to given line passing through (-15,-4) is:
[tex]y = -\frac{4}{3}x-24[/tex]
4x - 2y = -20
7x + 2y = -2
Answers
Answer:
(-2, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 2y = -20
7x + 2y = -2
Step 2: Rewrite systems
4x - 2y = -20
Add 2y to both sides: 4x = 2y - 20Divide 4 on both sides: x = 1/2y - 5Step 3: Redefine systems
x = 1/2y - 5
7x + 2y = -2
Step 4: Solve for y
Substitution
Substitute in x: 7(1/2y - 5) + 2y = =-2Distribute 7: 7/2y - 35 + 2y = -2Combine like terms: 11/2y - 35 = -2Add 35 to both sides: 11/2y = 33Isolate y: y = 6Step 5: Solve for x
Define original equation: 7x + 2y = -2Substitute in y: 7x + 2(6) = -2Multiply: 7x + 12 = -2Subtract 12 on both sides: 7x = -14Divide 7 on both sides: x = -2Step 6: Graph systems
Check the system.
which is equivalent to 2(5m)+m? options are 11m, 12m, 5m+2 or 7m+2m
Answers
Answer:
11m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
2(5m) + m
Step 2: Simplify
Multiply: 10m + mAdd: 11mAnswer:
11m
Step-by-step explanation:
2 times 5m equals 10m and 10m plus m equals 11m
Which is the mode for the data set? −1, 0, 3, 4, −3, −1
Answers
Answer:
-1
Step-by-step explanation:
The mode is just the data point that is present the most, which is -1.
Answer:
-1
explanation:
2
Viviana is ordering carpet
for 16 square rooms in a
hotel. Each room will need
100 square feet of
carpet. What is the
length of 1 room?
Answers
Answer:
Length of a room is 10ft
Step-by-step explanation:
Given
[tex]Rooms = 16[/tex]
[tex]Carpet\ Area = 100ft^2[/tex]
Required
Determine the length of each room
Here, we'll assume that the carpet will cover each room completely.
If so:
[tex]Carpet\ Area = Length * Length[/tex]
[tex]100ft^2 = Length * Length[/tex]
[tex]100ft^2 = Length^2[/tex]
Take square root of both sides
[tex]\sqrt{100ft^2} = \sqrt{Length^2}[/tex]
[tex]\sqrt{100ft^2} = Length[/tex]
Take positive square root
[tex]10ft = Length[/tex]
[tex]Length = 10ft[/tex]
Hence, the length of a room is 10ft
Find the value of y
Im so lost can someone help and explain
Answers
Find the product
1. (-3) (8)
2. (-12)(-8)
3. -72 ÷ (-9)
Answers
Answer: 1.) -24
2.) 96
3.) 8
Step-by-step explanation:
1.) A negative number multiplied times a positive number will automatically equal a negative answer. Ex: (-9) (5) = -45
2.) A negative number multiplied times a negative number will autimatically equal a positive answer. Ex: (-4) (-5) = 20
3.) This is the same as the statement above, but all you're doing this time is dividing. A negative number divided by a negative number will equal a positive number. Ex: -36 ÷ (-9) = 4
In △ABC, G is the centroid. If CG=12 find CD.
Answers
Answer:
CD = 24
Step-by-step explanation:
If G is the centroid, then CG = GD. (12 = 12)
Since CD is CG and GD combined, we would just add these two numbers to find the total length of CD.
CG + GD = CD
12 + 12 = 24
What is the equation in slope-intercept from of the line that passes through the point (3, 1) and is parallel to the line represented by y = 2.4x + 6.5?
Answers
Y = 2.4x + b
Plug in the point to find b
1 = 2.4(3) + b
1 = 7.2 + b
b = -6.2
Final equation: y = 2.4x - 6.2
A circle has a diameter of 4 inches. A square has a side length of 4 inches. What is true about the areas of these two figures?
Answers
The area of the square is greater than the area of the circle.
A submarine started at the
surface of the water and was moving underwater at
22 feet per minute toward the ocean floor. The submarine traveled at this rate
for 75 minutes before coming to rest on the ocean floor. Which of the following
integers represent the depth of the ocean floor in feet?
Answers
Answer:
1650
Step-by-step explanation:
75x22+1650
Solve the system of equations algebraically.
5x - 3y = 6
6x - 4y = 2
a. many solutions
C.
no solution
b. (8, 14
d. (9. 13)
Please select the best answer from the choices provided
Ο Α
ОВ
О С
Answers
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
the option 'd' is correct.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}5x-3y=6\\ 6x-4y=2\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}5x-3y=6\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:30x-18y=36[/tex]
[tex]\mathrm{Multiply\:}6x-4y=2\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:30x-20y=10[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ 30x-20y=10\end{bmatrix}[/tex]
[tex]30x-20y=10[/tex]
[tex]-[/tex]
[tex]\underline{30x-18y=36}[/tex]
[tex]-2y=-26[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ -2y=-26\end{bmatrix}[/tex]
solve for y
[tex]-2y=-26[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-2[/tex]
[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]
[tex]y=13[/tex]
[tex]\mathrm{For\:}30x-18y=36\mathrm{\:plug\:in\:}y=13[/tex]
[tex]30x-18\cdot \:13=36[/tex]
[tex]30x-234=36[/tex]
[tex]30x=270[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}30[/tex]
[tex]\frac{30x}{30}=\frac{270}{30}[/tex]
[tex]x=9[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
Therefore, the option 'd' is correct.
please help with this question will give brainlyest if you get it right
the answer choices are
9 and 22/40
9 and 3/28
10 and 22/40
10 and 11/13
please help!!!!!!!
Answers
We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.
So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.
So the third answer choice is correct.
Hope that helped!
An image of a celebrity is going to be used on a promotional billboard. The person is 6 feet tall in real life, and 24 feet tall on the billboard. What is the scale factor of this dilation?
Answers
Answer:
3.5
Step-by-step explanation:
What is 7.504-2.3792 rounded to the hundred
Answers
Answer:
0
Step-by-step explanation:
First what we have to do is subtract 7.504 and 2.3792 7.504 - 2.3792 = 5.1248then what we do isfind the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0. Round up if this number is greater than or equal to 5 and round down if less than five.Since zero is less than five we would round down
so our answer is zero
Hope this helps
Hope u get it right
I need help guys, what's the line segment of PN.
Answers
Answer:
It's a shared side???? It's a leg of a right triangle??? What are you specifically asking for? I need numbers
Step-by-step explanation:
What is 0.62x10 yo the power of 3
Answers
Answer:
62
Step-by-step explanation:
Answer:
238.328
Step-by-step explanation:
The product of 0.62 x 10 is 6.2. So, I did 6.2 to the power of 3, which is 238.328.
A normal body temperature for a human is approximately 98°F. What is this temperature in degrees Celsius? Round your answer to the nearest 10th.
Answers
Answer:
36.67
Step-by-step explanation:
when you solbe you get 36.667 then round to become 36.67
Answer:
37°C
Step-by-step explanation:
The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,
➳ C/5 = F -32/9
➳ C/5 = 98 - 32/9
➳ C/5 = 66/9
➳ C = 66/9 × 5
➳ C = 36.66 °C ≈ 37°C
Hence the body temperature in Celsius measure is 37°C .If u cant see it well zoom in
Butt please help me i need this now!
Answers
Second: slope = 18/6 = 3
Third: slope = 10/2 = 5
3(2^2x+3)-5(2^x+2)-156=0 in logarithm form
Answers
Answer:12x-157-5.2x
Step-by-step explanation:Like this or you want us to solve it lol
The given equation can be written in logarithmic form as xlog(2) + log(3 × 2ˣ - 5) = log(157).
What is Logarithm?Logarithm function is defined as the inverse of the exponential function.
If a^(b) = c, then b = log(c) at the base of a.
Logarithm of any number is always positive.
For negative numbers, the logarithm are complex numbers.
The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]
Suppose 2ˣ be t, then the equation can be rewritten as,
3(t² + 3) - 5(t + 2) - 156 = 0
⇒ 3t² - 5t = 157
⇒ t(3t - 5) = 157
Take logarithm both sides to get,
log(t(3t - 5)) = log(157)
Use the property log(ab) = log(a) + log(b) to get,
log(t) + log(3t - 5) = log(157)
Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,
xlog(2) + log(3 × 2ˣ - 5) = log(157)
Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).
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Yes, AA
Yes, SAS
Not similar
Yes, SSS
Answers
Answer:
Yes, AA
Step-by-step explanation:
These triangles are similar because 2 angles in each triangle are congruent.
Do you guys know this
Answers
Answer:
18
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.
We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.
5*Hi please answer this very fast!! which answer is correct the left or right one?
Answers
Answer:
right i think
Step-by-step explanation:
im scared to tell my parents im gay plz give me motivation
Answers
Same here love!! Remember that if the living environment can get dangerous that it's better to stay in the closet, but besides that Good luck!
A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is _____ as large as the principal times the monthly interest rate.
Answers
Answer:
at least
Step-by-step explanation:
A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is AT LEAST as large as the principal times the monthly interest rate.
The correct word that missing in the statement is at least.
Given that, a statment is given we have to determine which word is missing the statment.
What is the investment?Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.
The monthly payment being at least equal to the principal multiplied by the monthly interest rate is a reasonable estimate for a long-term loan with a moderate or high-interest rate. So the correct statement is given as,
"A fairly good estimate for a long-term loan with a moderate or high-interest rate is that the monthly payment is at least as large as the principal times the monthly interest rate."
Thus, the correct word that missing in the statement is at least.
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