PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

The given curve has equation

r(θ) = 9 + 8 cos(θ)

and its derivative is

dr/dθ = -8 sin(θ)

When θ = π/3, we have r (π/3) = 13, and dr/dθ (π/3) = -4√3.

Differentiate these with respect to θ :

dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)

dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)

In polar coordinates, we have

y(θ) = r(θ) sin(θ)

x(θ) = r(θ) cos(θ)

and when θ = π/3, we have y (π/3) = 13√3/2 and x (π/3) = 13/2.

The slope of the tangent line to the curve is dy/dx. By the chain rule,

dy/dx = dy/dθ • dθ/dx = (dy/dθ) / (dx/dθ)

dy/dx = (dr/dθ sin(θ) + r(θ) cos(θ)) / (dr/dθ cos(θ) - r(θ) sin(θ))

When θ = π/3, the slope is

dy/dx = (-4√3 sin(π/3) + 13 cos(π/3)) / (-4√3 cos(π/3) - 13 sin(π/3))

dy/dx = (-4√3 (√3/2) + 13 (1/2)) / (-4√3 (1/2) - 13 (√3/2))

dy/dx = - 1/(17√3)

So, the tangent line has slope -1/(17√3) and passes through (13/2, 13√3/2). Using the point-slope formula, its equation is

y - 13√3/2 = -1/(17√3) (x - 13/2)

y = -(x - 338)/(17√3)

Answer:

[tex]y = - \frac{1}{2} x + \frac{9}{2} [/tex]

Step-by-step explanation:

find the y-intercept

[tex]3 = - \frac{1}{2} (3) + b \\ 3 = - \frac{3}{2} + b \\ \frac{6}{2} + \frac{3}{2} = b \\ b = \frac{9}{2} [/tex]

Answer:

[tex]70f^{3}g^{2}h[/tex]

Step-by-step explanation:

Answer:

6 in.

Step-by-step explanation:

Answer:

After depositing rs. 1500 ratan got rs. 7500 in his bank account. When he withdrew 1/3 of 7500, he withdrew rs. 2500 from his bank account.. so left amount in bank is 7500-2500= 5000 rupees

Step-by-step explanation:

brainliest

Answer:8:26

Step-by-step explanation:you subtract what time it is by 1:34 then take away 60 for a hour and add it to a hour so taking 60 mins gives you a hour

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (1, 4 ) → J' (- 1, 4 )

K (1, 0 ) → K' (- 1, 0 )

L (4, 3 ) → L' (- 4, 3 )

Plot the points J', K', L' and connect them in order to obtain image

Answer:

T(m) = 5m

Step-by-step explanation:

The number of miles will multiply the price per mile, so the result will be the total price

Answer:

167°

Step-by-step explanation:

x = 167°

Answer:

30+4+0.5+0.07+0.006

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

ez

Answer:

11

Step-by-step explanation:

Step 1:

Since b = 3, substitute 3 into the expression for b

2(3) + 5

Step 2:

2(3) = 6 so the expression is now 6 + 5

Step 3:

6 + 5 = 11

Answer: its the same amount

Step-by-step explanation:

Answer:

2y + 3x = -17

Step-by-step explanation:

standard form is Ax + By = C

first step is to distribute -3/2 among 'x' and then by 1 to get:

-3/2x - 3/2

you now have y + 7 = -3/2x - 3/2

we want to get the -3/2x term on the same side as 'y' and get 7 from the right side to the left side

we want to add 3/2x to the left side of the equation because it is being subtracted:

y + 3.2x + 7 = -3/2

now we want to subtract 7 to the right side because it is currently being added:

y + 3/2x = -7 3/2

we can convert -7 3/2 to be -17/2

we now can eliminate the denominator of 2 in the 'x' term by multiplying each term by 2 to get:

2(y + 3/2x) = -17/2(2)

distribute and simplify to get:

2y + 3x = -17

Answer:

[tex]y = - \frac{4}{5} x + \frac{6}{5} [/tex]

Step-by-step explanation:

First subtract 4x on both sides in order to get -5y alone. Now you have -5y = 4x + 6 (since neither 6 nor 4x are like terms). Now divide -5 on both sides in order to get rid of it, so we can get y by its self. Now you have y = -4/5 x + 6/5

Hope this makes sense. Also please tell me if I'm wrong and I'll be happy to look at it again for ya :)

Answer:

Step-by-step explanation:

you just gotta add all the side-lengths together and consider each grid square as 10 instead of 1.

so 70 + 40 + 20 + 60 + 20 + 40 i believe.

this all equals 250.

ask your teacher if its a type, because there's no 250 on there. grab a calculator or something as proof.

Answer:

As follows,

Step-by-step explanation:

The picture isn't clear but i will try,

ax+b>d

a<0

Then,

1.x>(d-b)/a

xa>d-b

ax+b>d

Which is true, thus x>(d-b)/a is true.

2.x<(d-b)/a

ax<d-b

ax+b<d

Which is false, thus x<(d-b)/a is false.

3.x<d/a-b

x<(d-ab)/a

ax<d-ab

ax+ab<d

Which is not given, thus x<d/a-b is false.

4.x>d/a-b

x>(d-ab)/a

ax>d-ab

ax+ab>d

Which is not given, thus x>d/a-b is false.

Step-by-step explanation:

1 yes it is rational

2 not

3yes

4 not

5 yes

Answer:

Y=-3/1x+7

Step-by-step explanation:

-3/1 is the slope, which is negative, and 7 is the y intercept ( the value that is marked at the middle of the y-axis).

Answer: 33.125

Step-by-step explanation:

So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.

9514 1404 393

Answer:

  A. dollars = euros × 0.75

  B. the exchange rate is the slope of the graph

Step-by-step explanation:

A. The graph indicates 1 euro will be exchanged for 0.75 dollars, or 4 euros for 3 dollars.

__

B. This exchange rate is the slope of the line on the graph: 0.75 dollars per euro.

Answer:

800.10

Step-by-step explanation:

every part after than and is behind a decimal point.

The equation of the line is represented in table number 2. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the y-intercept is 5. Then the equation is given as,

y = mx + 5

From the graph, the equation passes through (-4, -3). Then we have

- 3 = (-4)m + 5

- 8 = - 4m

m = 2

Then the equation is given as,

y = 2x + 5

The equation of the line is represented in table number 2. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

9.6 centimeters

EXPLANATION

20 meters = 12 centimeters

15 meters = x

20 meters/12 centimeters = 15 meters/x

20 meters/0,12 meters = 16 meters/x

1666.66 = 16 meters/x

x = 16 meters : 1666.66

x = 0.096 meters

x = 9.6 centimeters

#LearnWithEXO

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

Answer:

2/3multiply by20 u get 13.3 pounds

Answer:

c. 270m^3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

6×5×9

30×9

270