How do you Find the slope of the tangent line ?

Answers

Answer 1

you take the derivative of x and y, and then divide them to find the instantaneous slope.


Related Questions

A ,b,c or d? I need help pls help me

Answers

The answer will be Apples

It depends a lot on where you live. But I would assume the answer is apples. I hope this helps you out and have a nice day! :)

prove that root 3 + root 7 is irrational

Answers

Answer:

√3+√7 is irrational.

Step-by-step explanation:

Let us assume that √3+√7 is rational.

That is , we can find coprimes a and b (b≠0) such that \sqrt{3}+\sqrt{7}=\sqrt{a}{b}

3

+

7

=

a

b

Therefore,

\sqrt{7}=\frac{a}{b}-\sqrt{3}

7

=

b

a

3

Squaring on both sides ,we get

7=\frac{a^{2}}{b^{2}}+3-2\times \frac{a}{b}\times \sqrt{3}7=

b

2

a

2

+3−2×

b

a

×

3

Rearranging the terms ,

\begin{gathered}2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}}{b^{2}}+3-7\\=\frac{a^{2}}{b^{2}}-4\end{gathered}

b

a

×

3

=

b

2

a

2

+3−7

=

b

2

a

2

−4

\implies 2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}⟹2×

b

a

×

3

=

b

2

a

2

−4b

2

\begin{gathered}\implies \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}\times \frac{b}{2a}\\=\frac{a^{2}-4b^{2}}{2ab}\end{gathered}

3

=

b

2

a

2

−4b

2

×

2a

b

=

2ab

a

2

−4b

2

Since, a and b are integers , \frac{(a^{2}-4b^{2})}{2ab}

2ab

(a

2

−4b

2

)

is rational ,and so √3 also rational.

But this contradicts the fact that √3 is irrational.

This contradiction has arisen because of our incorrect assumption that √3+√7 is rational.

Hence, √3+√7 is irrational.

72°
Х
68
HSJDJFJDJFJRJDJFJDJFJFJJFHFJFJF

Answers

Answer:

140

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

x = 72 + 68

x = 140

Line A is represented by the following equation: X + y = 2

What is most likely the equation for line B so the set of equations has no solution?

Answers

Answer:

x+y=3

Step-by-step explanation:

For an equation to have no solution, their slope needs to be same and y intercept needs to be different,

so in this case where x+y=2

doing simply, x+y=3 makes a set of equation which has no solution, you can take any real value which is not 2

a golf course is trying to determine par for a particular hole. calculate the value they should put on the sign where people tee off so they know what par is for this hole.

Answers

The value they should put on the sign where people tee off so they know

what par is for the hole is six (6)

The reasoning through which the correct answer is arrived at is presented here given table of values which is presented as follows;

[tex]\left[\begin{array}{ccc}Golf \ Strokes \ (x)&Frequency \ (f) & f \times x\\2&16& 32\\3&21&63\\4&23&92\\5&20&100\\6&54&324\\7&40&280\\8&23&184\\9&16&144\\\sum&213&1,219\end{array}\right][/tex]

The mean number of golf strokes for the hole is ∑(f·x)/∑f

The calculation for f × x on the table includes;

∑(f·x) = (2×16 + 3×21 + 4×23 + 5×20 + 6×54 + 7×40 + 8×23 + 9×16) = 1219

∑f = 16 + 21 + 23 + 20 + 54 + 40 + 23 + 16 = 213

∴ ∑(f·x)/∑f = 1,219/213 = 5.72 ≈ 6

The mean number of golf strokes expected is approximately 6 strokes

The value they should put on the sign where people tee off so they know what par is for the hole is 6

The Perot Museum of Nature and Science in Dallas, Texas, offers a number of different membership levels for visitors. The Premium Membership is the most popular and costs $25 for each member for 1 month. Last month, 100 people purchased the Premium Membership. This month, 40 new people bought a membership and 15 people canceled

Answers

Answer:

$2875

Step-by-step explanation:

If the member ship costs 25 a month multiply it by 100 to find the amount of money made last month so 100*25=2500 to find the new amount take 100 add 40 and subtract 15 to find the number of people subscribed which is 115 multiply by 25 to get the total profit of 2875.

Given g(x) = -x + 4, find g(5).

Answers

Answer:

g(5) = -1

Step-by-step explanation:

Let x = 5.

[tex]g(5)=-(5)+4\\g(5)=-5+4\\g(5)=-1[/tex]

Answer:

-1

Step-by-step explanation:

g(x)= -x+4

then substitute 5 on x

=-(5)+4=-1

Kelly goes to the mall and buys a shirt for $27.99. This price is called the _________. The price paid by the retailer, for the product being sold, is known as the

Answers

Selling price; cost

Answer:

selling price; cost

Step-by-step explanation:

the total value of x 20 cent coins and y 5 dollar notes in cents

Answers

Answer:

20 x + 500 y cents

Step-by-step explanation:

20 x cents already given in question

converting 5 y dollars into cents (1 dollar=100 cents, 5 dollars =500 cents)

5 y dollars =500 y cents

20 x cents+500 y cents

20 x + 500 y cents

Use a calculator to find the mean of the data. {21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Answers

Answer:

22.8

Step-by-step explanation:

I just did the math :)

The mean of a given set of data is 22.8.

What is the arithmetic mean?

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Here, n = 21

⇒ ∑x = Sum of Observations

⇒ ∑x = 478.8

Mean = ∑x/n

Mean = 478.8/21

Mean = 22.8

Hence, the mean of the given data is 22.8.

Learn more about what Arithmetic means here:

https://brainly.com/question/13000783

#SPJ5

8(-7+n)=-128 please help ​

Answers

n = -9
8(-7+n) = -128
Divide both sides by 8
-7 + n = -16
Add 7 to both sides
n = -9

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answers

Answer:

it isn't the equation so it can't be any roots...

Step-by-step explanation:

[tex](2+1)^2+2=10-6\\4+4+1+2=10-6\\11\neq 4[/tex]

State the transformations on the graph of f(x) = ^ x that result in the graph of the given functions.
Write the transformation rule.

Answers

The answer is 9/10 because I did the test and that was the answer

On a unit circle, the terminal point of 0 is (square root of 2/2, square root of 2/2) what is 0?

Answers

Answer:

Step-by-step explanation:

0 should never be used as a substitute for θ!

(√2/2, √2/2) = (cos(45°), sin(45°))

The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (√2/2, √2/2), is 45°.

What is a terminal point?

The terminal point of a circle is defined as the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.

On a unit circle, the terminal point of θ is,

(√2/2, √2/2) = (cos(45°), sin(45°))

The value of theta at the terminal point (square root of 2/2, square root of 2/2) is 45 degrees.

Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (square root of 2/2, square root of 2/2) is 45°.

Learn more about the terminal point here;

brainly.com/question/4256586

#SPJ2

0.741 round to nearest one

Answers

Answer:

Step-by-step explanation:

Since round to the nearest one is too vague, i'll give everything this can be rounded too

Rounded to the nearest whole number

0.741 = 1

Rounded to the nearest tenth

0.741 = 0.7

Rounded the the nearest hundreth

0.741 = 0.74

Hopefully this helps

What’s the answers???

Answers

Step-by-step explanation:

[tex]3)b \: c \ \: d \: e \\ \\ 4)bc \: nd \: de \\ 5)s \\ 6)t \\ thank \: you[/tex]

Identify the equation of the circle that has its center at (7, -24) and passes through the origin.

Answers

Answer:

[tex](x-7)^{2}[/tex] + [tex](y+24)^{2}[/tex] = [tex]625[/tex]

Step-by-step explanation:

what is the algebraic expression of the quotient of16 and c

Answers

Answer:

16/c

Step-by-step explanation:

quotient means divide

16/c

Answer:

16/c

Step-by-step explanation:

since it says quotient...

u got to divide

PLS HELP ME OB THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

D. Positively skewed

Step-by-step explanation:

Cylinder A has a radius x and height y. Cylinder B has radius y and height x. What is the ratio of the volume of Cylinder A to the volume of cylinder B

Answers

Answer:

Step-by-step explanation:

Draco is a daddy’s boy

Explain why they substituted cos(60) with 1/2 ?

(Look at image)

Answers

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.


Find the missing angle. PLEASE HURRY

Answers

Answer:

x = 35.8°

Hope this helps...Have a good day!!

Answer:

x=35.8

Step-by-step explanation:

simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2

Answers

Answer:

I did this same answer on another app

hope this help☺️

K(x)=5^x+2 find (-2)

Answers

Answer:

1

Step-by-step explanation:

K(x)=5^(x+2)

Let x = -2

K(-2)=5^(-2+2)

       = 5^0

      = 1

Answer:

k(- 2) = 1

Step-by-step explanation:

Substitute x = - 2 into k(x) , that is

k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]

What is the standard equation of the circle?

Answers

Answer:

A is the answer

Step-by-step explanation:

the center of the circle is (-2,-1) so you're going to reverse their signs and insert that value in for x and y. the radius is 5, but the equation of a circle is

[tex]x ^{2} + {y}^{2} = {r}^{2} [/tex]

so you're going to square the radius, this making it 25.

A car start from rest . If the acceleration of the car is 0.2m/s^2, what will be it's velocity at the end of 3 minutes?And what distance will it cover at that time?​

Answers

Answer:

a=v-u÷t

0.2=v-0÷180

0.2×180=v

36=v

Complete the ordered pairs below so they satisfy the equation.
y = - 7x + 8

Answers

Answer:

x=8/7-y/7

Step-by-step explanation:

X=8/7-y/7 this is the answer

If a car travels at a uniform speed at 72 kilometers per hour, how many kilometers does it travel in 15
minutes?

Answers

Answer:

18 kilometres

Step-by-step explanation:

Speed of the car is 72 kilometres per hour

means the car runs 72 kilometers within 60 minutes

so, the car will travel in 15 mins,

72×15/60

= 72/4 = 18 kilometres

please answer! i need the answers in order to move on:)

Answers

Answer:

1) [tex](\sqrt{25})^{2}[/tex]

[tex]=25[/tex][tex]=5^{2}[/tex]

------------

2)

[tex]\sqrt{3}=3^{1/2}[/tex][tex]\sqrt[4]{3} =3^{1/4}[/tex][tex]\sqrt[3]{2} =2^{1/3}[/tex][tex]\sqrt[5]{2} =2^{1/5}[/tex]

-------------

3)

[tex](\frac{49}{64} )^{1/2}[/tex]

→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]

→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]

→ [tex]\frac{7}{8}[/tex]

------------

4)

[tex]\sqrt[3]{\frac{27}{125} }[/tex]

[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]

[tex]=\frac{3}{5}[/tex]

--------------

5)

[tex]32^{1/5}[/tex]

[tex]=(2^{5} )^{1/5}[/tex]

[tex]=2^{5\times1/5}[/tex]

[tex]=2[/tex]

--------------

OAmalOHopeO

Someone please helpp

Answers

Answer:

The two equations are similar because they both end up with the same common value. 0=0 The work you need to show that this is correct will be shown below.

Step-by-step explanation:

2(5m−4)−3(m−5)2=−3m2+40m−83

Add 3m^2 to both sides.

−3m2+40m−83+3m2=−3m2+40m−83+3m2

40m−83=40m−83

Subtract 40m from both sides.

40m−83−40m=40m−83−40m

−83=−83

−83+83=−83+83

0=0

If you have any questions regarding my answer please tell me in the comments, I will come and answer them. Have a good day.

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