Answers
[tex]y = x + \pi[/tex]
Step-by-step explanation:
We need to find the slope of the line tangent to y at [tex]x=-\pi[/tex] and we can do that by calculating the derivative of y at that point. We know that
[tex]y'(x) = \dfrac{d}{dx}(\tan{x}) = \sec^2{x}[/tex]
and
[tex]y'(-\pi) = \sec^2(-\pi) = 1[/tex]
To find the equation of the tangent line, we know that the line passes through the point [tex](-\pi, 0)[/tex] so we can write the slope-intercept form of the line's equation as
[tex]0 = (-\pi) + b \Rightarrow b = \pi[/tex]
Therefore, the equation of the line tangent to the point [tex]x = -\pi[/tex] is
[tex]y = x + \pi[/tex]
The graph of the two functions is shown above.
Related Questions
How do you get 7:46
Answers
7. John is going on a trip to Brazil. He has 3 pairs of pants, with colors blue, black and green. He
has 6 shirts with colors red, white, yellow, purple, green and brown. If he has a pair of brown
shoes, black shoes and a pair of sneakers, how many different combination of pants, shirts and
foot wear can he wear while on vacation? Show your work.
Answers
Answer:
54
Step-by-step explanation:
3(pants)x6(shirts)x3(shoes)=54
f(x)=10-9/2x
if f(x)=-53x find x
Answers
Answer:
x = -20/97
Step-by-step explanation:
f(x) = -53x is your output
so -53x = 10-9/2x
-53x - 10 = -9/2x
lets clear the fraction by multiplying each side by 2
-106x - 20 = -9x
-97x = 20
x = -20/97
When f(x) is equal to -53x, the value of x is approximately -0.2062. To find the value of x when f(x) is equal to -53x, we can set the two expressions equal to each other and solve for x:
Given: f(x) = 10 - (9/2)x , And: f(x) = -53x
Setting them equal to each other: 10 - (9/2)x = -53x
To solve for x, let's first get rid of the fraction. We can do this by multiplying the entire equation by 2: 2 * (10 - (9/2)x) = 2 * (-53x)
20 - 9x = -106x
Now, let's isolate the variable x on one side of the equation. Let's move the -9x term to the other side by adding 9x to both sides:
20 - 9x + 9x = -106x + 9x
20 = -97x
Finally, to find x, divide both sides by -97: x = 20 / -97
x ≈ -0.2062 (rounded to 4 decimal places)
So, when f(x) is equal to -53x, the value of x is approximately -0.2062.
To know more about expressions :
https://brainly.com/question/34132400
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Enter the correct answer in the box
Simplify the expression (62)4
Answers
Answer:
62•4=248
[tex]63^{4} =2^{24}[/tex]
Step-by-step explanation:
I didn't know which one you needed so here's both.
hi please help me here thank you very much.
ill give brainliest if able to.
Answers
Answer:
-1= -1/1
1 to 1 = 1/1
2:3 = 2/3
3 to 2 = 3/2
-2 = -2/1
Step-by-step explanation:
PLEASE HELP, ILL GIVE MANY POINTS AND BRAINLIEST ANSWER TOTHE FASTEST ONE
Answers
Answer:
WHATS THE QUESTION
Step-by-step explanation:
???rrtrttt r the r
Is it possible to construct a triangle with the side lengths of 6 cm 11cm and 13 cm why or why not?
Answers
Answer:
yes because....
Step-by-step explanation:
6 + 11 > 13
A. figure P
B. figure R
C. figure S
D. figure G
Answers
Answer:
D. figure G
Step-by-step explanation:
1) 2x11 =
I don’t know how to do this
Answers
Answer:
22, Twenty Two
Step-by-step explanation:
A good way to look at multiplying 11 is that the number, if it’s under 10, will then be two of that number. For instance, 4 x 11 = 44, 6 x 11 = 66, and so on and so forth.
Hope This Helped!
Hello everyone i need ur help to factor out this in a easy way.
Answers
9514 1404 393
Answer:
(x -1/4)(x -1)(x +1)
Step-by-step explanation:
Pairs of coefficients have the same ratio, so it is likely that you can factor this by grouping pairs of terms.
x³ -x -1/4x² +1/4 = (x³ -x) -(1/4x² -1/4) . . . . . . note the signs
= x(x² -1) -1/4(x² -1)
= (x -1/4)(x² -1)
The difference of squares (x² -1) is a special form that has factors (x -1)(x +1)
Your factoring is ...
(x -1/4)(x -1)(x +1)
_____
Additional comment
The difference of squares factors like this:
a² -b² = (a -b)(a +b)
******Please help me please help me help please help*****
Answers
Answer:
sorry
Step-by-step explanation:
sorry
2 1/4 - 2 1/4 x (3/5 + 1 2/3) divided by 4 1/5
Answers
Answer:
2 1/4 - ((2 1/4 * ((3 / 5) + 1 2/3)) / 4 1/5) = 1.03571429
Step-by-step explanation:
PLEASE HELP! I don’t know how to do this.
Answers
9514 1404 393
Answer:
(A, B, C) = (2, 5, 2)
Step-by-step explanation:
Undo the square operation by taking the square root. Both the positive and negative square roots are solutions to the equation.
[tex]c -2 = \pm\sqrt{50}[/tex]
Add 2 to both sides of the equation:
[tex]c = 2\pm\sqrt{50}[/tex]
Simplify the square root:
[tex]c=2\pm\sqrt{25\cdot2}=2\pm\sqrt{25}\cdot\sqrt{2}\\\\\boxed{c=2\pm5\sqrt{2}}\qquad\text{A=2, B=5, C=2}[/tex]
_____
Additional comment
Square roots are simplified by factoring out the factors that are perfect squares.
Please help please help please help please help
Answers
9514 1404 393
Answer:
(c) factoring and the zero-product principle
Step-by-step explanation:
Factoring is always an efficient method of solving a quadratic, if it has nice integer factors that can be easily identified. Here, the two prime factors of 35 have a sum of 12, so the factored form is easily found to be ...
(x +5)(x +7) = 0
This basically shows you the solutions are x=-5 and x=-7 "by inspection" in one step.
By contrast, the quadratic formula has 4 multiplications, a division, a square root, and 3 additions. That's a significant amount of arithmetic to get to the answers.
Factoring is the most efficient way to solve this quadratic.
Anna and Ravi are members of different clubs. Anna's club charges $25 per month. Ravi's club
charges $15 per month but has an annual fee of $40. After how many months will Anna and
Ravi have paid the same total amount?
Pls helppp
Answers
Let:
x = # of months
Anna: 25x
Ravi: 15x + 40
We set them equal to each other as they’d pay the same amount, and solve for x.
25x = 15x + 40
25x - 15x = 15x - 15x + 40
10x = 40
10x/10 = 40/10
x = 4
I need help please! (23)(−98)(−45)(−1)
Answers
Answer:
−101430
Step-by-step explanation:
Pictomath lol
Which of the following is the correct factorization of the polynomial below? 2p^2 - 10pq+ 25q^2
A. (2p-5q)(p-5q)
B. (2p-5q)(p+5q)
c. (2p-5q)(2p² + 2q)
D. The polynomial is irreducible.
Answers
Answer:
answer is in the photo
Step-by-step explanation:
Simplify each radical 1-4
Answers
Answer:
1- H , 2- B , 3- A , 4- F
Step-by-step explanation:
Just simplify and you will get the answer.
Goodluck
write 49/7 as a whole number
Answers
Answer:
7
Step-by-step explanation:
the fraction 49/7 is the same as the problem 49÷7
If you do the problem, you get 7, and if you want to check you could do the inverse- 7x7=49. Since that checks out, 7 is your answer.
Hope this helps :)
PLEASE HELP ITS MATH THANK YOUUUU
Answers
Answer:
24 feet
Step-by-step explanation:
3x1=3 and 8x3=24
PLEASE HELP ITS MATH THANK YOUUUU
Answers
382 hours
Explanation:
First we find hourly wage, which is 5406/318=17
Next, we just divide 6494 by the hourly wage to get the hours needed to work
6494/17=382
So if they work at an hourly wage of $17 an hour, then it would take 382 hours to get $6494
Answer:
318 hours
Step-by-step explanation:
5406/318=17
6494/17=382
Please help! Only answer if correct :)!!
Answers
Answer:
x....y
0....-9
-9...0
Solution:
Draw a line thru the 2 points.
Do the same for the other eqn. Where they incersect is the solution.
Here's the solution in attachment
A bookstore is having a 30% off sale. What is the sale price for a hardcover book that normally retails for $28.99?
Answers
Answer:
.30times 28.99=$8.697
PLEASE ANSWER QUICK
Which relation is represented by the arrow diagram?
Answers
Answer:
A is the correct answer
Step-by-step explanation:
I don't wanna explain UvU I'm too lazy and tired if you want me to explain then I will
kohl's is having a sale on shoes where you can buy 4 pairs of shoes for $92. walmart is also having a sale where you can buy shoes for $23 each. who has the better deal on shoes ?
Answers
4 x 23 = 92
four shoes cost $92 at Wallmart, but its the same at kohl's
wallmart price = kohl's price
$92 = $92
they are equal
A park ranger spent $120 to buy 8 trees. Redwood trees cost $20 and spruce trees cost $12
each. How many of each tree did the park ranger buy?|
Answers
Answer:
3 Redwood trees
5 Spruce trees
Step-by-step explanation:
Write 4/5 as an equivalent fraction in 3 different forms.
Answers
Two cars leave San Francisco at the same time traveling in opposite directions. One travels at an
average speed of 74 mph and the other at 78 mph. In how many hours will they be 304 miles apart?
Let x = time of travel for the first car and y = time of travel for the second car.
Then the system that
models the problem is {74x + 78y=304}
Solve the system by using the method of addition.
Answers
Answer:
i don't really know but can you explain more so I can understand how to do it
Convert 2.5 into Fraction and ¹⁹⁄₂₀ to decimal form
Answers
Answer:
0.25 would be 1/4 and 19/20 would be 0.95
Step-by-step explanation:
you can get 19/10 be divideing
and 0.25 by solving
2.5 has a decimal and a whole number part, so you can know that you will have 2 as your whole number.
.5 is five tenths, so you could say 5/10.
5/10 simplified is 1/2.
2.5 as a fraction is 2 1/2.
19/20 is a little harder, but let’s start!
We need to find what 20 is multiplied by to get 100. 100 divided by 20 is 5.
Now that you have that number, you want to multiply both the numerator and the denominator by 5.
19 x 5 = 95
_____
20 x 5 = 100
95/100 is easy to turn into a decimal.
Ninety-five one hundredths is 95/100.
Ninety-five one hundredths is also .95
Your answers are 2 1/2 and .95
8.9776 to nearest hundredth
Answers
Answer:
8.9770
Step-by-step explanation:
