1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valkas [14]
3 years ago
12

Did I do this right?

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0
\bf f(x)=|x+2|\implies f(x)=\pm\sqrt{(x+2)^2}\implies f(x)=\left[ (x+2)^2 \right]^{\frac{1}{2}}
\\\\\\
\cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{1}{2}[(x+2)^2]^{-\frac{1}{2}}\cdot 2(x+2)^1\cdot 1}\implies \cfrac{dy}{dx}=[(x+2)^2]^{-\frac{1}{2}}(x+2)
\\\\\\
\cfrac{dy}{dx}=\cfrac{x+2}{[(x+2)^2]^{\frac{1}{2}}}\implies \left. \cfrac{dy}{dx}=\cfrac{x+2}{\pm \sqrt{(x+2)^2}} \right|_{x=1}\implies \cfrac{3}{\pm 3}

check the picture below. the point 1,3 is on the increasing slope side, so will be 3/3 or 1.

You might be interested in
Who does cos 60 degrees compare to cos -60 degrees
Neporo4naja [7]
Hello :
cos60 = cos(-60)=0.5
3 0
3 years ago
Write the equation of the following circle in general form and standard form. Show your work.
o-na [289]

Answer:

I’m coming back to this hold on a sec brotha and be patient

Step-by-step explanation:

5 0
3 years ago
Given: ∆ABC, AC = 12,<br> AB = BC = 10<br> Find: m∠A, m∠C, m∠B
4vir4ik [10]

Answer:

  • m∠A ≈ 53.13°
  • m∠B ≈ 73.74°
  • m∠C ≈ 53.13°

Step-by-step explanation:

An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.

Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.

  m∠A = m∠C ≈ 53.13°

  m∠B ≈ 73.74°

_____

The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:

  Cos = Adjacent/Hypotenuse

If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.

A diagram does not have to be sophisticated to be useful.

3 0
3 years ago
HELP Layla is single. She had a taxable income of $51,256. How much does she owe in taxes?
vova2212 [387]
She will owe like 25% of the income so she will be paying somewhere around $12,814... Hope this helps and if it doesn't please tell me!

8 0
3 years ago
Explain why it does not matter which point you choose when writing the equation of the line in point-slope form, given two point
k0ka [10]

Answer:

Donno that one...

Can't explain

8 0
3 years ago
Other questions:
  • What is the surface area of the square pyramid?
    7·2 answers
  • Suppose the measure of an angle is 67 degrees what is the measure of its complementary angle
    15·1 answer
  • Which fraction is equivalent to 0.3636?
    8·2 answers
  • forty percent of the first 20 whole numbers are prime. how many of the first 20 whole numbers are prime​
    5·1 answer
  • Does anyone know the steps to this you don't have to give me the answers but just the steps plz​
    15·1 answer
  • Please help me now plz I will mark you brainliest
    5·1 answer
  • Write in simplest form:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24a%5E%7B10%7Db%5E%7B6%7D%7D" id="TexFormula1" ti
    7·1 answer
  • 59:
    10·1 answer
  • Write a number using the following clues:
    8·1 answer
  • A square pyramid is shown sitting on its base.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!