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
Olin [163]
3 years ago
15

A line passes through the point (6,-2) and has a slope of -3/2

Mathematics
2 answers:
natita [175]3 years ago
8 0

Answer:

-1.5x - y + 7 = 0

Step-by-step explanation:

The formula for point slope form is y-yA = m(x - xA).

y - (-2) = -1.5(x + 6)

y + 2 = -1.5x + 9

y = -1.5x + 9 - 2

y = -1.5x + 7

-1.5x - y + 7 = 0 is the point slope form.

inysia [295]3 years ago
6 0
The answers about. was correct good job
You might be interested in
Help evaluating the indefinite integral
Dafna11 [192]

Answer:

\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }

General Formulas and Concepts:
<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:
\displaystyle (cu)' = cu'

Derivative Property [Addition/Subtraction]:
\displaystyle (u + v)' = u' + v'
Derivative Rule [Basic Power Rule]:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Integration

  • Integrals

Integration Rule [Reverse Power Rule]:
\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Property [Multiplied Constant]:
\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx

<u>Step 2: Integrate Pt. 1</u>

<em>Identify variables for u-substitution/u-solve</em>.

  1. Set <em>u</em>:
    \displaystyle u = 4 - x^2
  2. [<em>u</em>] Differentiate [Derivative Rules and Properties]:
    \displaystyle du = -2x \ dx
  3. [<em>du</em>] Rewrite [U-Solve]:
    \displaystyle dx = \frac{-1}{2x} \ du

<u>Step 3: Integrate Pt. 2</u>

  1. [Integral] Apply U-Solve:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du
  2. [Integrand] Simplify:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du
  3. [Integral] Rewrite [Integration Property - Multiplied Constant]:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du
  4. [Integral] Apply Integration Rule [Reverse Power Rule]:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C
  5. [<em>u</em>] Back-substitute:
    \displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.

---

Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

5 0
2 years ago
Find the value of x.. is the answer 103? if not how do you figure it our
scoundrel [369]

The angle diagonal to 103° is equal to 103°.  So here's your equation:

(103+14x+7)°=180°

So now you can simplify:

110°+14x=180°

now subtract 110 on both sides

14x=70°

now divide by 14 on both sides

so the answer is x=5°

hope this helps


5 0
3 years ago
Need help combining like terms
yaroslaw [1]

Answer:

-10x+7.5

Step-by-step explanation:

-2.5(4x-3)

Multiply each term by -2.5

-2.5 * 4x = -10x

-2.5 * 3 = 7.5

-10x + 7.5

7 0
3 years ago
Can someone help with the polynomials? Please
kolbaska11 [484]

Answer:

22x^2 -10xy + 12x

Step-by-step explanation:

To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.

  10x^2 + 12xy + 4x

+ 12x^2 -22xy + 8x

_________________

22x^2 -10xy + 12x

Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.

8 0
3 years ago
Which net represents this solid figure?
mafiozo [28]

Answer:

The 3rd one

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • One half of the birds at the pet store are yellow. Tara buys one of the yellow birds. Then one third of the birds at the store a
    11·2 answers
  • Pls help???????? need to have an explanation also
    5·1 answer
  • When does ticketmaster charge your credit card?
    15·1 answer
  • -3(10+-5)/(10-(-5))^2
    6·1 answer
  • 5 days equals how many hours? ​
    10·2 answers
  • Can someone help me with two please?
    14·1 answer
  • What is the constant of variation k of the line y=kx through (5,8)
    9·2 answers
  • Can you please help me answer this problem
    13·1 answer
  • Determine if the two triangles are congruent.
    8·2 answers
  • the temperature of an enclosure for a pet snake should be about 80f, give or take 5. find the maximum and minimum temperatures
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!