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
solmaris [256]
3 years ago
15

Easy one - giving brainly if correct!​

Mathematics
2 answers:
attashe74 [19]3 years ago
5 0

Answer:

option 4 is the right answer

Alex73 [517]3 years ago
3 0

Answer:

The last option is right

You might be interested in
What is the area of polygon XYZ?
Alex_Xolod [135]

Answer:

B. 36 square units

Step-by-step explanation:

This is a triangle and to calculate the area of a triangle we multiply height with base and that divided by two

The height of this triangle is 8 units and the base is 9 units

9 × 8 ÷ 2 = 36 square units

6 0
3 years ago
How do you find the limit?
coldgirl [10]

Answer:

2/5

Step-by-step explanation:

Hi! Whenever you find a limit, you first directly substitute x = 5 in.

\displaystyle \large{ \lim_{x \to 5} \frac{x^2-6x+5}{x^2-25}}\\

\displaystyle \large{ \lim_{x \to 5} \frac{5^2-6(5)+5}{5^2-25}}\\

\displaystyle \large{ \lim_{x \to 5} \frac{25-30+5}{25-25}}\\

\displaystyle \large{ \lim_{x \to 5} \frac{0}{0}}

Hm, looks like we got 0/0 after directly substitution. 0/0 is one of indeterminate form so we have to use another method to evaluate the limit since direct substitution does not work.

For a polynomial or fractional function, to evaluate a limit with another method if direct substitution does not work, you can do by using factorization method. Simply factor the expression of both denominator and numerator then cancel the same expression.

From x²-6x+5, you can factor as (x-5)(x-1) because -5-1 = -6 which is middle term and (-5)(-1) = 5 which is the last term.

From x²-25, you can factor as (x+5)(x-5) via differences of two squares.

After factoring the expressions, we get a new Limit.

\displaystyle \large{ \lim_{x\to 5}\frac{(x-5)(x-1)}{(x-5)(x+5)}}

We can cancel x-5.

\displaystyle \large{ \lim_{x\to 5}\frac{x-1}{x+5}}

Then directly substitute x = 5 in.

\displaystyle \large{ \lim_{x\to 5}\frac{5-1}{5+5}}\\

\displaystyle \large{ \lim_{x\to 5}\frac{4}{10}}\\

\displaystyle \large{ \lim_{x\to 5}\frac{2}{5}=\frac{2}{5}}

Therefore, the limit value is 2/5.

L’Hopital Method

I wouldn’t recommend using this method since it’s <em>too easy</em> but only if you know the differentiation. You can use this method with a limit that’s evaluated to indeterminate form. Most people use this method when the limit method is too long or hard such as Trigonometric limits or Transcendental function limits.

The method is basically to differentiate both denominator and numerator, do not confuse this with quotient rules.

So from the given function:

\displaystyle \large{ \lim_{x \to 5} \frac{x^2-6x+5}{x^2-25}}

Differentiate numerator and denominator, apply power rules.

<u>Differential</u> (Power Rules)

\displaystyle \large{y = ax^n \longrightarrow y\prime= nax^{n-1}

<u>Differentiation</u> (Property of Addition/Subtraction)

\displaystyle \large{y = f(x)+g(x) \longrightarrow y\prime = f\prime (x) + g\prime (x)}

Hence from the expressions,

\displaystyle \large{ \lim_{x \to 5} \frac{\frac{d}{dx}(x^2-6x+5)}{\frac{d}{dx}(x^2-25)}}\\&#10;&#10;\displaystyle \large{ \lim_{x \to 5} \frac{\frac{d}{dx}(x^2)-\frac{d}{dx}(6x)+\frac{d}{dx}(5)}{\frac{d}{dx}(x^2)-\frac{d}{dx}(25)}}

<u>Differential</u> (Constant)

\displaystyle \large{y = c \longrightarrow y\prime = 0 \ \ \ \ \sf{(c\ \  is \ \ a \ \ constant.)}}

Therefore,

\displaystyle \large{ \lim_{x \to 5} \frac{2x-6}{2x}}\\&#10;&#10;\displaystyle \large{ \lim_{x \to 5} \frac{2(x-3)}{2x}}\\&#10;&#10;\displaystyle \large{ \lim_{x \to 5} \frac{x-3}{x}}

Now we can substitute x = 5 in.

\displaystyle \large{ \lim_{x \to 5} \frac{5-3}{5}}\\&#10;&#10;\displaystyle \large{ \lim_{x \to 5} \frac{2}{5}}=\frac{2}{5}

Thus, the limit value is 2/5 same as the first method.

Notes:

  • If you still get an indeterminate form 0/0 as example after using l’hopital rules, you have to differentiate until you don’t get indeterminate form.
8 0
3 years ago
Looking for the 2 correct answers please
Fynjy0 [20]

Answer:

  • ROQ
  • QOP

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, and vice versa.

  sin ∠QOP = cos ∠ROQ

  cos ∠ROQ = sin ∠QOP

8 0
3 years ago
Find the solution of the inequality<br> of b &gt; 11.3
Tems11 [23]
The solution is the interval b is in ]11.3,  infinity[
4 0
3 years ago
Five times a number divided by 3 equals 35. WHats the solution
iren [92.7K]

5x/3=35

5x = 35*3=105

x= 105/5 = 21

 double check 5 x 21 = 105

105/3 = 35

3 0
3 years ago
Read 2 more answers
Other questions:
  • Product of 3 and 25 plus the product of 5 and 30? <br><br><br> It has to be an expression
    8·2 answers
  • How to find linear regression​
    9·2 answers
  • Which phrase describes the pattern? 1, 2, 5, 14, 41,...
    7·1 answer
  • The value of 2(28+7) is...
    9·2 answers
  • Find the Midpoint between<br> (2,1) and (3,4).
    6·1 answer
  • Simplify n²+11n+10/4n+36 + 2/n+9
    13·1 answer
  • A construction crew is placing a square in a wall for a new window. The window is 3 1/8 feet wide. The wall has a length of 11 3
    11·1 answer
  • 5
    13·1 answer
  • I need help Ill give brainlyiest
    13·1 answer
  • PLS FAST In a right triangle, angle A and angle B are acute, find the value of sinB given tanB=4/3.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!