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
kolbaska11 [484]
3 years ago
8

Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation elimin

ates the y terms? Negative StartFraction 5 Over 8 EndFraction x + three-fourths y = 12 8 x + 12 y = 11
Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

10x - 12y = 192

Step-by-step explanation:

Given the equation :

-5/8x + 3/4y = 12 - - - (1)

8x + 12y = 11 ___(2)

The equivalent form of the first equation which can eliminate the y term :

Multiply (1) by - 16 :

-5/8x * - 16 + 3/4y * - 16 = 12 * - 16

10x - 12y = 192

Hence, Adding the obtained equation and equation(2) will eliminate.

You might be interested in
Mercury and venus are the sun than earth is.
Leno4ka [110]

closer to, shorter, longer.  (T=A^1.5

just took the assigniment.

3 0
3 years ago
Read 2 more answers
How to find the derivative of cos^2x? i seem to be confused.
slamgirl [31]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2927231

————————

You can actually use either the product rule or the chain rule for this one. Observe:

•  Method I:

y = cos² x

y = cos x · cos x


Differentiate it by applying the product rule:

\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x\cdot cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x)\cdot cos\,x+cos\,x\cdot \dfrac{d}{dx}(cos\,x)}


The derivative of  cos x  is  – sin x. So you have

\mathsf{\dfrac{dy}{dx}=(-sin\,x)\cdot cos\,x+cos\,x\cdot (-sin\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=-sin\,x\cdot cos\,x-cos\,x\cdot sin\,x}


\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark

—————

•  Method II:

You can also treat  y  as a composite function:

\left\{\!
\begin{array}{l}
\mathsf{y=u^2}\\\\
\mathsf{u=cos\,x}
\end{array}
\right.


and then, differentiate  y  by applying the chain rule:

\mathsf{\dfrac{dy}{dx}=\dfrac{dy}{du}\cdot \dfrac{du}{dx}}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{du}(u^2)\cdot \dfrac{d}{dx}(cos\,x)}


For that first derivative with respect to  u, just use the power rule, then you have

\mathsf{\dfrac{dy}{dx}=2u^{2-1}\cdot \dfrac{d}{dx}(cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2u\cdot (-sin\,x)\qquad\quad (but~~u=cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2\,cos\,x\cdot (-sin\,x)}


and then you get the same answer:

\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>

3 0
3 years ago
AYYYY GM CHICOS IB JAJAJAJAJA Anyways I just wanted to say gm and thats all
dolphi86 [110]

Answer:

Good Morning to you as well, How are you?

4 0
4 years ago
The sum of an integer and 7 more than the next consecutive integer is 66. find the integer
Cloud [144]

If the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.

Given that the sum of an integer and 7 more than the next consecutive integer is 66.

Integer is a number that is written without a fraction component. It can be positive as well as negative.

let the first integer be x.

Consecutive integer will be x+1.

Sum of integer and 7 more than the next consecutive integer is 66.

Sum according to the given information=x+x+1+7

=2x+8

2x+8=66

2x=66-8

2x=58

x=58/2

x=29

Next integer=29+1-30.

Hence if the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.

Learn more about integers at brainly.com/question/17695139

#SPJ4

8 0
2 years ago
Plz help!!!!!!!!!!!!!
vaieri [72.5K]

Answer:  The correct answer is -2,5/2 which is the last answer.

Step-by-step explanation:

* Hopefully the work below helps:)Mark me the brainliest:)!!

6 0
3 years ago
Read 2 more answers
Other questions:
  • The weight of 1000 identical samples of a substance is 0.1 pounds. What is the weight of 100 smaples?
    7·1 answer
  • if a 12 - sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with
    11·1 answer
  • ASAP what is the equation x = y + z solved for z
    5·2 answers
  • PLEASE HELP ME I HAVE TWO MINUTES LEFT BE NICE
    6·1 answer
  • Rewrite as an addition problem:<br> (5w +6u) - (4w - 3u)
    12·1 answer
  • What expression is not equal to one fourth of 52?<br> a. 0.25×52b. 4% of 52c. 52÷4d. 52/4
    7·2 answers
  • Please help me I need to get this right asap
    14·1 answer
  • How do I solve this triangle problem!!!​
    5·2 answers
  • Is -√15 irrational or rational
    7·1 answer
  • 8.4 x -7.2 y which algebra expression is equivalent to the following expression
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!