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
DaniilM [7]
3 years ago
11

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i

B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.
Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

Answer:

Step-by-step explanation:

What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i

The conjugate is 7 - i

D if correct if you just made a typo. Otherwise there is no answer.

( - 3 + i ) * (7 - i)

=============

(7 + i ) ( 7 - i)

( - 3 + i ) * (7 - i)

=============

49 - i^2

( - 3 + i ) * (7 - i)

=============

49 + 1

( - 3 + i ) * (7 - i)

=============

50

I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.

spayn [35]3 years ago
3 0

You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get

(-22 + 4i)/50 which can be simplified to

(-11 + 2i)/25

You might be interested in
Is –2,823,680 − 8,957,599 positive or negative?
Scrat [10]

Answer:

negative

Step-by-step explanation: it has negative signs

3 0
3 years ago
Read 2 more answers
The equation y=1/3xis the boundary line for the inequality y>1/3x. Which sentence describes the graph of the inequality
Irina18 [472]
If th<span>e equation y=1/3x is the boundary line for the inequality y>1/3 x, then the solution set is illustrated by shading the area ABOVE the line y=(1/3)x.</span>
5 0
3 years ago
What is 20×40+3×9÷3+4
-Dominant- [34]
<span><span /><span>The answer to that problem is 813. When you are given a problem like this, you can answer it by using the MDAS technique. MDAS stands for multiplication, division, addition, and subtraction. Since you are following the MDAS technique, you are asked to answer the equation based on MDAS order. To put this simply, look at the example below:

     20x40+3x9/3+4
     800+3x9/3+4
     800+27/3+4
     800+9+4
     809+4
     813</span></span>  

You can clearly see the MDAS order by following the bold text.    


5 0
3 years ago
Read 2 more answers
Use the multiplier method to increase £88 by 14
Andrej [43]

Answer:

£88*1.14

Step-by-step explanation:

If you want to increase 88 by 14% that means you get 114% of 88.

This is very easy all you have to do is 88*1.14 and you get the answer.

8 0
3 years ago
Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your
BaLLatris [955]

f(x,y)=\dfrac{y^3}x

a. The gradient is

\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath

\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}

b. The gradient at point P(1, 2) is

\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}

c. The derivative of f at P in the direction of \vec u is

D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}

It looks like

\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath

so that

\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2

Then

D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}

\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}

7 0
3 years ago
Other questions:
  • Mandy built a pyramid for her project on Egypt with a
    10·2 answers
  • If -4(x-3)+5x=24, then x= what?
    5·1 answer
  • The letter b represents a constant. Solve the equation for x . bx=−7
    13·1 answer
  • Consider the following experiment: triplets are born and the order of birth of boys and girls is recorded.
    7·2 answers
  • Please help will give brainliest i need this its due wednesday and there are like 45-50 questions
    13·2 answers
  • 5 schools sent some students to a conference.
    12·1 answer
  • Is this correct? If not please tell me what is. If it is correct just say 'yep! it's correct!' or something like that- Thanks :)
    9·1 answer
  • Hello, happy Friday, I am just here with some geometry questions.
    8·1 answer
  • Find three solution of the equation: 2x + y = 7.​
    5·2 answers
  • 3x-5y=-6<br> -9x-5y=18<br> whats the answer
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!