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Nataliya [291]
3 years ago
10

What is the value of (-7 + 3i) - (2-6i)?

Mathematics
2 answers:
Doss [256]3 years ago
8 0

Answer:

9 (i - 1)

Step-by-step explanation:

Simplify the following:

-7 + 3 i - (-6 i + 2)

-(2 - 6 i) = -2 + 6 i:

6 i - 2 - 7 + 3 i

-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:

9 i - 9

Factor 9 out of 9 i - 9 giving 9 (i - 1):

Answer:  9 (i - 1)

gtnhenbr [62]3 years ago
7 0

Answer:

<h2>-9 + 9i</h2>

Step-by-step explanation:

(-7+3i)-(2-6i)\\\\=-7+3i-2-(-6i)\\\\=(-7-2)+(3i+6i)\\\\=-9+9i

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Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.
andrew11 [14]

Answer:

y=-x+3

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.

In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:

-\frac{1}{1} =\\-1

Therefore, our perpendicular slope is -1. We now have equation:

y=-x+b

We can plug in the known values of the point (-1,4) to solve for b.

4=(-1)*(-1)+b\\4=1+b\\b=3

If we now put what we found together, we have equation

y=-x+3

<em>I hope this helps! Let me know if you have any further questions :)</em>

7 0
3 years ago
Solve the system by substitution.<br> 3x + y = 20<br> -7y=x<br><br> Please help
alisha [4.7K]

9514 1404 393

Answer:

  (x, y) = (7, -1)

Step-by-step explanation:

The expression for x makes it easy to use that for substitution.

  3(-7y) +y = 20

  -20y = 20 . . . . . collect terms

  y = -1 . . . . . . . . . divide by -20

  -7(-1) = x = 7 . . . use y in the second equation to find x

The solution is (x, y) = (7, -1).

8 0
3 years ago
C)H2C = CH- CH3 + HBr -----&gt; CH3 - CH - CH3 |
n200080 [17]
Not quite sure what this is
3 0
3 years ago
ABC Bookstore rents a storage space that is 75 ft x 50 ft and
leva [86]

Answer:

The answer is B. 9375

Step-by-step explanation:

If you multiply 75*50 you get 3,750. Then if you multiply 9,385*2.50, you get 9,375.

8 0
3 years ago
Find the value of x in each figure (30 and 31)<br><br> (NEED TO KNOW ASAP!!)
blondinia [14]

Answer:

30) x=124

31) x=72

Step-by-step explanation:

30 Explanation: The shape has a total of 720 degrees since it is a hexagon.   There are two right angles you can subtract 180 from the 720 which leaves you with 540.  You know with the rest of the information can combine the remaining angles and make the equation 4x+44=540.  You then get x=124.  

31 Explanation: here is a total of 540 degrees in the shape.  Since the angles are all congruent you 540/5=108.  Since you need x you need to do x+108=180.  This means x=72.  

7 0
2 years ago
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