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Rama09 [41]
3 years ago
12

(3 + 4i) - (8 -5i) Write answer in standard form a +bi Group of answer choices

Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer:

A=-5+9i

Step-by-step explanation:

\left(3+4i\right)-\left(8-5i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3-8\right)+\left(4+5\right)i\\3-8=-5\\4+5=9\\\\=-5+9i

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A 55m and 35m broad park is surrounded by a 2.5m wide path.
daser333 [38]

Step-by-step explanation:

☄ \underline {\underline{ \text{Given}}} :

  • Length of a park ( l ) = 55 m
  • Breadth of a park ( b ) = 35 m
  • Width running outside the park ( d ) = 2.5 m
  • Rate of paving the path with stones = Rs 120 per sq.metre

☄ \underline{ \underline{ \text{To \: find}}}:

  • Area of the park
  • Cosy of paving the path with stones at Rs 130 per sq.metre

☄ \underline{ \underline{ \text{Solution}}} :

Part 1 : \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}

plug the known values and simplify :

⟹ \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}

⟹ \sf{5  \times 95}

⟹ \sf{475 \:  {m}^{2} }

Part 2 : \boxed{ \sf{Total \: cost = Area \: of \: paths \:  \times  Rate}}

⟹ \sf{475  \times 120}

⟹\sf{Rs \: 57000}

\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \:  {m}^{2}   \:  and \: (ii ) = Rs \: 57000}}}}}

Hope I helped ! ♡

Have a wonderful day /night ツ

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7 0
3 years ago
Find a solution to the linear equation 13x+y=26
Anna11 [10]

Answer:

y = -13x+26

Step-by-step explanation:

13x+y=26

y= -13x+26

8 0
3 years ago
I am looking to decrease my bill by 25%. Can you look at my current plan and tell me what I can remove to achieve this reduction
Gennadij [26K]

Answer: $35

Step-by-step explanation:

From the question, we are informed that the current bill of the person is $140.00 per month and that the person wants to decrease the bill by 25%.

To know the amount that the person needs to deduct, we have to calculate 25% of $140.00. This will be:

= 25% of $140

= 25/100 × $140

= 1/4 × $140

= 0.25 × $140

= $35

The person will need to remove $35. The person will now pay ($140 - $35) = $105 monthly.

6 0
3 years ago
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Ksivusya [100]

Answer:

A. less than three batteries were used in five hours.

4 0
3 years ago
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Find the midpoint M of the line segment joining the points A= (-7, -6) and B= (1,8).
Marrrta [24]

Step-by-step explanation:

Use midpoint formula,

x = -6/2 = -3 , y=2/2 =1

(x,y)=(-3,1)

so , the coordinates of mid point of line segment is M (-3,1)

8 0
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