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r-ruslan [8.4K]
3 years ago
6

Simplify (1+3i) + (2-5i)​

Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

3 - 2i

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

<u>Algebra II</u>

  • Imaginary number <em>i</em> = √-1

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(1 + 3i) + (2 - 5i)

<u>Step 2: Simplify</u>

  1. [Addition] Combine like terms:                                                                        3 + 3i - 5i
  2. [Subtraction] Combine like terms (i):                                                               3 - 2i
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If you were to add 5 to my number and then divide by 4, you would get 7
Norma-Jean [14]
Let's make an equation. T will be the number.
(T+5)/4=7
Let's multiply both sides by 4 to get T by itself.
T+5=28
Subtract 5 from both sides.
T=23
Your number is 23.
3 0
3 years ago
Read 2 more answers
The answer is p = -2/3 and q= -2
igomit [66]

y=\dfrac{p}{q+x}\\\\\dfrac{1}{y}=\dfrac{1}{\frac{p}{q+x}}=\dfrac{q+x}{p}

We have x and y intercept:

(2, 0) and (0, 3).

Substitute the coordinates of points to the equation:

(2,\ 0)\\\\0=\dfrac{q+2}{p}\to q+2=0\to q=-2\\\\(0,\ 3)\\3=\dfrac{q+0}{p}\to3p=q\to3p=-2\to p=-\dfrac{2}{3}

6 0
3 years ago
Which input value produces the sane output value for the two functions on the gragh f(x)=-2/3x+1 g(x)=1/3x-2
zimovet [89]

Answer:

X=3

Step-by-step explanation:

We have two linear functions which intersect at a point. This point is shown in the attached graph. Linear functions are lines which are made of points that satisfy the function or relationship.  This means at the intersection, this point (3,-1), both functions have the same values. An input of x=3 produces y=-1 in both functions.


5 0
3 years ago
A tree casts you say shadow that is 9 feet long at the same time a person standing nearby casts a shadow that is 3 feet long if
inna [77]

we have that

Applying proportion

x/9=5.5/3

solve for x

x=9*(5.5/3)

x=16.5 ft

therefore

<h2>the answer is 16.5 ft</h2>
6 0
1 year ago
A. Write an expression for the area of the shaded region.
tekilochka [14]

Answer:

A. 25x² - 64

B. (5x + 8)(5x - 8)

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = 25x^2 - 64

B. The expression, 25x^2 - 64, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, a^2 - b^2 = (a + b)(a - b)

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

25x^2 - 64 = (5x + 8)(5x - 8)

4 0
3 years ago
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