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ad-work [718]
3 years ago
13

Simplify (-4 + 5i) + 2(1 + 3i). Enter your answer in the form a + bi.

Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

(-4 + 5i) + 2(1 + 3i)

  • Distribute 2 inside the parentheses.

(-4 + 5i) + 2 + 6i

  • Combine like terms.
<h3>-2 + 11i</h3>
  • is your answer.
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Roberto purchased airline tickets for his family of 4. The tickets cost $1,250.The airline also charged a luggage fee,bringing t
goblinko [34]

Find the difference:

1400 - 1250 = 150

Divide the difference by the starting value:

150 / 1250 = 0.12

Multiply by 100:

0.12 x 100 = 12% increase.

3 0
3 years ago
Read 2 more answers
Can someone help me here<br><br> NONSENSE=REPORT​
lys-0071 [83]

\huge \qquad \sf \: Answer

Here we go ~

1. A circle can be named by their Centre, so here in the diagram it's :

  • Circle A

2. Name 4 radii :

Radii are the line segments that joins the centre and boundary of circle.

They are :

  • FA
  • GA
  • BA
  • CA

3. 2 Major arcs :

considering two points on a circle, and joining them forms a curve ( you can say part of circumference )

When we consider two points two arcs are formed and the arc with more length is known as Major Arc

That is :

  • Major arc ECF
  • Major arc BEC

4. A Semicircle :

Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.

that is :

  • Arc CF is a Semicircle

5. 3 minor arcs :

The arc formed by two points having lesser length is known as minor arc.

that is :

  • Arc EF
  • Arc BG
  • Arc FG

6. 3 Central angles :

Central angles are angles formed by arcs on centre of the circle ~

that is :

  • Angle FAB
  • Angle BAC
  • Angle GAB

7. A diameter :

Diameter is a chord that passes through centre of the circle.

  • CF

8. Congruent Angles :

In the given figure, there are two equal/congruent angles that are ~

  • Angle BAG and Angle GAF

9. Adjacent arcs :

The arcs that have one common end point are known as Adjacent arcs ~

that are :

  • Arc FG and Arc GB

4 0
2 years ago
Read 2 more answers
If f(x) = -5-4 and g(x) = -3 -2 find (f-g)(x)
asambeis [7]

<u>Answer:</u>

The correct answer option is D. -5^x+3x-2

<u>Step-by-step-explanation:</u>

We are given the following two functions:

f(x)=-5^x-4

and

g(x)= -3x-2

We are to find (f-g)(x) so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:

(f-g)(x) =(-5^x-4)-(-3x-2)

(f-g)(x)=-5^x-4+3x+2

(f-g)(x)=-5^x+3x-2

Therefore, (f-g)(x) is equal to -5^x+3x-2 so the correct answer option is D. -5^x+3x-2.

5 0
3 years ago
Solving special systems<br> {y=1/2x+4<br> {-1/2x+y=-5
ryzh [129]

Answer:

no solution

Step-by-step explanation:

Given the 2 equations

y = \frac{1}{2} x + 4 → (1)

- \frac{1}{2} x + y = - 5 → (2)

Substitute y = \frac{1}{2} x + 4 into (2)

- \frac{1}{2} x + \frac{1}{2} x + 4 = - 5 , that is

4 = - 5 ← not possible

This indicates the system has no solution

7 0
3 years ago
The table shows the outputs, y, for different inputs, x:
ASHA 777 [7]
Part A:
Yes, the data represent a function because there is at least one x-value for every y-value.

Part B:
When x=6 in the input-output table, y=14. When x=6 in the relation f(x)=7x-15, f(x)=7(6)-15=27. <span>The equation has a greater value when x=6.

Part C:</span>
Set f(x) equal to 6 in the equation:
6=7x-15
Solve for x:
7x=21
x=3
<span>x=3 when f(x)=6</span>
3 0
3 years ago
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