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Nana76 [90]
2 years ago
6

Will give brainliest, thanks in advance!!

Mathematics
1 answer:
tester [92]2 years ago
8 0

Answer:

-3+15i

Step-by-step explanation:

Apply complex arithmetic rule: \left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i

\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i

-3 * 3 -3 (-2) = -3

-3+15i

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1.
kifflom [539]

Answer:

D. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

   = -2.5

   

  = 2.5

   

  = 7.5

2nd difference,

   = 5

   

  = 5

   

  = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

3 0
3 years ago
A carpenter has a wooden dowel that is 72 cm long. she wants to cut it into two pieces so that one piece is 5 times as long as t
Valentin [98]

Long Piece: 5x

Short Piece: x

(x) + (5x) = 72

6x = 72

x = 12

Long Piece: 5x  = 5(12)  = 60

Answer: 12 cm and 60 cm

3 0
3 years ago
Jane thinks of a number. call it X. She doubles her number, then adds 5 to double the number. What is the number?​
Anni [7]

Answer:

4X + 5

Step-by-step explanation:

We start with the unknown number, X.

Doubling the number :

⇒ 2 × X

⇒ <u>2X</u>

<u />

Adding 5 to double the number :

⇒ 2(2X) + 5

⇒ 4X + 5

6 0
3 years ago
Midterm Part 1
ArbitrLikvidat [17]

Answer:

Step-by-step explanation: ok

4 0
3 years ago
Need help solving. (No Links Please)
Airida [17]

Answer:

About 316.13

Step-by-step explanation:

We know:

Diameter (d) = <u>11</u> (of the circle)

Area of the circle: pi(11)^2 = <u>121pi </u>

Side of the square = <u>8 </u>

so area of the square is 8^2 = <u>64</u>

Area of the shaded region:

121pi-64 =316.13

hope this helped

3 0
3 years ago
Read 2 more answers
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