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4 years ago

(7 - 10i) – (3 + 30i) =Express your answer in the form (a - bi).x

Mathematics

2 answers:

vodomira [7]4 years ago

8 0

Answer:

4 - 40i.

Step-by-step explanation:

(7 - 10i) – (3 + 30i)

= 7 - 10i - 3 - 30i

= 7 - 3 - 10i - 30i

= 4 - 40i

Hope this helps!

Semenov [28]4 years ago

3 0

Hey there! :)

Answer:

4 - 40i

Step-by-step explanation:

Subtracting the two expressions:

(7 - 10i) - (3 + 30i)

Distribute the negative sign:

7 - 10i - 3 - 30i

Combine like terms:

4 - 40i

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The range of a projectile that is launched with an initial velocity v at an angle of a with the horizontal is given by R

lara31 [8.8K]

Answer:

$\theta=30.285^{\circ}$

Step-by-step explanation:

The range of a projectile is given by :

$R=\dfrac{u^2\sin2\theta}{g}$

Put R = 20 m, u = 15 m/s and finding the value of angle of projection

So,

$R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}$

So, the required angle of projection is equal to $30.285^{\circ}$ .

3 0

3 years ago

Find an expression which represents the difference when (6x + 3) is subtracted

dalvyx [7]

Answer:

14x - 9x = 5x

Step-by-step explanation:

8x + 6 = 14x

6x + 3 = 9x

6 0

3 years ago

The sum of two numbers is 30. If three times the smaller number is equal to two times the bigger one, find the numbers.

MAVERICK [17]

Let the smaller number be x and the bigger number be y.
Therefore, 3x = 2y $= > x = \frac{2y}{3}$ $x + y = 30 \\ = > \frac{2y}{3} + y = 30 \\ = > \frac{2y + 3y}{3} = 30 \\ = > \frac{5y}{3} = 30 \\ = > y = \frac{30 \times 3}{5} \\ = > y = 18$
Therefore, the smaller number = 30 - 18 = 12