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3 years ago

Simplify: (8 - 5i) - (-2 +3i)

Mathematics

2 answers:

andrezito [222]3 years ago

8 0

Answer:

Step-by-step explanation:

(8-5i)(2-3i)

using FOIL,

16-34i+15i squared?

Ipatiy [6.2K]3 years ago

7 0

Answer:

(3) -(1) = 2i

Step-by-step explanation:

use bomdass

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How do find what conjecture is and how to prove it ?

algol13

Answer:

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3 years ago

Match the reasons with the statements in the proof.

Len [333]

Observe the given figure.

Given: $m \angle 1 = m \angle 3, m \angle 2 = m \angle 3$

To prove: $l \parallel m$

Statement

1. $m \angle 1 = m \angle 3, m \angle 2 = m \angle 3$

Reason: Given

2. $m \angle 1 = m \angle 2$

Reason: Substitution

3. $\angle 1,\angle 2$ are alternate interior angles.

Reason: Definition of alternate interior angles

4. $l \parallel m$

Reason: If alternate interior angles are equal, then the lines are parallel.

7 0

4 years ago

Read 2 more answers

If f(x) = -2x^2 + 1 and g(x) = 3x, evaluate f(x) / g(x) for x = 2

adelina 88 [10]

I think that the answer is A.

3 0

3 years ago

A circle is centered on point B. Points A. C and D lie on its circumference.

olga_2 [115]

Answer:

So, ADC = 124/2 => ⛰ ADC = 62°

Step-by-step explanation:

If ABC i.e angle of centra = 124°

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle 

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62°.

Thank You ☺️ ☺️. 

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4 years ago

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Find the exact value of the trigonometric expression given that sin(u) = -(3/5),

GuDViN [60]

Recall that

$\cot(u+v)=\dfrac{\cos(u+v)}{\sin(u+v)}=\dfrac{\cos u\cos v-\sin u\sin v}{\sin u\cos v+\cos u\sin v}=\dfrac{\cot u\cot v-1}{\cot v+\cot u}$

Also, recall that for all $\theta$ ,

$\cos^2\theta+\sin^2\theta=1$

With $\frac{3\pi}2$ , we can expect $\cos u>0$ , and with $0$ , $\sin v>0$ . So from the above identity it follows that

$\cos u=\sqrt{1-\sin^2u}=\dfrac45\implies\cot u=\dfrac{\cos u}{\sin u}=-\dfrac43$

and

$\sin v=\sqrt{1-\cos^2v}=\dfrac8{17}\implies\cot v=\dfrac{\cos v}{\sin v}=\dfrac{15}8$

and so

$\cot(u+v)=\dfrac{-\frac43\frac{15}8-1}{\frac{15}8-\frac43}=\boxed{-\dfrac{84}{13}}$

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3 years ago