All categories

3 years ago

What is the absolute value of -4 - 9i ? a) -13 b) 5 c) √65d) √97

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

$|-4-9i|=\sqrt{(-4)^4+(-9)^2}=\sqrt{16+81}=\boxed{\sqrt{97}}$

Answer d)

You might be interested in

Geometry question, any help is appreciated

kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere $V_{s}$ = 250 $yd^{3}$

Volume of large sphere $V_{l}$ = 686 $yd^{3}$ .

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = $\frac{4 \pi \times r^{3}}{3}$ , this gives us that the ratio of the radius = ∛ $V_{s}$ : ∛ $V_{l}$

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = $4 \pi \times r^{2}$ , this gives us that the ratioof surface area = $r_{s} ^{2}$ : $r_{l} ^{2}$

i.e The ratio of the surface area = $5^{2}$ : $7^{2}$ = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

4 0

2 years ago

Read 2 more answers

In circle O, m∠R = 30.8°. Find m∠NOQ.

nordsb [41]

Given:

In circle O, m∠R = 30.8°.

To find:

The m∠NOQ

Solution:

Central angle theorem: According to this theorem, the central angle is always twice of subtended angle on the same arc.

Angle NOQ and angle NRQ are on the same arc but ∠NOQ is the central angle and ∠NRQ is the subtended angle on the arc NQ.

Using central angle theorem, we get

$m\angle NOQ=2\times m\angle NRQ$

$m\angle NOQ=2\times m\angle R$

$m\angle NOQ=2\times 30.8^\circ$

$m\angle NOQ=61.6^\circ$

Therefore, $m\angle NOQ=61.6^\circ$ .

4 0

2 years ago

If a_1=2a 1 =2 and a_n=(a_{n-1})^2-2a n =(a n−1 ) 2 −2 then find the value of a_4a 4 .

Aleks04 [339]

9514 1404 393

Answer:

Step-by-step explanation:

We assume your recursive formula is ...

$a_1=2\\a_n=a_{n-1}^2-2$

Using this to find a4, we get ...

$a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}$

6 0

2 years ago

What is the inverse function of f(x) = -2?<br> Hurry please

notsponge [240]

Answer:

Step-by-step explanation:

2x/x-1

4 0

2 years ago

Solve:<br> 3x - 4+2(x-5)= 9x + 8- 2x

Zepler [3.9K]

Answer:

x = -11

Step-by-step explanation:

3x - 4 + 2(x - 5) = 9x + 8 - 2x

3x - 4 + 2x - 10 = 9x + 8 - 2x

3x + 2x - 9x + 2x = 8 + 10 + 4

- 2x = 22

- x = 22/2

- x = 11

x = - 11

7 0

2 years ago