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3 years ago

Find the value of z A.110 B.141 C.80 D.100

Mathematics

1 answer:

gladu [14]3 years ago

5 0

Answer:

<h2>Option A 110degree is the answer </h2>

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The product of two numbers is 41. One of the numbers

shepuryov [24]

<h3>Answer: 5 - 4i (choice A)</h3>

===================================================

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

3 0

3 years ago

Z varies jointly with x, and y, and z=7 when x= 2, y= 2

fomenos

Answer:

Step-by-step explanation:

Complete question:

Z varies jointly with x and y , x=2 and y=2, z=7. Find z when x=4 and y=8 using joint variation . (I need the problem worked out step by step)

If z varies jointly with x, and y, this is expressed as;

z = kxy

If z=7 when x= 2, y= 2

7 = k(2)(2)

7 = 4k

k = 7/4

To get z when x= 4 and y = 8

z = kxy

z =7/4 (4)(8)

z = 7*8

z = 56

Hence the value of z is 56

7 0

3 years ago

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

AVprozaik [17]

Answer:

The equation would be $4x-15=21$ .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = $x-5$

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = $2(x-5)=2x-10$

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

$x+x-5+2x-10=21\\\\4x-15=21$

Hence The equation would be $4x-15=21$ .

On Solving we get;

Adding both side by 15 we get;

$4x-15+15=21+15\\\\4x=36$

Dividing both side by 4 we get;

$\frac{3x}{4}=\frac{36}{4}\\\\x=9$

Hence Nicholas has = 9 video games

Robert has = $x-5= 9-5=4$ video games

Charlie has = $2x-10 = 2\times9-10=18-10=8$ video games

5 0

3 years ago

Read 2 more answers

Which of the following inequalities matches the graph?

Mamont248 [21]

Answer:

Step-by-step explanation:

y ≤ 5x - 1

- 5x + y ≤ - 1

5x - y ≥ 1

8 0

3 years ago

HALP HALP HALP HALP HALP

ss7ja [257]

1. yes
2. yes
3. yes
4. no

yw :)

7 0

3 years ago

Read 2 more answers