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2 years ago

Solve this with elimination please, 3x + 6y = 6

2 answers:

8 0

Times 2nd equation by 2
add to first equation

3x+6y=6
<u>4x-6y=8 +</u>
7x+0y=14

7x=14
divide both sides by 7
x=2

sub back

2x-3y=4
2(2)-3y=4
4-3y=4
minus 4 both sideds
-3y=0
y=0

(x,y)
(2,0)

MA_775_DIABLO [31]2 years ago

6 0

(2,0) is the correct answer

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Tobias rented a kayak from a sports equipment store.

Ket [755]

Answer:

Step-by-step explanation:

Let x = every day he rented the kayak

Since the store charges $60 for each day, multiply x by 60 like this: 60x

They also have $25 on top of that; 60x + 25

This all has to equal $325; 60x + 25 = 325

To solve for x, subtract 25 from both sides

60x + 25 = 325

- 25 - 25

60x = 300

Divide both sides by 60

60x/60 = 300/60

x = 5

This means Tobias rented the kayak for 5 days

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2 years ago

Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

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2 years ago