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Snowcat [4.5K]
3 years ago
10

If 5x - 3y = 1 and x = 2y - 4, then x • y = ?

Mathematics
1 answer:
Inessa05 [86]3 years ago
4 0

Answer:

x = 2,  y = 3

Step-by-step explanation:

i) It is given that 5x - 3y =1

ii) It is also given that x = 2y - 4

iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1   ⇒ 10y - 20 -3y =  1   ⇒  7y = 21  ∴ y = 3

iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.

v) Therefore x = 2.

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√45 is the distance between which of the following complex numbers?
Schach [20]

Step-by-step explanation:

we don't see the complex numbers.

so, we cannot check their distances.

a suspicion, though.

sqrt(45) a distance between 2 complex numbers is

sqrt(a² + b²).

so,

a² + b² = 45

a nice combination of whole square numbers would be 6 and 3.

6² + 3² = 36 + 9 = 45

if that is the case, then that would mean one of the following committed numbers

6 + 3i

3 + 6i

-6 + 3i

6 - 3i

-6 - 3i

-3 + 6i

3 - 6i

-3 - 6i

one of these numbers must be the result of the subtraction of the 2 provided complex numbers.

remember

(a + bi) - (c + di) = a-c + (b-d)i

3 0
3 years ago
Write 5/10 in three equivalent forms. with Decimals please
Vladimir [108]
1/2 2/4 3/6
0.5 0.50 0.500
6 0
3 years ago
Read 2 more answers
A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angula
Setler [38]

The angular speed of the wheel is calculated as 52.36 radians per second

<h3>How to solve for the angular speed</h3>

The revolution of this wheel is said to be at 500 in a minute

This is also called the frequency of this wheel.

This can be written as

500rev in 60 seconds. 500/60 = 8.333 per second

Angular speed is given as

pi = 22/7

f = 8.333

Formular for angular speed = ω = 2*pi*f

w = 2 * 22/7 * 8.333

= 52.36 radians per second

Read more on angular speed here:

brainly.com/question/6860269

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4 0
2 years ago
Solve for x:<br> 5y =3x + z
Neporo4naja [7]

Answer:

x=1 2/3y-1/3z hope this helps!

Step-by-step explanation:

5y=3x+z

-z        -z

5y-z=3x

/3      /3

1 2/3 - 1/3z=x

x=1 2/3y-1/3z

5 0
2 years ago
Read 2 more answers
= a fx The function f is defined by f (x) = 50-3^x. The function g is defined by g(x) = a · Here are graphs of f and g. y مه f Х
Margaret [11]

Answer:

Step-by-step explanation:

a, compares to 50 beacuse a means the staying point ; slope, so that’s why it starts at 50.


b, compares to 3 beacuse that is the y-intercept

6 0
2 years ago
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