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zhuklara [117]
2 years ago
14

X,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z​

Mathematics
2 answers:
Sindrei [870]2 years ago
8 0

Answer:

6, 8, 10

Step-by-step explanation:

x, y, z

y=x+2, z= x+4

  • y²- 2= 2x+5z
  • (x+2)²- 2= 2x+ 5(x+4)
  • x²+4x+4-2= 2x+5x+20
  • x²-3x-18=0

Solving the quadratic equation we get:

  • x=6, then y= 8, z= 10
  • x= -3 discarded as odd number

Rama09 [41]2 years ago
6 0

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  y^2-2=2x+5z\\  (x+2)^2-2=2x+5(x+4)\\x^2+4x+4-2=2x+5x+20

  x^2+4x+2=7x+20\\x^2+4x+2-7x-20=0\\x^2-3x-18=0\\(x+3)(x-6)=0(x=-3\ or \ x=6)

so the solutions are

x = 6

y = 8

x = 10

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D. You are running a 4500-foot race. How much farther
azamat

Answer:

2500 feet

Step-by-step explanation:

4500 minus 2000 = 2500

7 0
2 years ago
A teacher is four time as old as a student .in 20 years, the student 's age will be half of the teacher 's age. How old are they
notka56 [123]
Let the present age of student be x
Present of teacher will be 4x

After 20 years,
Age of student = x + 20
Age of teacher = 4x + 20

According to the given condition after 20 years,
x + 20 = (4x + 20)/2
x + 20 = 2x + 10
2x - x = 20 - 10
x = 10

So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.

Hope This Helps You!
5 0
3 years ago
Knife is 3 times cost of spoon<br> 9 spoons and 12 knifes is £82.80<br> what is 1 knife
xenn [34]

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

  • A knife is 3 times the cost of the spoon.
  • 9 spoons and 12 knives costs £82.80.

Solution :

  • This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
  • Linear calculations that requires more than one variable can be done with the help of linear equations.
  • The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

<h3>9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84</h3>

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  1.84 x 3 = 5.52

3 0
2 years ago
I need this please help ​
Korolek [52]

Answer:

30

Step-by-step explanation:

Add all of them

5 0
3 years ago
How many hours is 10 miles?
Aleksandr-060686 [28]
Depends on the speed
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