1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhuklara [117]
3 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]3 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]3 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

You might be interested in
Can someone please explain?
geniusboy [140]

This is an isosceles triangle. The angles at the base are congruent (they have the same measures).

Look at the picture.

We know: The sum of the measures of angles in a triangle is equal 180°.

Therefore we have the equation:

2x-10+2x-10+3x+25=180       <em>combine like terms</em>

(2x+2x+3x)+(-10-10+25)=180

7x+5=180           <em>subtract 5 from both sides</em>

7x=175              <em>divide both sides by 7</em>

x=25

m\angle A=2x-10\to m\angle A=2(25)-10=50-10=40\\\\m\angle C=m\angle A=40\\\\m\angle B=3x+25\to m\angle B=3(25)+25=75+25=100^o

<h3>Answer: D. m∠C = 40</h3>

6 0
3 years ago
50 points! Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their ou
Assoli18 [71]
Melanie made a better decision


Hope I helped!

Let me know if you need anything else!

<span>~ Zoe (Rank:'Genius')</span>
5 0
3 years ago
Read 2 more answers
A coin is tossed 1000 times and heads showed up 625 and tails 375
Mnenie [13.5K]

Answer:

Heads: 5/8

Tails: 3/8

Step-by-step explanation:

The probability of getting tails is 375/1000 OR 3/8.

The probability of getting heads is 625/1000 OR 5/8.

4 0
3 years ago
Brooks traded $5250 for Japanese yen, immediately changed his mind, and then promptly traded his Japanese yen back into dollars.
alukav5142 [94]
I Believe it would remain the same unless there is a fee for converting the dollar to yen in the first place.

8 0
3 years ago
Read 2 more answers
Will mark brainliest!!! Help me please
MakcuM [25]

Answer:

solution given:

volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³

volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=

0.125m³

total volume=V1+V2=0.378m³+0.125m³=0.503m³

0.503m³ is your answer

3 0
3 years ago
Other questions:
  • Can u explain part B. Please
    10·1 answer
  • Julie recently drove to visit her parents who live 120 miles away. On her way there her average speed was 20 miles per hour fast
    8·1 answer
  • Which inequality statement best represents the graph below?
    9·2 answers
  • Please help ASAP Need HELP Please What if 9times3times 8 divided by 92?!?!??!
    5·1 answer
  • Find the value of 0.34 multiply by 9
    8·2 answers
  • the area of the base of a rectangular prism shown below is 45 square millimeters. The height is 5 1/2 millimeters. what is the v
    8·1 answer
  • Write the exponential function for each table of values. Remember the function y = a(b)*
    6·1 answer
  • Your friends shuffle the cards and then deal them. Select probability of getting a red card. Select probability of getting a spa
    14·1 answer
  • What are two components of a sample space
    9·1 answer
  • The area of a rectangle is x^2-4/2x in.^2 and its length is (x+2)^2/2 in. What is the width in inches?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!