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
Liono4ka [1.6K]
3 years ago
8

Multiply the equation 2x+2y=8 by 3. Does the equation have the same solution set?

Mathematics
1 answer:
stepan [7]3 years ago
3 0

Multiply the equation:

2x+2y=8 \mapsto 6x+6y=24

The solution set is the same, because multiplying both sides of an equation by a non-zero number doesn't change the solution set. In fact, if you rewrite the equation as

2x+2y-8=0

Multiplying this by 3 (or whatever number, for all it matters) gives

3(2x+2y-8)=0

Now, a product is zero if and only if at least one of the factor is zero. So, either 3=0 or 2x+2y-8=0

Since the first is clearly impossible, the second one must be true, which is the original equation.

You might be interested in
Can somebody help me with this. Please see the attachment.
mr_godi [17]
<h3>Answer:</h3>

48

<h3>Step-by-step explanation:</h3>

Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...

... CD +DP = (x+2) +(16-x) = 18

The radius of circle O is ..

... OC + CD = (x) + (x +2) = 2x+2

The length OP is ...

... OC + CP = (x) + (18) = x+18.

Now, the perimeter of ΔAOP is ...

... radius of circle O + radius of circle P + OP = 80

... = (2x+2) + 18 + (x+18) = 3x+38 = 80

Then x is ...

... x = (80 -38)/3 = 14

and the radius of circle O is

... 2x +2 = 2·14 +2 = 30

The desired sum is ...

... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18

... OB + BP = 48

6 0
3 years ago
62.5% of what number is 25 ?
denis23 [38]


40

62.5% = 0.625

25 ÷ 0.625 = 40

25 is 62.5% of 40

8 0
3 years ago
Graph f(x) = log5 (x-3).
Natali5045456 [20]

Step-by-step explanation:

We want to graph:

f(x) =\log_{5}(x - 3)

We first graph the parent function

g(x) =\log_{5}(x)

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

f(x) =\log_{5}(x - 3)

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.

6 0
3 years ago
Select all expressions that are equal to 3 1/4.
Ad libitum [116K]
26*1/8=13/4
<span>1/8 ×2=1/4
</span><span>4×13=52
</span><span>1/4×3=3/4
</span><span>13×1/4=3/14
</span>
I'd say the answer is none <span />
6 0
3 years ago
Which number is irrational?
julsineya [31]

Answer:

The square root of 3

Step-by-step explanation:

The other ones equal a number Ex Square root of 16 is 4 but the square root of 3 would be a large decimal

7 0
2 years ago
Read 2 more answers
Other questions:
  • Can you please help me?? Its urgent will upvote all correct answers!
    15·1 answer
  • John is catering a luncheon and needs
    10·1 answer
  • Find the dimensions of a rectangle whose area is 285 cm2 and whose perimeter is 68 cm.
    5·1 answer
  • Solve the equation graphically: 12x-7y=-6 5x-7y=27
    14·1 answer
  • Otto spent 3/4 of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he b
    13·2 answers
  • What is 1 and 1/3 of 240
    11·2 answers
  • HELP ASAP WILL GIVE BRAINLYEST IF RIGHT
    5·2 answers
  • PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution
    6·1 answer
  • PLZ HELP AS SOON AS POSSIBLE!!!!!!!!! WILL GIVE LIKE, 5 STARS, &amp; BRAINLIEST; THE WHOLE SHEBANG; (Worth 20 Points!)
    15·2 answers
  • If pi is 3.142 what is the area of a circle of radius 3.5 cm
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!