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Arisa [49]
3 years ago
13

What does it mean for a point to be the solution to two equations​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

It means the point will satisfy both the equations.

Step-by-step explanation:

If we consider a point P(x_{1},y_{1}) which is the solution of two equations ax + by + c = 0 and px + qy + r = 0, then it conveys the information that both the equations will be satisfied by this point.

That means ax_{1} + by_{1} + c = 0 and px_{1} + qy_{1} + r = 0

At the same time if we consider the geometric interpretation then, the graph of the equations ax + by + c = 0 and px + qy + r = 0 will always pass through the common point P(x_{1},y_{1}).  (Answer)

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Easy volume problem.
bagirrra123 [75]

Volume = l×b×h = 48×40×30 = 57600 cm²

5 0
3 years ago
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A total of 327 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student t
olga55 [171]
218 Students
109 Adults

Let x = adults
Let 2x = students

Add together and set equal to the total number. 
3 0
3 years ago
If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?
s2008m [1.1K]

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

7 0
2 years ago
If $500 is put into a savings account at 9% interest compounded continuously, how much will it be worth at the end of 3 years? H
Digiron [165]

Answer:

$654.98

Around 7.7 years

Step-by-step explanation:

Value = P × e^(rt)

= 500 × e^(0.09×3)

= 500 × e^(0.27)

= 654.9822254

Double: 500 × 2 = 1000

1000 = 500 × e^(0.09t)

e^(0.09t) = 2

Use ln both sides

0.09t × lne = ln2

t = ln2 ÷ 0.09

t = 7.70163543

7 0
3 years ago
number has 6 digits smallest digit is 0.01 largest digit is 8,000 digit in the tens is 2 less than digit on the hundreds the sum
monitta
What a problem!  We know that the largest digit is 8,000, and the smallest is 0.01.  The number is 8,_ _ _._1.  If the tens is 2 less than the hundreds digit, then if we make the hundreds digit x, the tens are x-2.  The tens digit plus the hundreds digit is the thousands digit, so x+(x-2)=8.  Let's solve: x+(x-2)=8.  Eliminate parentheses: x+x-2=8.  Use inverse operations:x+x-2+2=8+2.  x+x=10.  Combine terms: x+x=2x.  2x=10.  Divide: 2x/2=10/2.  x=5.

So the hundreds digit, x, is 5.  And the tens are x-2: 5-2=3.  The number is 8,53_._1.  And what's the only number that means the same, no matter what place value you put it in?  0!  This is the tenths place: 8,53_.01.  The remaining digit is the ones.  The largest one-digit even number is 8, so our number is 8,538.01!

Answer: 8,538.01
6 0
3 years ago
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