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Maslowich
3 years ago
14

Solve: y=3x and x+y=20​

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Answer:

x = 5, y = 15

Step-by-step explanation:

Use substitution to solve the system of equations.

We'll replace y in x + y = 20 with 3x, since y = 3x.

x + 3x = 20

Combine like terms

4x = 20

Divide by 4 on both sides

x = 5

Now to solve for y (don't forget!)

We'll plug x = 5 back into one of the original equations

y = 3(5) = 15

Check first equation:

15 = 3(5)

15 = 15

Check second equation:

5 + 15 = 20

20 = 20

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10p-2(3p-6)=4(3p-6)-8p
lisabon 2012 [21]

Answer:

undefined / no solution

Step-by-step explanation:

10p - 2(3p-6) = 4(3p-6) - 8p

10p - 6p - 12 = 12p - 24 - 8p

4p - 12 = 4p - 24

0 = -12

0 cannot equal -12

4 0
2 years ago
Please don’t skip! Urgent! Please just give me the answers to the solution part.
svlad2 [7]

Answer:

you have selected the correct option for the first part

in the second part, the answer is "there is no solution"

in the third part, the answer is "one solution" which is (0 , 1)

brainly it if you found this helpful

8 0
3 years ago
Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year)
jenyasd209 [6]

Answer:

110\ \text{km/myr} =11\ \text{cm/yr}

Step-by-step explanation:

To find : Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year) ?

Solution :

Using metric conversions,

1 kilometer = 1000 meter

1 meter = 100 centimeter

So, 1 kilometer = 100,000 centimeter

and 1 million year = 1,000,000 year

1\ \text{km/myr} =\frac{100000}{1000000}\ \text{cm/yr}

1\ \text{km/myr} =0.1\ \text{cm/yr}

So, 110\ \text{km/myr} =110\times 0.1\ \text{cm/yr}

110\ \text{km/myr} =11\ \text{cm/yr}

Therefore, 110\ \text{km/myr} =11\ \text{cm/yr}

6 0
3 years ago
Read 2 more answers
I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0
2 years ago
What is the relationship between two lines in the plane that intersect to form right angles?
makkiz [27]

the answer is C :)))

7 0
3 years ago
Read 2 more answers
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