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2 years ago

Is it posible for a system of linear equations to have exactly two solutions. true or false ?

Mathematics

1 answer:

deff fn [24]2 years ago

6 0

Answer:

False

Step-by-step explanation:

If both lines are linear, they can only have 0, 1 or infinite solutions. If one was a quadratic function, they would intercept twice.

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How many solutions are there to this equation? 6x+15=6(x-3)

nadya68 [22]

There is approximately 1 solution for this equation

4 0

3 years ago

A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po

Mariana [72]

Answer:

The work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

Step-by-step explanation:

The work is defined by:

$W=\int dFdx$ (1)

The force here will be the product between the volume and the kerosene weighing, so we have :

$dF=\pi R^{2}dy*50$

This force will be in-lbs.

Where R is the radius (3 feet)

Then using (1), we have:

$W=\int \pi R^{2}dy*50(8-y)$

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

$W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)$

$W=450\pi \int_{0}^{8}dy(8-y)$

$W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)$

$W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})$

$W=450\pi(8*8 -\frac{8^{2}}{2})$

$W=450\pi(64 -\frac{64}{2})$

Therefore, the work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

I hope it helps you!

6 0

2 years ago

y=3x−5 y=x−1 Is ( 2 , 1 )a solution of the system?

kotegsom [21]

Answer: Yes, (2,1) is a solution.

Point for : (2,1)

Equation form : x=2 , y=1

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Hope this helps you out! ☺

6 0

3 years ago

Read 2 more answers

Which statements are true about the figure? Select two

Nat2105 [25]

Answer:

The correct answers are A, C, D!

Step-by-step explanation:

I hope you do great!!

4 0

3 years ago

What is the value of x? A.39 B.41 C.26 D.17

mojhsa [17]

Answer:

The answer is B.

Step-by-step explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

${c}^{2} = {a}^{2} + {b}^{2}$

Let a = 40,

Let b = 9,

${c}^{2} = {40}^{2} + {9}^{2}$

${c}^{2} = 1600 + 81$

${c}^{2} = 1681$

$c = \sqrt{1681}$

$c = 41 \: units$

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.

3 0

2 years ago