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1 year ago

Solve the following equation for x: 6x-16=14

Mathematics

1 answer:

Ivenika [448]1 year ago

8 0

To solve the equation for x, first, we add 16 from both sides of the equation:

$\begin{gathered} 6x-16+16=14+16, \\ 6x=30. \end{gathered}$

Now, we divide by 6:

$\frac{6x}{6}=\frac{30}{6}.$

Finally, we get that:

$x=5.$

Answer:

$x=5.$

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Tell whether the system has one solution, infinitely many solutions, or no solution.

nadya68 [22]

X=-7y+34
x+7y=32

To begin with make the two problems the same kind of problem. By adding 7y on both sides for the first problem.
x+7y=34
x+7y=32

So the correct answer would be no solution because it's the same problem and it can't equal to different answers.

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3 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

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3 years ago

Aaron selected items totaling 48.75 at the farmerś market. he gave the farmer $60.00. She incorrectly gave him $12.25 in change.

Stolb23 [73]

Answer:

$11.25

Step-by-step explanation:

You give the farmer $60.00 and you subtract $48.75 = $11.25

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Lera25 [3.4K]

Answer:

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Step-by-step explanation:

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m = (y2-y1)/(x2-x1)

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= -9/(1+2)

= -9/3

= -3

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Step-by-step explanation:

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