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3 years ago

Find the equation of the line that is parallel to y=3x-2 and contains the point (2,11).

Mathematics

1 answer:

SOVA2 [1]3 years ago

6 0

Answer:

y - 11 = 3 (x - 2)

Step-by-step explanation:

This is in point slope form, that is by far the best form to be in. Point slope form is best when there is a point and it gives it to you in slope intercept form. you take the slope from the original equation and stick it into y - (y point) = slope (x - (x point)) you know it is the right equation because it gives you the slope, which is the same, and the point, which is given.

The way to get it into slope intersept form you just solve for y

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3 years ago

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Step-by-step explanation:

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3 years ago

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valentinak56 [21]

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3 years ago

Read 2 more answers

Which expression equals a number that is NOT a rational number?

rewona [7]

$\frac{3\pi.3^3}{7}$ is not included as a rational number !

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

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

$\frac{3\pi . 3^3}{7\pi}$ :

Let's evaluate this expression

⇒ $\frac{3(\pi) ( 3^3)}{7(\pi)}$

⇒ $\frac{3^4}{7}$

Therefore , It is a rational number ! .

$\frac{-18}{5}$ :

Let's evaluate this expression

⇒ $\frac{-18}{5}$

Therefore , It is a rational number ! .

$\frac{5}{3-7-9}$ :

Let's evaluate this expression

⇒ $\frac{5}{3-16}$

⇒ $\frac{-5}{13}$

Therefore , It is a rational number ! .

$\frac{3\pi.3^3}{7}$ :

Let's evaluate this expression

⇒ $\frac{3\pi.3^3}{7}$

⇒ $\frac{\pi.3^4}{7}$

Therefore , It is not a rational number , as pi is included ! .

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3 years ago

Read 2 more answers

Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ

PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that $XY = 10$ , which means $WO=\frac{XY}{2}=\frac{10}{2}=5$ , by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means $\angle OWZ = 90\°\\$ and $\triangle OWZ$ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.