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3 years ago

Select the correct answer.

Mathematics

2 answers:

otez555 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, so

y = - 3x + c ← is the partial equation of the line

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Valentin [98]3 years ago

3 0

Answer:

A. y=-3x + 29

Step-by-step explanation:

The slope shows up in the equation as the coefficient of x. Only answer choice A has an x-coefficient of -3. It also happens to describe a line that goes through (7, 8).

y = -3x +29

___

Check

y = -3·7 +29 = -21 +29 = 8 . . . . as required

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Answer:

Well both of them ate the same thing.

Step-by-step explanation:

Do 1/3 multiply 2 which is 2/6 and 2/6=2/6 Same thing

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3 years ago

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Step-by-step explanation:

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3 years ago

Two ships set sail in different directions from the same place. Tyler's ship sail 35 miles while Noah's ship sails for 42 miles.

earnstyle [38]

Answer:

<em>The angle between their paths when they started is 93°.</em>

Step-by-step explanation:

<u>The Law of Cosines</u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

$c^2=a^2+b^2-2ab\cos x$

When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.

Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.

Since we know the values of all three side lengths, we solve the equation for x:

$\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}$

Substituting values:

$\displaystyle \cos x=\frac{35^2+42^2-56^2}{2(35)(42)}$

Calculating:

$\displaystyle \cos x=-\frac{147}{2940}=-\frac{1}{20}$

Computing the inverse cosine:

$x = \arccos(-0.05)$

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The angle between their paths when they started is 93°.

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3 years ago

If $\sqrt{5+n}=7$, then what is the value of $n$?

alina1380 [7]

Answer:

Step-by-step explanation:

We can solve the equation by simplifying it.

$\sqrt{5+n}=7$ , let's square both sides.

$5+n = 49$ . Now lets subtract 5 from both sides.

$n = 44$ .

Hope this helped!

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3 years ago

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Answer:

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Step-by-step explanation:

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