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3 years ago

Which of the following is the equation of a line parallel to the line y=3x+2, passing through the point (10,1)?

1 answer:

7 0

$k:y=3x+2\\l:y=mx+b\\\\k\ ||\ l\iff m=3\\\\l:y=3x+b;\ (10;\ 1)\\\\3\cdot10+b=1\\30+b=1\\b=1-30\\b=-29\\\\l:y=3x-29\to 3x-y=29\\\\Answer:A.$

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What can you buy with a credit card ?

telo118 [61]

Answer:

Most goods and services

Step-by-step explanation:

A credit card can be used to purchase most goods and services, whether they are legal or not.

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3 years ago

For what x-values does sin(x) = -1

zzz [600]

$\pi /2$ or neg. 90 degrees

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3 years ago

From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.

Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is $d_1$ and it is given by

$tan (61^o)= \dfrac{50}{d_1}$

$d_1=\dfrac{50}{tan (61^o)}$

$\boxed{d_1= 27.71m}$

And the distance to the ship B is $d_2$ and is given by

$tan (28^o)= \dfrac{50}{d_2}$

$d_2=\dfrac{50}{tan (28^o)}$

$\boxed{ d_2=94.04m}$

Therefore, the distance $d$ between the ships A and B is

$d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}$

In other words, the ships are 66 meters apart.

8 0

3 years ago

Read 2 more answers

4(x + 2) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?

trasher [3.6K]

We know, distributive property: a(b + c) = ab + ac
4(x + 2) = 4x + 8

In short, Your Answer would be Option B

Hope this helps!

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3 years ago

Read 2 more answers

What is the inverse of the function f (x) = 3(x + 5)2 – 4, such that x ≤ –5?

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The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.

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2 years ago