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Bumek [7]
2 years ago
6

A sailboat drifts 600 meters west, makes a turn and sails 800 meters south. How far is the sailboat from its original position?

Please Explain how you got the answer if you can. I'd like to understand this question more.
Mathematics
1 answer:
Bezzdna [24]2 years ago
3 0
The <span>Pythagorean theorem</span> is what is most useful here, and a calculator; for the following...
Imagine forming a triangle by creating that last leg between the starting position and the ending position; the length of that side will be our missing variable "y".

600<span>² + 800</span>²= y<span>²

The sum of the two (600</span><span>² & 800</span>²) must then be square rooted to find the length

y² = 1,000,000 and the square root of y<span>²= 1,000 (YOUR ANSWER) "y"</span>
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Complete the point-slope equation of the line through (-4,8) and (4,4)
S_A_V [24]

Answer:

y-4= -1/2(x-4)

Step-by-step explanation:

First you have to find the slope to write it in point slope

to do this you find change in Y over change in X

From -4 to 4 is postivite 8 and from 8 to 4 its -4

Now you do -4 divided by 8 and get -0.5 or -1/2 for slope now pick one of the points and put it in the formula y-y1=m(x-x1)

3 0
2 years ago
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Simplified fraction of 49 out of 112
SVETLANKA909090 [29]
The simplified fraction of 49\112 is 7/16. This results from you finding a common number which can divide into 49 and 112 equally. In this case the number is 7. Resulting in the answer 7/16.
7 0
3 years ago
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If you have 5 tenths of a dollar, how much money do you have
horrorfan [7]
A tenth is 1/10.
5 tenths is 5/10.

5/10 is a fraction that can be made simpler, by dividing by 5, so that the fraction becomes 1/2.

1/2 is a half, so if you have a half a dollar, you have 50 cents.

Hope I helped. :)
8 0
3 years ago
-4 8 i know the answer is 4 but i don't know how i got ir
REY [17]
If it's -4+8, -4 is 4 less than 0. 8 is 8 more than 0, also 4+4. so -4+4 would be zero, then there's 4 more and 0+4 is 4
8 0
3 years ago
Given LaTeX: f\left(x\right)=x^{^3}-3x+4f ( x ) = x 3 − 3 x + 4, determine the intervals where the function is increasing and wh
Vedmedyk [2.9K]

Answer:

Increasing: x and x>1.

Decreasing: -1

Step-by-step explanation:

We have been given a function f(x)=x^3-3x+4. We are asked to determine the intervals, where the function is increasing and where it is decreasing.

First of all, we will find critical points of our given function by equating derivative of our given function to 0.

Let us find derivative of our given function.

f'(x)=\frac{d}{dx}(x^3)-\frac{d}{dx}(3x)+\frac{d}{dx}(4)

f'(x)=3x^{3-1}-3+0

f'(x)=3x^{2}-3

Let us equate derivative with 0 as find critical points as:

0=3x^{2}-3

3x^{2}=3

Divide both sides by 3:

x^{2}=1

Now we will take square-root of both sides as:

\sqrt{x^{2}}=\pm\sqrt{1}

x=\pm 1

x=-1,1

We know that these critical points will divide number line into three intervals. One from negative infinity to -1, 2nd -1 to 1 and 3rd 1 to positive infinity.

Now we will check one number from each interval. If derivative of the point is greater than 0, then function is increasing, if derivative of the point is less than 0, then function is decreasing.

We will check -2 from our 1st interval.

f'(-2)=3(-2)^{2}-3=3(4)-3=12-3=9

Since 9 is greater than 0, therefore, function is increasing on interval (-\infty, -1) \text{ or } x.

Now we will check 0 for 2nd interval.

f'(0)=3(0)^{2}-3=0-3=-3

Since -3 is less than 0, therefore, function is decreasing on interval (-1,1) \text{ or } -1.

We will check 2 from our 3rd interval.

f'(2)=3(2)^{2}-3=3(4)-3=12-3=9

Since 9 is greater than 0, therefore, function is increasing on interval (1,\infty) \text{ or } x>1.

6 0
3 years ago
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