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patriot [66]
3 years ago
11

A ship left the port and sailed 40 kilometers south, then 36 kilometers north. What integer represents where the ship is located

in reference to zero (the port)?
Mathematics
2 answers:
nekit [7.7K]3 years ago
8 0
4 because if the ship went 40 kilometers south, then 36 north, it would be traveling back to its starting point, so tok would subtract 36 from 40 and get 4. Hope this helped!!
Usimov [2.4K]3 years ago
6 0

Answer:

It would be at -4 or (coordinates: 0, -4)

Step-by-step explanation:

0 - 40 = -40

-40 + 36 = -4

so -4

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What is 62/120 expressed as a percent rounded to the nearest whole number?
Afina-wow [57]

Answer:

52%

Step-by-step explanation:

62/120 * 100%

Divide by 2 on top and bottom

31/60 * 100 %

.5166666666 * 100 %

51.66666666 %

To the nearest whole number

Rounding the 1, we look at the 6   6>=5 so we round the 1 to 2

52%

6 0
3 years ago
DUE SOON PLS HELP: All of the points on the picture are on the same line. 1. Find the slope of the line. Explain your reasoning.
Dimas [21]

Answer:

Look below :)

Step-by-step explanation:

1. To find the slope of a line, we can use this expression: \frac{y2 - y1}{x2 - x1}

In order to use that expression, we need to use two points. The graph given only provides you with two complete points, so we'll use those.

(4, 4) = (x1, y1)  (12, 20) = (x2, y2)

Now we can input the values into the expression:

\frac{y2 - y1}{x2 - x1} = \frac{20 - 4}{12 - 4}

Let's solve for the slope:

20 - 4 = 16

12 - 4 = 8

\frac{16}{8}

To simplify 16/8 divide both the numerator and the denominator by 8:

16/8 = 2

8 = 1

You get 2/1 or just 2.

The slope of the line is 2.

2. To make an equation for the line, we'll use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. We already know the value of the slope is 2, so now we need to find the y-intercept. We can find the y-intercept using a given point and the slope. In this example, I'll use the point (4, 4). Let's input the values into the equation:

y = mx + b

4 = 2(4) + b

Now let's solve for b:

4 = 8 + b

Subtract 8 from both sides to isolate the b:

4 - 8 = 8 - 8 + b

-4 = b

The y-intercept of the equation is -4.

Now that we know the values for the slope and y-intercept, we can write the equation:

y = 2x - 4

3. To find the values of a and b, we can use the equation we made in the previous question.

First we'll find a:

The point we are given is (a, 16). We know the y-value is 16, so we can put that into our equation. We can also replace x with a:

y = 2x - 4

16 = 2a - 4

Now we can solve for a:

First, add 4 to both sides to isolate the 2a:

16 + 4 = 2a - 4 + 4

20 = 2a

Then divide both sides by 2 to isolate a:

20/2 = 2a/2

10 = a

The value of a is 10.

Now let's find b:

This is similar to finding a. The point we are given is (8, b). We know the value of x is 8, and we can replace y with b in the equation:

y = 2x - 4

b = 2(8) - 4

Let's solve:

b = 2(8) - 4

b = 16 - 4

b = 12

The value of b is 12.

4. Finally, to find the y- coordinate when x=0, all we have to do is input 0 in for x in the equation and then solve for y:

y = 2x - 4

y = 2(0) - 4

y = 0 - 4

y = -4

When x = 0, y = -4.

The answer for what the y-coordinate is when x = 0 will always be the value of the y-intercept.

I hope this helps!

8 0
3 years ago
Read 2 more answers
The answer choices are
Yuliya22 [10]
I believe it’s C because none of the others are even close and the 3 and 7 add up correctly
7 0
2 years ago
What is the value of the expression? 18 - 2 x (4 + 3)
Arturiano [62]

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

7 0
2 years ago
Read 2 more answers
Simplify.<br> Х+4/3x^2+7x - 20
pickupchik [31]

Answer:4/3x²+8x−20

Step-by-step explanation:Combine Like Terms:

=x+

4

3

x2+7x+−20

=(

4

3

x2)+(x+7x)+(−20)

=

4

3

x2+8x+−20

8 0
3 years ago
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