You and your friend are standing back-to-back. Your friend runs 10 feet forward and then 8 feet right. At the same time, you run 11 feet forward and then 12 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?

Answer:

-2

Step-by-step explanation:

Note that slope-intercept form looks like: y = mx + b

In this case, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides:

2x (-2x) + y = 6 (-2x)

y = -2x + 6

Note in the slope-intercept form: y = mx + b

y = y

m = slope

x = x

b = y-intercept

In this case, your slope is -2. All lines parallel to the given equation will also have a slope of-2.

~

At first, there are more lynx than rabbits. This is shown by the fact the orange curve is above the blue curve. Because there are more predators than prey, some predators will unfortunately go without food and starve (this assumes that rabbits are the lynx only food source). This die-off explains why the orange curve goes down or decreases.

As the predators die off, the prey has time to flourish. The rabbit population grows or increases. Note the blue curve going uphill as the orange curve goes downhill. The blue curve hits a peak point and it then goes down. This is due to the lynx population rebounding. There's more food for the lynx and the lynx population will increase. The lynx then eat the rabbits to bring the hare population down.

In short, as one population increases, the other decreases, and vice versa. This back and forth cycles indefinitely. This keeps things in balance so one population doesn't overwhelm a location. Keep in mind that I'm only focused on these two populations and no other animal species. Also, I'm not considering any other factors such as habitat loss. So this is a very simplistic view of what's going on in nature. It's considered a predator-prey model to give biologists a rough sense of what's going on.

The chart shows that we do have a cyclic up and down pattern for each population. For the most part, the peak rabbit populations seem to coincide with the lynx population increasing. Also, when the rabbit population is at its lowest, the lynx population is on the decline. Furthermore, when the lynx population is at its peak, the hare population is on the decline. The lynx population being at its lowest seems to coincide with the hare population increasing.

The exceptions to this general rule seem to be at around 1885, 1895, and 1905. During these time frames, it appears that the two populations are in lockstep together. In other words, they seem rise and fall at the same time.  What could explain this is something like habitat loss that I mentioned earlier. Habitat loss would explain why a population decreases. Also, people hunting either animal would explain the population decrease if the hunting is intense enough. If the population gets too low, then governments may step in to enact endangered species laws to protect the animals so that the population could rebound again.

Answer:  x equals 12

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

Typically in a line the y intercept is the point where your graph crosses the y-axis, and the x value is 0 so (0,b) is the y-intercept where y-intercept is b

The slope can be found by finding the rate of change, so the change in y / the change in x

You can also calculate the slope with 2 points so (x1, y1) (x2, y2)

you take the y values and subtract them, then divide by the x values like this:

y2 - y1 / x2 - x1

If a line is going up to the right in Quadrant I then the slope is positive, if the slope of the line goes down in Quadrant IV  then the line slope is negative

Slopes of horizontal lines are zero, the slope of a vertical line is undefined

We use the letter m to stand for the slope

Answer:

BC ≈ 14.7 m

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{AB}{sinC}[/tex] = [tex]\frac{BC}{sinA}[/tex]

To find ∠ A subtract the 2 given angles from 180°

∠ A = 180° - (90 + 28)° = 180° - 118° = 62°

Then

[tex]\frac{7.8}{sin28}[/tex] = [tex]\frac{BC}{sin62}[/tex] ( cross- multiply )

BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )

BC = [tex]\frac{7.8sin62}{sin28}[/tex] ≈ 14.7 m ( to 3 significant figures )

9514 1404 393

Answer:

  x° = 42°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the useful relation ...

  Cos = Adjacent/Hypotenuse

  cos(x°) = 4.0/5.4

  x° = arccos(4.0/5.4) ≈ 42.21°

The value of x is about 42.

Answer:

negatively, the more the ice melts the high the sea level rises.

Step-by-step explanation:

from 2010 to 2011 the average ice mass decreased by 463 gigatons

Answer:

sure .

Step-by-step explanation:

I answer and then give me brainliest. sorry I am being rude

:/

Answer:

300 naira

Step-by-step explanation:

Steps to answer this question

cost per cm = 180 /30 = 6 naira

cost of the other edge = 6 naira x 50 = 300 naira

Answer:

6 pounds

Step-by-step explanation:

Given data

Initial weight=8 pounds

We are told that a week later the weight reduced by 25%

Let us find 25% of 8

=25/100*8

=0.25*8

=2 pounds

Hence the current weight is

=8-2

=6 pounds

The difference would be 9 squares

Answer:

George should charge 1.70$ for each frame to break-even.

Step-by-step explanation:

Variable cost for the frames:

Wood + polishing = $100 + $50 = $150

Variable cost per frame would be:

$150/ 500 = $0.30

The fixed cost of the operation is $700.

George has to make 500 frames.

Fixed cost / (Selling price per unit – variable cost per unit) = 500

$700 / (Selling price per unit - $0.30) = 500

700 = 500 (Selling price per unit – 0.30)

700 = 500 * Selling price – 500 * 0.3

700 = 500 * Selling price – 150

(700 + 150) / 500 = Selling price

850 / 500 = 1.7

Answer:

square the whole equation

Step-by-step explanation:

so, it will change from (3x + 7y)² to 9x² - 49y²

I hope this helps a little bit.

Answer:

(3x - 7y)

Step-by-step explanation:

we know that

.. (a + b) (a - b) = (a^2 - b^2)

=> (a + b) = (3x + 7y)

=>. (a^2 - b^2) = (9x^2 - 49y^2)

=> so, (a - b).= (3x - 7y)

hope it helps

Answer:

We know that the sum of all the interior angles of a triangle is always equal to 180°.

And we know that the angles are in a ratio of:

2:5:5

So if we have an angle (unknown) θ, the angles of this triangle will be written as:

2*θ

5*θ

5*θ

Now remember that the sum of the 3 angles is equal to 180°, this leads to:

2*θ + 5*θ + 5*θ = 180°

Now we can solve this for θ

(2 + 5 + 5)*θ = 180°

12*θ = 180°

θ = 180°/12 = 15°

This means that the angles of this triangle are:

2*θ = 2*15° = 30°

5*θ = 5*15° = 75°

5*θ = 5*15° = 75°

Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.

Then this is an isosceles triangle.

Answer:

A=2 b=2

Step-by-step explanation:

5a+2b=14

6a+2b=16

6a+2b-(5a+2b)=16-14

6a+2b-5a-2b=2

a=2

b=2

Answer:

40%

Step-by-step explanation:

Total no. of postcards = 40

No. of postcards from foreign countries = 16

Percentage of postcards from foreign countries = (16/40)*100

=40%

Answer:

A waxing gibbous moon is in the sky when darkness falls. It lights up the early evening. It appears more than half lighted, but less than full.

Step-by-step explanation

Answer:

y=3 x=8

Step-by-step explanation:

I THINK BUT HOPE THIS MAYBE HELPS :)

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Ratio and Percentage.

Let the total salary be x, so we get as,

20 % of x = $700

hence, x would be,

(20/100)*x = 700

===> x = 70000/20

===> x = $3500

===> hence the total earning of them is $3500

Answer:

This is your work so i cant do it but I can give you a hint divide both the numerator and deomonator to get simplified form

Step-by-step explanation:

Answer:

ericyikaimiao said she/he is right

Answer:

5 per minute

Step-by-step explanation:

Answer:

The person ate 5 pies per minute

Step-by-step explanation:

If 12 pies were eaten in 60 minutes , you must divide the denominator (60) by 1 (the per minute). Whatever you do to the bottom, you must do to the top, so 60 / 12 is 5.

Hope this helped ;)

Answer:

<PTR+<RTS=180 LINEAR PAIR

<PTR=180-20=160°

Step-by-step explanation:

IN QUADRILATERAL PQRT

<P+<Q+<R+<T=360 SUM OF INTERIOR ANGLE OF QUADRILATERAL IS 360

85+<Q+70+160=360

<Q=360-315=45°

angle PQS=45°

Answer:

y=7

Step-by-step explanation:

Answer:

B is the function.

Step-by-step explanation:

since there is one y value for every x value we know that is a function

Answer:

D, far apart from each other.

Step-by-step explanation:

The inequality that represent the heights of the mountains in the given range is h < 20,000

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given that, the heights of the mountains in a mountain range are less than 20,000 feet.

We need to write an inequality to represent the height of the mountain ranges,

Since, the height is less than 20,000,

Therefore, the inequality =

h < 20,000

Hence, the inequality that represent the heights of the mountains in the given range is h < 20,000

Learn more about inequality click;

https://brainly.com/question/30231190

#SPJ3

Answer :

no. of days used to repair 1250m of road = 5

no. of days used to repair 1m of road = 5/1250

no. of days used to repair 8000m of road (8*1000m ) = 5/1250*8000= 32 days