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PtichkaEL [24]
1 year ago
5

What is the distance between (-2, 4) and (5, 4) on a coordinate grid?

Mathematics
1 answer:
Allisa [31]1 year ago
4 0

Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

a^2 + b^2 = c^2

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

c = \sqrt{a^2 + b^2}

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) x_1 = -2, y_1 = 4

(5,4)x_2 = 5, y_2 = 4

plug these values in:

d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 }  = \sqrt{7^2 } = 7

Therefore the distance is 7 units.

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Answer:

10,93,500.

Step-by-step explanation:

On first February total number of rabbits were 500.

Now it is given that after each month rabbit population will become triple of initial.

So, after one month rabbits will become 3×500.

After two months they will become 3^{2}×500.

Thus , after m months total number of rabbits will become 3^{m}×500.

Now,

On August 1 , 7 months will get passed from February 1 so putting m = 7 in the equation we get ,

Total number of rabbits = 3^{7}×500 = 10,93,500.

8 0
3 years ago
What is the solution to the following system?
Hunter-Best [27]

I am not 100% sure but I am pretty sure the answer is (3,-1,4)

4 0
3 years ago
The width of a soccer field should be 60% of its length. Write and simplify an expression for the perimeter of a soccer field wi
iogann1982 [59]

Answer:

here you go

Step-by-step explanation:

W = (0.6) L

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       P = 2  ( 1.6 L  )

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4 0
3 years ago
A Starbucks coffee shop serves an average of 3500 customers per day, with a standard deviation of 250. What is the probability t
castortr0y [4]

Answer:

P(3300  

And we can find this probability with this difference:  

P(-0.8  

Step-by-step explanation:

Previous concepts  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem  

Let X the random variable that represent the amount of cofee shops of a population, and for this case we know the distribution for X is given by:  

X \sim N(3500,250)  

Where \mu=3500 and \sigma=250  

We are interested on this probability  

P(3300  

And the best way to solve this problem is using the normal standard distribution and the z score given by:  

z=\frac{x-\mu}{\sigma}  

If we apply this formula to our probability we got this:  

P(3300  

And we can find this probability with this difference:  

P(-0.8  

6 0
3 years ago
Read 2 more answers
What's the Y-intercept and the slope of the following equation x–5=y
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Answer:

slope is 1 and y-intercept is (0,-5)

Step-by-step explanation:

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