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3 years ago

Find the coordinates of the midpoint of each segment with the given endpoints.

Mathematics

2 answers:

alexgriva [62]3 years ago

5 0

Answer:

This would be (5.5,0)

Step-by-step explanation:

Hope it helped!

sesenic [268]3 years ago

3 0

The midpoint of those two would be (5.5, 0).

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Triss [41]

Answer:

y = x^2 - 4x - 5

y = (x + 1)(x - 5)

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3 years ago

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Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

Sergeu [11.5K]

Hello!

First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.

$\frac{-3-11}{1+3} = -\frac{14}{4} = \frac{7}{2}$

The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).

11=3.5(-3)+b
11=10.5+b
b=0.5

Our final equation is shown below.

y=3.5x+0.5

I hope this helps!

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3 years ago

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What is the reason why the earth rotates

qaws [65]

The reason so many objects orbit the Sun in nearly the same plane (called the ecliptic) and in the same direction is that they all formed from this same disk.
While the planets were forming, there was not much peace in our solar system. Clumps of matter of all sizes often collided, and either stuck together or side-swiped each other, knocking off pieces and sending each other spinning. Sometimes the gravity of big objects would capture smaller ones in orbit. This could be one way the planets acquired their moons.

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3 years ago

You invest $500 in an account with an annual interest rate of 1.1%, compounded continuously. How much money is in the account af

11111nata11111 [884]

The formula is
A=p e^rt
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3 years ago

A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The ta

lukranit [14]

The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;

Part A:

Yes there is a strong positive correlation

Part B:

The function is y = 5•x + 2

Part C:

The slope indicates the number of units produced by each worker daily

The y-intercept indicates that two units can be produced without workers.

<h3>How can the existence of a correlation and the best fit function for the data be found?</h3>

Part A:

The correlation is the relationship between variables based on statistical data.

From the given table, the difference between consecutive terms of the x and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.

Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10

Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50

Therefore;

There is a strong positive correlation between the number of workers, x, and the number of units produced, y.

Part B:

Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the x and y-values is a linear function, which can be found as follows;

Slope of the equation, m = ∆y/∆x

Which gives;

m = 50/10 = 5

y - 2 = 5•(x - 0)

The function that best fits the data is therefore;

y = 5•x + 2

Part C:

The slope of the function is the coefficient of the variable x in the equation, y = m•x + c

The slope of the plot, 5, indicates that each worker produces 5 units daily

The y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c

The y-intercept of the linear equation, y = 5•x + 2, which is 2, indicates that the initial number of units of products at the factory before workers arrive is 2.

Learn more about finding relationship between variables here:

brainly.com/question/4219149

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1 year ago