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3 years ago

The midpoint of is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

(2,-3)

x1+x2/2 , y1+y2/2
-6+2/2 , -2-4/2
4/2, -6/2
2,-3
The answer is therefore (2,-3)

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Please provide the answer?

Brums [2.3K]

Using the given table:

a) the average rate of change is 32.5 jobs/year.

b) the average rate of change is 12.5 jobs/year.

<h3>How to find the average rate of change?</h3>

For a function f(x), the average rate of change on an interval [a, b] is:

$\frac{f(b) - f(a)}{b - a}$

a) The average rate of change between 1997 and 1999 is:

$A = \frac{695 - 630}{1999 - 1997} = 32.5$

So the average rate of change is 32.5 jobs/year.

b) Now the interval is 1999 to 2001.

The rate this time is:

$A ' = \frac{720 - 695}{2001 - 1999} = 12.5$

So the average rate of change is 12.5 jobs/year.

If you want to learn more about average rates of change:

brainly.com/question/8728504

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3 0

2 years ago

Jenna sold 63 bracelets at one craft show and 36 and another which expression correctly applies the distributive property to sho

aev [14]

Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

63 + 36 = (3)(21) + (9)(4)

63 + 36 = (7)(9) + (12)(3)

63 + 36 = 9(7 + 4)

63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

63 = 3, 7, 9, 21,

36 = 2, 3, 4, 6, 9, 12, 18,

Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

9(7 + 4)

3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

63 + 36 = 63 + 36

3 0

3 years ago

There are no solutions to the system of inequalities shown below.

mixer [17]

Answer:

False, there are actually infinite solutions as these are parallel lines.

Step-by-step explanation:

3 0

3 years ago

Write the polynomial of least degree with roots -2, 0, 1.

joja [24]

So since -2, 0, 1 are the roots:

Therefore x = -2, x = 0 , x = 1

Implies that:

x = 2 x - 2 = 0

x = 0 x = 0

x = 1 x - 1 = 0

Therefore (x - 2)x(x - 1) = 0

(x - 2)(x - 1) = x(x - 1) - 2(x - 1) = x² - x - 2x + 2 = x² - 3x + 2

(x - 2)x(x - 1) = 0

(x - 2)(x - 1)x = 0

(x² - 3x + 2)x = 0

x*x² - x*3x + x*2 = 0

x³ - 3x² + 2x = 0

This is the polynomial with the least degree, because it possible for another polynomial with higher power to still have the same root.

x³ - 3x² + 2x = 0 is the polynomial.

I hope this helps.

6 0

4 years ago

A fish is 12 Meters below the surface of the ocean. what is it's evelation

erastovalidia [21]

A fish is 12 Meters below the surface of the ocean. What is the elevation it is -12

5 0

3 years ago