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3 years ago

I need Help ! I don't understand this question

Mathematics

2 answers:

astra-53 [7]3 years ago

7 0

Rate of change = difference in y values / corresponding difference in x values

For the first function it is (7-6) / (3 - 0) = 1/3

For the second function its the slope of the line rise / run = 2/6 = 1/3

So they are the same
Option C

VLD [36.1K]3 years ago

4 0

They both have the same rate f change

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Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

On comparing both sides, we get

$\dfrac{4+a}{2}=\dfrac{-1}{2}$

$4+a=-1$

$a=-1-4$

$a=-5$

And,

$\dfrac{5+b}{2}=\dfrac{3}{2}$

$5+b=3$

$b=3-5$

$b=-2$

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0

3 years ago

1.5( x + 4) -3 = 4.5 ( x - 2 )

Hitman42 [59]

Answer:

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

1.5x + 6 - 3 = 4.5x - 9

1.5x + 3 = 4.5x - 9

3 + 9 = 4.5x - 1.5x

12 = 3x

12/3 = x

4 = x <======

6 0

3 years ago

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre

Varvara68 [4.7K]

Answer:

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

Solution:

Given that current population of city is 27900.

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

$=x-\frac{38}{100} \times x$

$=\frac{100 x-38 x}{100}$

$=\frac{62 x}{100}=\frac{31 x}{50}$

So current population is $\frac{31 x}{50}$

Equating above expression to the given value of current population, we get

$\frac{31 x}{50}=27900$

$x=\frac{27900 \times 50}{31}$

x=45000

Hence previous population of city was 45000.

7 0

3 years ago

27-(63-8)and(72-63)-8 is it equivalent or not and why

ZanzabumX [31]

They are not equivalent because 27-(63-8) is equal to -28 and (72-63)-8 is equal to 1.

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3 years ago

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Discuss why Operations Research (Decision Sciences, Quantitative Analysis, etc.) is an important area of study for future manage

harina [27]

Answer and Explanation :

Operations Research can be portrayed as a logical way to deal with taking care of issues; it speaks to the basic components of the issue into a model, which is then taken a shot at to yield an ideal solution for implementations.

It utilizes measurable examination and scientific demonstrating to tackle a wide scope of business issues, just as improve basic leadership. All of which make it a significant region of concentrate for future directors.

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3 years ago