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1 year ago

Which Venn diagram shows the correct relationship among different set of numbers and correct numbers placement of -648

Mathematics

1 answer:

MA_775_DIABLO [31]1 year ago

5 0

Answer:

Explanation:

The whole numbers are the numbers that we use to count like 1, 2, 3, ...

Then, integer numbers are the set that contains the whole numbers and the negative numbers, so the integer number are like ... -3, -2, -1, 0, 1, 2, 3, ...

Therefore, -648 is an integer number.

Finally, the rational numbers are numbers that can be written as a/b, where a and b are integers.

So, the answer is A because rational numbers contain integer numbers, integer numbers contain whole numbers and -648 is a integer number.

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What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)lef

Elena L [17]

Given Information:

Point 1 = (8, −3)

Point 2 = (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

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

Substitute the given coordinates into above equation

$d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657$

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

7 0

3 years ago

Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.

yuradex [85]

Hello from MrBillDoesMath!

Answer: The relationship is linear. The equation is y = 2x + 19

Discussion:

When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....

So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,

(change in y) / (change in x) = 4/2 = 2 = slope of line.

so y = 2x + b. As the line passes through the point ( -7, 5)

5 = 2 (-7) + b or

5 = -14 + b or ( adding 14 to both sides)

5 + 14 = 19 = b.

Hence the equitation the line is y = 2x + 19

Thank you,

MrB

6 0

3 years ago

What is the value of 4 x minus 7 when x = 4?191623

katen-ka-za [31]

Solution:

Given:

$4x-7$

when x = 4,

$\begin{gathered} Substitute\text{ }x=4\text{ into }4x-7 \\ 4x-7=4(4)-7 \\ =16-7 \\ =9 \end{gathered}$

The answer is 9.

7 0

1 year ago

NEED HELP ASAP!!!

azamat

The answer is B f(x)= -3(x+1)^2+2

6 0

3 years ago

What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 2.76 x 10 pw12

MrRa [10]

We know that
area of a rectangle=length*width
length=area/width
area=2.76 x 10^12 units²<span>
width=4.6 x 10</span><span>^5 units
</span>length=2.76 x 10^12/4.6 x 10^5 ------> 6 x 10^6 units

perimeter of a rectangle=2*[length+width]
width=4.6 x 10^5 units----> is equal to 0.46 x 10^6 units
length=6 x 10^6 units

perimeter of a rectangle=2*[6x10^6+0.46x10^6]----> 12.92 x 10^6 units

the answer is
12.92 x 10^6 units

5 0

3 years ago