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scZoUnD [109]
3 years ago
10

What is an irrational number between 7.7 and 7.9 explain why it is irrational. And include the decimal approximation of the irra

tional number to the nearest hundredth . HELP PLEASE!!
Mathematics
2 answers:
MissTica3 years ago
5 0
NightowlIt can be proven that between any two real numbers there exists a rational number. Therefore there exists a rational number r such that
<span>7.7+<span>2–√</span><r<7.9+<span>2–√</span></span>By calculator we can find a rational number r that satisfies these condition, I choose 9.2. Now subtract square root 2.<span>7.7<9.2−<span>2–√</span><7.9

</span>so the answer is between 7.7 and 7.9
rational  number : 7.8
<span>irrational number :  9.2 - √2</span>
KonstantinChe [14]3 years ago
5 0
1st- An irrational number is a non terminating decimal and a non repeating decimal also: Examples:
a) 10.5494737891157.... is an irrational number (decimal will continue for ever
b) 15.1231231213123123123.....(Not irrational because decimal are repeating for ever
c) 121.1201200120001200001... (Rational because decimal go foe ever and they are not being repeated.
Now we have to find an irrational number between 7.7 and 7.9 (obviously there are an infinity of such numbers: So

7.7<x<7.9.Take any number between 7.7 and 7.9, say 7.8 and add to its decimal whatever number of digits you may choose. But to be on the safe side I would advise the following (non repeated) number:
7.810 100 1000 10000 10000.....
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Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
ella [17]

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest

4 0
3 years ago
Match the phenomenal expression on the left with the simplified version on the right
nalin [4]

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2

We get,

\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2(y+5)^2=y^2+10y+25

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

(a+b)(a-b)=a^2-b^2

We get,

\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2(y-5)(y+5)=y^2-25^{}

8 0
1 year ago
PLEASE HELP Find the value of x.<br> X<br> 15<br> 12
zlopas [31]

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

8 0
2 years ago
UNIT 8
DochEvi [55]

For the first figure the Circumference of the circle is: 5.3\ip\pi cm.

For the second figure the Circumference of the circle is: 80\ip\pi inch.

<h3>What is Circumference of the Circle?</h3>

The circumference of a circle is defined as the linear distance around it.

i.e.,  C= 2 *\pi*r

  • For First Figure,

Circumference of the circle:

= 2 *\pi*r

= 2 *\pi* \frac{5.3}{2}

= 2 *\pi*2.65

Circumference= 5.3*\pi cm

  • For the second Figure,

Circumference = 2 *\pi*r

= 2 *\pi*40

 = 80 *\pi

Circumference =80\pi \;inch

For the first figure the Circumference of the circle is: 5.3\ip\pi cm.

For the second figure the Circumference of the circle is: 80\ip\pi inch.

Learn more about circumference of circle here:

brainly.com/question/23239017

#SPJ1

4 0
2 years ago
22/12 divided by 88/6
aivan3 [116]
.00347222222 . Go Brainly!

3 0
3 years ago
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