Help with this question! It’s for math

[tex] \huge \frak \green{question}[/tex]

prove that √p is an irrational number , if p is not a perfect square.

[tex] \huge \frak \red{answer}[/tex]

Let us assume, to the contrary, that √p is rational. So, we can find coprime integers a and b(b ≠ 0) such that :-

=> √p = a/b

=> √p b = a

=> pb² = a² ….(i) [Squaring both the sides]

=> a² is divisible by p

=> a is divisible by p So, we can write a = pc for some integer c.

Therefore,

a² = p²c² ….[Squaring both the sides]

=> pb² = p²c² ….[From (i)]

=> b² = pc²

=> b² is divisible by p

=> b is divisible by p

=> p divides both a and b.

=> a and b have at least p as a common factor.

But this contradicts the fact that a and b are coprime. This contradiction arises because we have assumed that √p is rational. Therefore, √p is irrational.

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[tex] \bold \green{i \: hope \: it \: is \: helpful}[/tex]

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Answer:

circles are measur by 360°.

circles are similar triangle.

circles are two radis.

circles are one diameter.

Answer:

1,3,4

Step-by-step explanation:

Answer:

Constant of variation: $8.25

Equation: y=8.25x

Step-by-step explanation:

231/28=8.25

Answer:8.25

Step-by-step explanation:

231/28

Answer:

the height is 9.8 cm

Step-by-step explanation:

71.54 ÷ 7.3 = 9.8

0.3 so yea i guess....

Answer:

Step-by-step explanation: 380

Answer:

1. True

2. 40.96

Step-by-step explanation:

Can provide if needed

Answer:

Question 4:True

Question 5: 40.96

Step-by-step explanation:

Question 4: 7.4 times 5.2 dived by 2.

Question 5: 6.4 x 6.4.

Please give me Brainliest (:.

Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

 d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle  using the formula

   2 ( length + width)

 = 2 (12 + 2 )

           = 2 ( 14 )

           = 28 feet

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

Given:

Arc length = 6.6 cm

Radius = 14 cm

To find:

The angle subtended by the arc at the center.

Solution:

The formula for arc length is:

[tex]s=2\pi r\dfrac{\theta}{360}[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.

Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get

[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]

[tex]6.6=88\times \dfrac{\theta}{360}[/tex]

[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]

[tex]27^\circ=\theta[/tex]

Therefore, the measure of the central angle is [tex]27^\circ[/tex].

Answer:

-12

Step-by-step explanation:

the opposite of 12 is -12

Answer:

yes

Step-by-step explanation:

–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.

Answer:

x=−7

Solving for X:

Step 1: Simplify both sides of your equation.

5x−22=7x−8

Step 2: Subtract 7x from both sides.

5x−22−7x=7x−8−7x

−2x−22=−8

Step 3: Add 22 to both sides.

−2x−22+22=−8+22

−2x=14

Step 4: Divide both sides by -2.

-2x/-2 = 14/-2

^ x = -7

THEREFORE:

x is −7

Answer:

Hello there! I would say the answer is C,

Step-by-step explanation:

I hope this helps!!!

Answer:

45 degrees

Step-by-step explanation:

since a triangle has angle that add up to 180.Take 50 add with 40 and then divide by 2

Answer:

36

Step-by-step explanation:

Length x width = area (6 x 6 = 36). Hope this helps.

Answer:

the correct answer is 7

Step-by-step explanation:

-5-(-7) = -5 +

two minus is plus so it is

-5 + 7

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

3x+3/2=x/2-6

=6x+3/2=x-12/2

=2x-24=12x+6

=2x-12x=6+24

= -10x=30

= -3

Answer:

34.75 i think

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]

Step-by-step explanation:

Let's set up a proportion to solve. Use the following setup:

[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]

We know that it takes Oliver 4 hours to drive 278 miles.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]

We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]

[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]

We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.

[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]

[tex]139*\frac {4 }{278 }={x }[/tex]

[tex]2=x[/tex]

It takes Oliver 2 hours to drive 139 miles.

Answer:

Fred's total net worth is $61,900

Step-by-step explanation:

For net worth, add assets together and then subtract the liabilities from the total:

90,000 + 12,500 + 20,200

122,700 - (53,000 + 5,800 + 2,000)

61,900

Answer:

$61,900

Explanation:

Add all the assets: 90000 + 12500 + 20200 = 122700

Add all the liabilities: 53000 + 5800 + 2000 = 60800

Total assets - liabilities: 122700 - 60800 = $61900

Answer:

9

Step-by-step explanation:

first find the square's area by multiplying 12 × 12 to get 144

then divide 144 ÷ 16 to find the width which is 9

Answer:

C or 3rd option

Step-by-step explanation:

1/3 - 2/5

15/15 - 6/15

9/15

B is not correct

2/5 - 1/3

this will be a negative answer

Hello! :)

1.-4(x+3)=8

-4(x+3)=8

(x+3)= -2

x=(-5)

☆GOOD LUCK!☆  

Answer:

6

Step-by-step explanation:

f(s) = x^2 - 3

f(-3) = 6

f(0) = -3

f(1) = -2

f(2) = 1