Please help me solve this!​

Given:

The sum of irrational number in the options.

To find:

The option that shows the sum of two irrational numbers can be irrational.

Solution:

In option A,

[tex](5+\pi)+(3-\pi)=5+\pi+3-\pi[/tex]

[tex](5+\pi)+(3-\pi)=5+3[/tex]

[tex](5+\pi)+(3-\pi)=8[/tex]

We know that 8 is a rational number. So, option A is incorrect.

In option B,

[tex]\sqrt{3}+\sqrt{5}[/tex]

Here both numbers are irrational and it cannot be simplified further.

So, [tex]\sqrt{3}+\sqrt{5}[/tex] is an irrational number and option B is correct.

In option C,

[tex](3+\sqrt{5})+(3-\sqrt{5})=3+\sqrt{5}+3-\sqrt{5}[/tex]

[tex](3+\sqrt{5})+(3-\sqrt{5})=3+3[/tex]

[tex](3+\sqrt{5})+(3-\sqrt{5})=6[/tex]

We know that 6 is a rational number. So, option C is incorrect.

In option D,

[tex](\dfrac{\pi}{3})+(-\dfrac{\pi}{3})=\dfrac{\pi}{3}-\dfrac{\pi}{3}[/tex]

[tex](\dfrac{\pi}{3})+(-\dfrac{\pi}{3})=0[/tex]

We know that 0 is a rational number. So, option D is incorrect.

Therefore, the correct option is B.

Answer:

y=31x/15 < y=27x/13 < y=15x/7 < y=13x/6 < y=11x/5 < y=21x/9 (=7x/3) < y=19x/8

Step-by-step explanation:

since all equations base on a linear, simple expression of x, we can simply compare the fractions.

in general, the bigger the number at the bottom, the smaller the individual fraction. that is our first indicator.

we then notice that many fractions represent the value of 2 plus one fraction.

31/15 = 2 1/15

27/13 = 2 1/13

15/7 = 2 1/7

13/6 = 2 1/6

11/5 = 2 1/5

the only exceptions are 21/9 and 19/8

but 21/9 is actually 7/3 = 2 1/3

and fits therefore into the list above.

that leaves 19/8 = 2 3/8.

the list above can be sorted based on the single fraction at the end (remember, the bigger the number at the bottom, the smaller the value). so, from least to greatest :

2 1/15 (31/15)

2 1/13 (27/13)

2 1/7 (15/7)

2 1/6 (13/6)

2 1/5 (11/5)

2 1/3 (7/3 = 21/9)

where did now 2 3/8 fit in ?

well, 3/8 is almost 1/2 (so, relatively big), and we start our comparison with the biggest number in the list so far :

1/3 (from 2 1/3).

what is bigger - 1/3 or 3/8 ?

let's find the smallest number that can be divided by 3 and by 8. that would be 24. so now we bring both fractions to the same base of 24.

1/3 = 8/24

3/8 = 9/24

=> 3/8 > 1/3

and therefore, 19/8 is the largest value and at the end of the list.

Answer:

zero

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

y - ( - 9) = 8

y + 9 = 8

y = 8 - 9

y = -1

- ( - turns to + because you are subtracting a negative number

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

y - (-9) = 8

Step 2: Solve for y

Answer:

The correct answer us 9/15<4/4

Can I please have a brainliest? I want to rank up :)

Answer:

.82

Step-by-step explanation:

45.75 x .018=.82

Answer:

P(48<x<52) = 0.2881

Step-by-step explanation:

P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881

Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.

Answer:

both of those lines intersect each other and are equal lines

Step-by-step explanation:

Answer:

It's 6 - (-6)

Step-by-step explanation:

Two negatives make a positive so instead of subtracting you're now adding.

Answer:

(-3,-4)

Step-by-step explanation:

The vertex is the minimum or maximum or a parabola.

This is an upward opening parabola, so it has a minimum.

The minimum is (-3,-4)

Answer:

1/8

1/2

3/8

3/8

1

3/8

Answer:

14 by 32.5

Step-by-step explanation:

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]

Step-by-step explanation:

x⁰yz-³

[tex] \small \sf \: 1yz {}^{ - 3} [/tex]

1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]

[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]

Answer:

A. 55°

Step-by-step explanation:

So the line goes through two angles, 125° and 55°

Lets check, does the angle look larger than 90°

Remember, 90° mean the line is perpendicular, or goes straight up.

I see that it is not. The angle that is less than 90° (55°) is correct.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

(w−12)(w+2)

Step-by-step explanation:

Step-by-step explanation:

w²-10w-24

(w²-12w)+(2w-24)

w(w-12)+2(w-12)

(w-12)(w+2)

Answer:

B) Adjacent

Step-by-step explanation:

The hypotenuse will ALWAYS be designated as the longest side in a right triangle.

Pretend that the angle (the one with the round line) is an eyeball that is looking outwards. The eye is looking out at side BC. That means that line BC is opposite of the angle.

This leaves one side left: the adjacent side. The adjacent side is the side next to the angle. But it is the side that is NOT the hypotenuse.

Answer:

yes

the sum of the squares of the width and length is equal to the square of the diagonal

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

24^2 + 70^ = 576 + 4900 = 5476

square root = 74

Answer: 20

Step-by-step explanation:

First is 6 x 3 which is 18 then take away 5 so it would be 13 and + 21/3 is basically a seven so its 20

Answer:

10 blocks.

Step-by-step explanation:

Find the unit rate.

[tex]\frac{28}{4}=\frac{7}{1}=\frac{70}{10}[/tex]

Therefore, 10 blocks weigh 70 ounces.

Answer:

my answer is in this picture

Answer:

y = 2

Step-by-step explanation:

6y - 2(y + 1) = 3(y - 2) + 6

6y - 2y - 2 = 3y - 6 + 6

6y - 2y - 2 = 3y

4y - 2 = 3y

4y - 2 + 2 = 3y + 2

4y = 3y + 2

4y - 3y = 3y - 3y + 2

y = 2

Answer:

-25

Step-by-step explanation:

Let h = -3.

[tex](8(-3)-1)-(-3+3)\\(-24-1)-(-3+3)\\-25-0\\-25[/tex]

Answer:

The domain includes all real numbers, and the range is y > 0.

Step-by-step explanation:

It is represented by [x] read as step 'x'

It is defined for all x

∴ domain=(−∞,∞)

The range is y > 0.

Answer:

82cm

Step-by-step explanation:

26+26+15+15=82

Answer:

5

Step-by-step explanation:

6x + 4 + 73 + 73 = 180

6x + 150 = 180

6x = 30

x = 5

Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.

Triangle Sum Theory states all angles of a triangle add to 180.