Geometry please help thanks in advance

Answer:

For the value of hypotenuse can be irrational, sum of squares of other two legs might be imperfect square number.

Step-by-step explanation:

We all know, the Pythagorean theorem can be stated as follows:

The sum of squares of two legs of a right angled triangle is equal to the square of the hypotenuse.

i.e.

[tex]a^2+b^2=c^2[/tex]

Where, [tex]c[/tex] is the hypotenuse and [tex]a, b[/tex] are the two other legs of the right angled triangle.

Given that:

[tex]a[/tex] and [tex]b[/tex] are rational numbers.

To find:

Situation for which [tex]c[/tex] is irrational.

Square of a rational number is always rational.

So, [tex]a^{2} , b^{2}[/tex] both will be rational.

And sum of squares of two rational numbers will also be rational.

Therefore, [tex]a^2+b^2[/tex] will also be rational.

and

[tex]c = \sqrt{a^2+b^2}[/tex]

For the value of [tex]c[/tex] can be irrational, sum of squares of other two legs might be imperfect square number.

Answer:

13 Cartoons

Step-by-step explanation:

As, in 1 cartoon = 12 eggs

x cartoon = 156

X = 156 / 12

X = 13

Therefore, 13 Cartoons were used after 10:30 am

Answer: d

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

y=x so y=3x

Answer:

the awnser is B-3,3 i took the test and got it right

Answer:

A,B

Step-by-step explanation:

Answer:

Linear. y = x also equals y = 1x, and you can put a line on a graph using this equation, hence the name linear.

Answer:

it would be (3,7)

Step-by-step explanation:

I hope this helps

Answer:

87 is the number

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

231-23=208

208÷4=52

Answer:

52

Step-by-step explanation:

Answer:

.07 cents

Step-by-step explanation:

In order to solve this question all you need to do is divide the money spent by the amount of months. 45.50/612=0.0743464052 but since you cant spend .0043464052 of a cent we have to change the answer to .07. To check our answer is right all we need to do is multiply 0.0743464052 by 612=45.499999 so we know the answer is correct.

9514 1404 393

Answer:

  n = 5/3

Step-by-step explanation:

Eliminate fractions, add 4, divide by the coefficient of n.

  [tex]\dfrac{3}{5} n-\dfrac{4}{5}=\dfrac{1}{5}\\\\3n-4=1 \qquad\text{multiply by 5}\\\\3n=5 \qquad\text{add4}\\\\\boxed{n=\dfrac{5}{3}} \qquad\text{divide by 3}[/tex]

Answer:

y = -1/2x + 1/2

Step-by-step explanation:

perpendicular lines have slopes that are opposite signs and reciprocal

therefore, use m=-1/2 and point (9, -4) to complete the equation by finding 'b' (the y-intercept)

-4 = -1/2(9) + b

-4 = -9/2 + b

-4 + 9/2 = b

-4 + 4 [tex]\frac{1}{2}[/tex] = b

b =  [tex]\frac{1}{2}[/tex]

Answer:

140,000

Step-by-step explanation:

Answer: 69364.41

Step-by-step explanation:

6000(1 + 0.00825)^308= 75364.409332

75364.409332- 6000= 69364.409332

Answer:

y=3x+4

Step-by-step explanation:

y=mx+b where m is the slope and b is y-intercept

y= (3/1)x+4

Answer:

The solution of the system of the equations is (2, 1) ⇒ B

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + 2y = 8 ⇒ (1)

∵ 5x + 2y = 12 ⇒ (2)

→ Subtract equation (1) from equation (2)

∴ (5x - 3x) + (2y - 2y) = (12 - 8)

∴ 2x + 0 = 4

∴ 2x = 4

→ Divide both sides by 2

∴ x = 2

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(2) + 2y = 8

∴ 6 + 2y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + 2y = 8 - 6

∴ 2y = 2

→ Divide both sides by 2 to find y

∴ y = 1

∴ The solution of the system of the equations is (2, 1)

Answer:

(-6)(-7)

Step-by-step explanation:

Answer:

Its A k = -18

Step-by-step explanation:

Because since angle 1 and 8 are the same your equation is 3k-7 = 5k+29. and then you solve and get k = -18.

Answer:

a=5

Step-by-step explanation:

4a−3−2a=2a+7−2a

2a−3=7

2a−3+3=7+3

2a=10

2a /2 = 10 /2

a=5

Answer: -20n^2 - 39n - 15

Step-by-step explanation:

first, we remove the parenthesis (multiply everything out).

-20n^2 - 24n - 15 - 15n

then, we simply collect like terms.

-20n^2 - 39n - 15

Answer:

-20n^2-39n-15

Step-by-step explanation:

Given: -4n(5n+6)-5(3+3n)

Use the distributive property: -20n^2-24n-15-15n

Combine like terms: -20n^2-39n-15

Your simplified expression is -20n^2-39n-15

Answer:

f(5) = 17

Step-by-step explanation:

f(x) = 3x+2

f(5) means let x =5

f(5) = 3*5+2

     = 15+2

    = 17

Answer:

i am bored in a house thats the only thing i could say

Step-by-step explanation:

Answer:

The big pump moves 22 more gallons in 10mins

Step-by-step explanation:

The total the big pump moves is 30 gallons in 10mins because 3x10 = 30

The small pump moves 8 gallons in 10mins becuase 4x2= 8

Its asking for how many more so 30 - 8 = 22 More gallons

x^3+x^2-12x-33/x+4

/ = seperator of numerator and denominator

Answer:here is the answer, I hope it helps you

Step-by-step explanation:

Answer:

B. 1/9 cuz it's just saying y is 1/9 of x

Answer:

$15

Step-by-step explanation:

9/3=3 5*3=15

Answer:

false

Step-by-step explanation:

no solution

I did it on a graph and I think its true?

Answer:

The solution set is {-1, 7}.

Step-by-step explanation:

X^2-6X=7​

X^2 - 6X - 7​ = 0

(X - 7)(X + 1) = 0

X = 7, -1.

Answer:

y is 8

Step-by-step explanation:

since this is a 30 60 90 triangle side a is x sqrt3 side b (which is y) is x and side c is 2x. since side c is 16 you divide by two or 16/2x and find x which 8 and since x is 8 and c is two times side b ur answer is 8 my friend