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3 years ago

Will the difference of two rational numbers be always rational

1 answer:

7 0

Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0

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The pair of points lies on the same line with the given slope find x (4,10) , (x,19) slope =3

gladu [14]

The slope of a line is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

Plugging the values of the problem we have:

$3=\frac{19-10}{x-4}$

Solving for x we have:

$\begin{gathered} 3=\frac{19-10}{x-4} \\ 3=\frac{9}{x-4} \\ 3(x-4)=9 \\ x-4=\frac{9}{3} \\ x-4=3 \\ x=3+4 \\ x=7 \end{gathered}$

Therefore, x=7.

5 0

1 year ago

NEED HELP PLEASE SOLVE. due in 20 mins!

3241004551 [841]

Ok, so I’m pretty sure that would be a little less than 7 minutes because if 5 min is -150 degrees then 1 min is around 25 degrees. So around 7 min would be the answer.

4 0

3 years ago

The Picture has the question

galben [10]

Answer:

Pythagorean Theorem:

a² + b² = c²

x² + 5x² = 78²

6x² = 6084

6x²/6 = 6084/6

x²=1014

√x² = √1014

x = 31.84

Mark Brainliest Please

4 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 10a - 25 + 5b

Liono4ka [1.6K]

Answer:Move −25-25.

10a+5b−25

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please give a step-by-step solution of 2x^2 +12x = 6 (by completing the square)

sp2606 [1]

Answer:

x = - 3 ± 2 $\sqrt{3}$

Step-by-step explanation:

Given

2x² + 12x = 6 ( divide through by 2 )

x² + 6x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 3 + 9

(x + 3)² = 12 ( take the square root of both sides )

x + 3 = ± $\sqrt{12}$ = ± 2 $\sqrt{3}$ ( subtract 3 from both sides )

x = - 3 ± 2 $\sqrt{3}$ ← exact solutions

6 0

3 years ago