1x + 4y = 11 ⇒ 5x + 20y = 55
5x - 7y = -10 ⇒ 5x - 7y = -10
 27y = 65
 27 27
 y = 2¹¹/₂₇
 x + 4(2¹¹/₂₇) = 11
 x + 8²²/₂₇ = 11
 - 8²²/₂₇ - 8²²/₂₇
 x = 2⁵/₂₇
 (x, y) = (2⁵/₂₇, 2¹¹/₂₇)

3 0

2 years ago

Find the distance between the two numbers on a number line. Write your answer as a mixed number.

solong [7]

Answer:

We conclude that the distance between the two numbers on a number line will be: 322

Step-by-step explanation:

Given the numbers

-212

-534

There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.

But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.

Distance between the numbers:

$\left|-212-\left(-534\right)\right|$

Apply rule: -(-a) = a

$=\left|-212+534\right|$

$=\left|322\right|$

Apply absolute rule: $\left|a\right|=a,\:a\ge 0$

$=322$

Therefore, we conclude that the distance between the two numbers on a number line will be: 322

4 0

2 years ago