<span>Let time taken by Luke to cover the distance = x hours
Speed of Luke = 6 miles per hour
Therefore, Distance covered by Luke = 6x ------(1)
Speed of Micah = 4 miles per hour
Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
Therefore time taken by Micah to cover the distance = x+1/2
Distance covered by Micah = 4(x + 1/2) -------(2)
Equating (1) and (2)
6x = 4(x+1/2)
6x = 4x +2
2x = 2
x= 1
Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
Answer:

Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form

Generally the echelon reduction is mathematically applied as

Add -2 times the 1st row to the 2nd row

Multiply the 2nd row by -1/8

Add -1 times the 2nd row to the 3rd row

Multiply the 3rd row by -8/41

Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row

Add -3 times the 2nd row to the 1st row

Answer:
How does y vary with x?
This is called direct variation and to find proportionality, we use the formula y/x = K
Step-by-step explanation:
The first table's results would look like:
6:15
12:30
18:45
24:60
30:75
To do these, you divide the y values by the constant to receive x.
If you need more help, you message me :) Good luck with your work!
<u>Solution</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>
>> -3 (3 - x) = 2x + 5
>> -3 × (3 - x) = 2x + 5
>> -9 + 3x = 2x + 5
>> 3x - 2x = 9 + 5
>> x = 14
<u>Solution</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u>
>> -6 - 9p = 3p
>> -9p - 3p = 6
>> -12p = 6
>> p = -1/2
<u>Solution</u><u> </u><u>3</u><u> </u><u>:</u><u>-</u>
>> -5 (-4 - a) = 3a + 8
>> -5 × (-4 - a) = 3a + 8
>> 20 + 5a = 3a + 8
>> 5a - 3a = 8 - 20
>> 2a = -12
>> a = -12 / 2
>> a = -6
<u>Solution</u><u> </u><u>4</u><u> </u><u>:</u><u>-</u>
>> s - 6 = -5s
>> s + 5s = 6
>> 6s = 6
>> s = 6 / 6
>> s = 1
Answer:
c = 12.73
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
81 + 81 = c^2
162 = c^2
c = 
c = 12.7279221
c = 12.73
Mark brainliest please!