Answer: x = 
Step-by-step explanation: Multiply -36 and 163/9 to get -652. Add 652 to both sides then add 130 and 652 to get 782. Divide both sides by -12 then reduce the fraction 782/-12 to lowest terms by extracting and canceling out 2. The system is now solved.
Answer:
580 yards long.
Step-by-step explanation:
The distance of the walking tour is = 1 mile
Step 1
We have to convert 1 mile to yards
Therefore ,
1 mile = 1760 yards
Step 2
We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.
The second step would be to find out how many yards is equal to half the distance of the tour.
Half the distance of the tour = 1/2 of a mile
And in step 1 we have converted whole distance of the tour to yards
= 1 mile = 1760 yards.
Hence, Half the distance of the tour = 1760 yards ÷ 2
= 880 yards.
Step 3
The group took a detour that was 300 yards shorter than half the distance of the tour.
This means mathematically,
Half the distance of the tour - 300 yards
= 880 yards - 300 yards
= 580 yards.
Therefore, the detour was 580 yards long.
Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4
The descent rate is 7 feet/second. the subs elevation would be 7 x 10(60) which is 7x 600the sub's elevation would therefore be 4,200 feet below sea level