Answer:
x = (k-14)/5
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x + 14-14 = k-14
5x = k-14
Divide by 5
5x/5 = (k-14)/5
x = (k-14)/5
Answer:
1 7/20 or 27/20
Step-by-step explanation:
Convert the fraction to where the denominators are both equal then subtract 2/5
Let 'T' be the number of hours after 8:00. ... Distance 'A' = 100 T. ... Distance 'B' = 160 (T-1.5). ... At the time when the later, faster train catches up with the earlier, slower one, the distances are equal. Write an equation that says they're equal, solve it for 'T', and add 'T' hours to 8:00.
The height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

We have given a table:
Time height
2 8
4 12
6 16
8 20
10 24
The slope of the line = (12-8)/(4-2) = 4/2 = 2
The value of the slope is positive we can say, the height of water increases as time passes.
Thus, the height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.
Learn more about the slope here:
brainly.com/question/3605446
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9514 1404 393
Answer:
169 ft
Step-by-step explanation:
The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...
c² = a² +b² -2ab·cos(C)
Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...
c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84
The outfielder throws the ball about 169 feet.