Answer:
If a line does not have a slope of zero then it is not horizontal.
Step-by-step explanation:
Contrapositive:
If a = b then not b = not a.
<h3>
Answer: depth is 656 feet</h3>
One equation you can use is y = -12x+752 and you plug in x = 8 to find y.
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Explanation:
x = number of minutes
y = depth of the submarine
Being at sea level means the depth is y = 0. Diving 752 ft below sea level means the depth is y = 752. It's tempting to make this negative since we're below sea level, but depth values are always positive. They are simply distances you are from the surface of the water. Negative distances are never possible. So this concept might be a bit tricky to get used to.
Possibly equally confusing is the fact that the "12 ft per minute" means the slope is -12. This is because the depth is getting smaller as the submarine gets closer to the surface (aka the sub is rising).
The equation is y = -12x+752. The equation is in the form y = mx+b with m = -12 as the slope and b = 752 as the y intercept. Note how the y intercept is the starting depth value.
From here, we plug in x = 8 to find where the sub is
y = -12x+752
y = -12*8+752
y = -96+752
y = 656
The submarine's depth after eight minutes is 656 feet
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An alternative equation to use is
y = 12x-752
which is very similar to the other one used earlier. All I did was flip the sign of each term. Now y represents the height of the sub. Negative y values indicate we're below the surface of the water. The slope being positive means the submarine is going upward. The negative y intercept indicates we're starting 752 feet below sea level. Plugging in x = 8 will lead to y = -656, which you'll need to make positive (since all depth values are positive).
As you can probably guess, the change from y = -12x+752 and y = 12x-752 is simply multiplying the right hand side by -1, which explains why the signs flip (and explains how the y value sign flips as well)
Answer:
The answer is $240
Step-by-step explanation:
You multiply 1.5 times 60 minutes and get 90, you then add 150 and 90 and you get 240.
Answer:
17,21,25
Step-by-step explanation:
the odd number is added by 4
Answer:
Assuming this is the full problem.
3x^2-8x+4
Step-by-step explanation: