After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 1500 meters below the surface of the water and ascend at 37 meters per hour. Note: under the water is a negative number. Write an equation to model this situation (use m for meters and h for hours)

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Step-by-step explanation:

Let m represent meters and h represent hours.

We have been given that Captain Brain and Mr. Pinky start 1500 meters below the surface of the water and ascend at 37 meters per hour.

Since the submarine ascends at a rate of 37 meters per hour, so elevation of submarine after h hours would be .

Since the elevation under water surface is negative, so 1500 meters below the surface of water would be .    

The final elevation in meters of submarine after h hours would be initial elevation plus change in elevation after h hours that is .

Therefore, the equation . represents the given scenario.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".