*TIME(65 MILES PER HOUR)," "TIME(65)," and "T(65)" all represent which of

Mathematics

1 answer:

lara31 [8.8K]3 years ago

4 0

Answer: A. The distance traveled at 65 miles per hour for a certain amount of time.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Speed rate = distance/ time

Isolating distance:

Distance = speed rate x time

So, the time (T) multiplied by the speed rate (65) represents the distance traveled at 65 miles per hour for a certain amount of time.

In conclusion, the correct option is A.

Feel free to ask for more if needed or if you did not understand something.

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What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?

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D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

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2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . Since $m$ represents the slope of the line, substitute 2 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct: